Legendre wavelets method for solving fractional partial differential equations with Dirichlet boundary conditions. Zbl 1298.65181
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F. |
|
2014
|
Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations. Zbl 1344.65126
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.; Cattani, C. |
|
2014
|
A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation. Zbl 1380.65185
Tayebi, A.; Shekari, Y.; Heydari, M. H. |
|
2017
|
A computational method for solving stochastic Itô-Volterra integral equations based on stochastic operational matrix for generalized hat basis functions. Zbl 1349.65711
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C. |
|
2014
|
Wavelets method for the time fractional diffusion-wave equation. Zbl 1304.35748
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C. |
|
2015
|
Two-dimensional Legendre wavelets for solving fractional Poisson equation with Dirichlet boundary conditions. Zbl 1287.65113
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Fereidouni, F. |
|
2013
|
Wavelets method for solving fractional optimal control problems. Zbl 1410.49032
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C. |
|
2016
|
Chebyshev cardinal wavelets and their application in solving nonlinear stochastic differential equations with fractional Brownian motion. Zbl 1506.65020
Heydari, M. H.; Mahmoudi, M. R.; Shakiba, A.; Avazzadeh, Z. |
|
2018
|
A new approach of the Chebyshev wavelets method for partial differential equations with boundary conditions of the telegraph type. Zbl 1427.65287
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M. |
|
2014
|
An efficient computational method for solving nonlinear stochastic Itô integral equations: application for stochastic problems in physics. Zbl 1351.60088
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Maalek Ghaini, F. M. |
|
2015
|
A new direct method based on the Chebyshev cardinal functions for variable-order fractional optimal control problems. Zbl 1395.49025
Heydari, Mohammad Hossein |
|
2018
|
Legendre wavelets optimization method for variable-order fractional Poisson equation. Zbl 1398.65316
Heydari, Mohammad Hossein; Avazzadeh, Zakieh |
|
2018
|
A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation. Zbl 1429.65239
Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Haromi, Malih Farzi |
|
2019
|
An operational matrix method for solving variable-order fractional biharmonic equation. Zbl 1402.65125
Heydari, M. H.; Avazzadeh, Z. |
|
2018
|
A meshless method for solving the time fractional advection-diffusion equation with variable coefficients. Zbl 1418.65144
Mardani, A.; Hooshmandasl, M. R.; Heydari, M. H.; Cattani, C. |
|
2018
|
A computational method for solving variable-order fractional nonlinear diffusion-wave equation. Zbl 1429.65240
Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Yang, Yin |
|
2019
|
Legendre wavelets Galerkin method for solving nonlinear stochastic integral equations. Zbl 1355.65011
Heydari, M. H.; Hooshmandasl, M. R.; Shakiba, A.; Cattani, C. |
|
2016
|
Wavelet collocation method for solving multiorder fractional differential equations. Zbl 1235.42034
Heydari, M. H.; Hooshmandasl, M. R.; Ghaini, F. M. Maalek; Mohammadi, F. |
|
2012
|
A meshfree approach for solving 2D variable-order fractional nonlinear diffusion-wave equation. Zbl 1441.65079
Shekari, Younes; Tayebi, Ali; Heydari, Mohammad Hossein |
|
2019
|
A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana-Baleanu-Caputo derivative. Zbl 1483.65165
Heydari, M. H.; Atangana, A. |
|
2019
|
Chebyshev cardinal wavelets for nonlinear stochastic differential equations driven with variable-order fractional Brownian motion. Zbl 1448.60090
Heydari, M. H.; Avazzadeh, Z.; Mahmoudi, M. R. |
|
2019
|
An optimization wavelet method for multi variable-order fractional differential equations. Zbl 1379.65046
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Hariharan, G. |
|
2017
|
Two-dimensional Legendre wavelets for solving variable-order fractional nonlinear advection-diffusion equation with variable coefficients. Zbl 1461.65247
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.; Maalek Ghaini, F. M. |
|
2018
|
Two-dimensional Legendre wavelets for solving time-fractional telegraph equation. Zbl 1308.65172
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F. |
|
2014
|
Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag-Leffler non-singular kernel. Zbl 1448.65103
Hosseininia, M.; Heydari, M. H. |
|
2019
|
Wavelets Galerkin method for solving stochastic heat equation. Zbl 1356.65018
Heydari, M. H.; Hooshmandasl, M. R.; Loghmani, Gh. Barid; Cattani, C. |
|
2016
|
Legendre wavelets method for solving fractional population growth model in a closed system. Zbl 1296.65108
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Li, Ming |
|
2013
|
Numerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivative. Zbl 1433.49045
Heydari, M. H. |
|
2020
|
A new wavelet method for variable-order fractional optimal control problems. Zbl 1407.93127
Heydari, Mohammad Hossein; Avazzadeh, Zakieh |
|
2018
|
Chebyshev cardinal functions for a new class of nonlinear optimal control problems generated by Atangana-Baleanu-Caputo variable-order fractional derivative. Zbl 1489.49021
Heydari, M. H. |
|
2020
|
Chebyshev cardinal wavelets for nonlinear variable-order fractional quadratic integral equations. Zbl 1433.65352
Heydari, Mohammad Hossein |
|
2019
|
Chebyshev wavelets method for solution of nonlinear fractional integrodifferential equations in a large interval. Zbl 1291.65245
Heydari, M. H.; Hooshmandasl, M. R.; Ghaini, F. M. Maalek; Li, Ming |
|
2013
|
A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation. Zbl 1464.65143
Heydari, M. H.; Hosseininia, M.; Atangana, A.; Avazzadeh, Z. |
|
2020
|
A computational wavelet method for variable-order fractional model of dual phase lag bioheat equation. Zbl 1452.65196
Hosseininia, M.; Heydari, M. H.; Roohi, R.; Avazzadeh, Z. |
|
2019
|
Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations. Zbl 1461.65246
Heydari, M. H.; Avazzadeh, Z.; Atangana, A. |
|
2021
|
An efficient computational method for solving fractional biharmonic equation. Zbl 1369.35106
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M. |
|
2014
|
Piecewise Chebyshev cardinal functions: application for constrained fractional optimal control problems. Zbl 1498.49011
Heydari, M. H.; Razzaghi, M. |
|
2021
|
Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag-Leffler non-singular kernel. Zbl 1448.65104
Hosseininia, M.; Heydari, M. H. |
|
2019
|
A direct method based on the Chebyshev polynomials for a new class of nonlinear variable-order fractional 2D optimal control problems. Zbl 1451.49044
Heydari, M. H. |
|
2019
|
A wavelet approach for the multi-term time fractional diffusion-wave equation. Zbl 1499.65527
Soltani Sarvestani, F.; Heydari, M. H.; Niknam, A.; Avazzadeh, Z. |
|
2019
|
SARS-CoV-2 rate of spread in and across tissue, groundwater and soil: a meshless algorithm for the fractional diffusion equation. Zbl 1521.92082
Bavi, O.; Hosseininia, M.; Heydari, M. H.; Bavi, N. |
|
2022
|
Moving least squares (MLS) method for the nonlinear hyperbolic telegraph equation with variable coefficients. Zbl 1404.65199
Mardani, A.; Hooshmandasl, M. R.; Hosseini, M. M.; Heydari, M. H. |
|
2017
|
A wavelet method to solve nonlinear variable-order time fractional 2D Klein-Gordon equation. Zbl 1443.65449
Hosseininia, M.; Heydari, M. H.; Maalek Ghaini, F. M.; Avazzadeh, Z. |
|
2019
|
A new operational matrix of fractional order integration for the Chebyshev wavelets and its application for nonlinear fractional van der Pol oscillator equation. Zbl 06877178
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C. |
|
2018
|
A cardinal method to solve coupled nonlinear variable-order time fractional sine-Gordon equations. Zbl 1449.35437
Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Yang, Yin; Cattani, Carlo |
|
2020
|
An optimization method based on the generalized Lucas polynomials for variable-order space-time fractional mobile-immobile advection-dispersion equation involving derivatives with non-singular kernels. Zbl 1434.35274
Heydari, M. H.; Atangana, A. |
|
2020
|
An efficient computational method based on the hat functions for solving fractional optimal control problems. Zbl 1341.49038
Heydari, M. H.; Hooshmandasl, M. R.; Shakiba, A.; Cattani, C. |
|
2016
|
Numerical treatment of the space-time fractal-fractional model of nonlinear advection-diffusion-reaction equation through the Bernstein polynomials. Zbl 07468583
Heydari, M. H.; Avazzadeh, Z.; Yang, Y. |
|
2020
|
Numerical solution of nonlinear fractal-fractional optimal control problems by Legendre polynomials. Zbl 1490.49007
Heydari, Mohammad Hossein; Atangana, Abdon; Avazzadeh, Zakieh |
|
2021
|
A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation. Zbl 1464.65144
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.; Maalek Ghaini, F. M. |
|
2021
|
Wavelets method for solving nonlinear stochastic Itô-Volterra integral equations. Zbl 1457.60104
Heydari, Mohammad Hossein; Hooshmandasl, Mohammad Reza; Cattani, Carlo |
|
2020
|
An efficient meshless method based on the moving kriging interpolation for two-dimensional variable-order time fractional mobile/immobile advection-diffusion model. Zbl 1473.65195
Habibirad, Ali; Hesameddini, Esmail; Heydari, Mohammad Hossein; Roohi, Reza |
|
2021
|
An accurate approach based on the orthonormal shifted discrete Legendre polynomials for variable-order fractional Sobolev equation. Zbl 1494.65088
Heydari, M. H.; Atangana, A. |
|
2021
|
The numerical treatment of nonlinear fractal-fractional 2D Emden-Fowler equation utilizing 2D Chelyshkov polynomials. Zbl 07468624
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z. |
|
2020
|
A computational method for solving two-dimensional nonlinear variable-order fractional optimal control problems. Zbl 07872651
Heydari, Mohammad Hossein; Avazzadeh, Zakieh |
|
2020
|
Discrete Chebyshev polynomials for nonsingular variable-order fractional KdV Burgers’ equation. Zbl 1470.35394
Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Cattani, Carlo |
|
2021
|
Modeling and forecasting the spread and death rate of coronavirus (COVID-19) in the world using time series models. Zbl 1495.92091
Maleki, Mohsen; Mahmoudi, Mohammad Reza; Heydari, Mohammad Hossein; Pho, Kim-Hung |
|
2020
|
Numerical study of nonlinear 2D optimal control problems with multi-term variable-order fractional derivatives in the Atangana-Baleanu-Caputo sense. Zbl 1483.65105
Pho, Kim-Hung; Heydari, M. H.; Tuan, Bui Anh; Mahmoudi, Mohammad Reza |
|
2020
|
A good approximate solution for Liénard equation in a large interval using block pulse functions. Zbl 1312.65112
Heydari, M. H.; Hooshmandasl, M. R.; Ghaini, F. M. Maalek |
|
2013
|
An efficient method for the numerical solution of a class of nonlinear fractional Fredholm integro-differential equations. Zbl 1401.65086
Heydari, M. H.; Laeli Dastjerdi, H.; Nili Ahmadabadi, M. |
|
2018
|
An efficient improvement of the Newton method for solving nonconvex optimization problems. Zbl 1424.65079
Dehghan Niri, Tayebeh; Hosseini, Mohammad Mehdi; Heydari, Mohammad |
|
2019
|
A computational method for a class of systems of nonlinear variable-order fractional quadratic integral equations. Zbl 1433.65351
Heydari, M. H. |
|
2020
|
A numerical method based on the Chebyshev cardinal functions for variable-order fractional version of the fourth-order 2D Kuramoto-Sivashinsky equation. Zbl 1486.65198
Hosseininia, M.; Heydari, M. H.; Hooshmandasl, M. R.; Ghaini, F. M. Maalek; Avazzadeh, Z. |
|
2021
|
Orthonormal Bernstein polynomials for solving nonlinear variable-order time fractional fourth-order diffusion-wave equation with nonsingular fractional derivative. Zbl 1490.65220
Heydari, M. H.; Avazzadeh, Z. |
|
2021
|
Chebyshev wavelets operational matrices for solving nonlinear variable-order fractional integral equations. Zbl 1486.65308
Yang, Y.; Heydari, M. H.; Avazzadeh, Z.; Atangana, A. |
|
2020
|
A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation. Zbl 1464.65121
Hosseininia, M.; Heydari, M. H.; Maalek Ghaini, F. M.; Avazzadeh, Z. |
|
2021
|
A direct computational method for nonlinear variable-order fractional delay optimal control problems. Zbl 07886921
Heydari, Mohammad Hossein; Avazzadeh, Zakieh |
|
2021
|
A new wavelet method for solving the Helmholtz equation with complex solution. Zbl 1350.65125
Heydari, M. H.; Hooshmandasl, M. R.; Ghaini, F. M. Maalek; Marji, M. Fatehi; Dehghan, R.; Memarian, M. H. |
|
2016
|
Legendre wavelets method for numerical solution of time-fractional heat equation. Zbl 1369.65127
Heydari, M. H.; Maalek Ghaini, F. M.; Hooshmandasl, M. R. |
|
2014
|
A block-by-block method for nonlinear variable-order fractional quadratic integral equations. Zbl 07657510
Afiatdoust, F.; Heydari, M. H.; Hosseini, M. M. |
|
2023
|
Testing the difference between spectral densities of two independent periodically correlated (cyclostationary) time series models. Zbl 07530024
Mahmoudi, Mohammad Reza; Heydari, Mohammad Hossein; Avazzadeh, Zakieh |
|
2019
|
A wavelet method for nonlinear variable-order time fractional 2D Schrödinger equation. Zbl 1484.42032
Hosseininia, Masoumeh; Heydari, Mohammad Hossein; Cattani, Carlo |
|
2021
|
A new class of orthonormal basis functions: application for fractional optimal control problems. Zbl 1483.49031
Heydari, M. H.; Razzaghi, M. |
|
2022
|
A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation. Zbl 07609370
Heydari, M. H.; Razzaghi, M.; Baleanu, D. |
|
2023
|
Vieta-Fibonacci wavelets: application in solving fractional pantograph equations. Zbl 1527.34012
Azin, Hadis; Heydari, Mohammad Hossein; Mohammadi, Fakhrodin |
|
2022
|
A meshless solution for the variable-order time fractional nonlinear Klein-Gordon equation. Zbl 1461.65245
Gharian, D.; Ghaini, F. M. Maalek; Heydari, M. H.; Avazzadeh, Z. |
|
2020
|
A new method to compare the spectral densities of two independent periodically correlated time series. Zbl 1540.62111
Mahmoudi, Mohammad Reza; Heydari, Mohammad Hossein; Roohi, Reza |
|
2019
|
A numerical approach for a class of nonlinear optimal control problems with piecewise fractional derivative. Zbl 1500.65024
Heydari, M. H.; Razzaghi, M. |
|
2021
|
Vieta-Lucas polynomials for the coupled nonlinear variable-order fractional Ginzburg-Landau equations. Zbl 1467.35305
Heydari, M. H.; Avazzadeh, Z.; Razzaghi, M. |
|
2021
|
Numerical investigation of variable-order fractional Benjamin-Bona-Mahony-Burgers equation using a pseudo-spectral method. Zbl 1486.65197
Heydari, Mohammad Hossein; Razzaghi, Mohsen; Avazzadeh, Zakieh |
|
2021
|
Shifted Vieta-Fibonacci polynomials for the fractal-fractional fifth-order KdV equation. Zbl 1473.35485
Heydari, M. H.; Avazzadeh, Z.; Atangana, A. |
|
2021
|
A hybrid method for solving time fractional advection-diffusion equation on unbounded space domain. Zbl 1486.65186
Azin, H.; Mohammadi, F.; Heydari, M. H. |
|
2020
|
Jacobi spectral method for variable-order fractional Benney-Lin equation arising in falling film problems. Zbl 1524.65654
Heydari, M. H.; Razzaghi, M. |
|
2022
|
Orthonormal shifted discrete Legendre polynomials for the variable-order fractional extended Fisher-Kolmogorov equation. Zbl 1498.35577
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z. |
|
2022
|
A hybrid approach established upon the Müntz-Legender functions and 2D Müntz-Legendre wavelets for fractional Sobolev equation.
(A hybrid approach established upon the Müntz-Legender functions and 2D Müntz-Legender wavelets for fractional Sobolev equation.) Zbl 1527.34019
Hosseininia, Masoumeh; Heydari, Mohammad Hossein; Avazzadeh, Zakieh |
|
2022
|
Application of the extended Chebyshev cardinal wavelets in solving fractional optimal control problems with ABC fractional derivative. Zbl 1504.49007
Heydari, M. H.; Tavakoli, R.; Razzaghi, M. |
|
2022
|
A numerical method for variable-order fractional version of the coupled 2D Burgers equations by the 2D Chelyshkov polynomials. Zbl 1496.65114
Hosseininia, M.; Heydari, M. H.; Ghaini, F. M. Maalek |
|
2021
|
Orthonormal shifted discrete Chebyshev polynomials: application for a fractal-fractional version of the coupled Schrödinger-Boussinesq system. Zbl 1498.65170
Heydari, M. H.; Razzaghi, M.; Avazzadeh, Z. |
|
2021
|
Shifted Jacobi polynomials for nonlinear singular variable-order time fractional Emden-Fowler equation generated by derivative with non-singular kernel. Zbl 1494.35158
Heydari, M. H.; Avazzadeh, Z.; Atangana, A. |
|
2021
|
A new optimized method for solving variable-order fractional differential equations. Zbl 1400.26014
Hassani, H.; Dahaghin, M. Sh.; Heydari, M. H. |
|
2017
|
Wilson wavelets for solving nonlinear stochastic integral equations. Zbl 1412.60097
Mousavi, Bibi Khadijeh; Askari-Hemmat, Ataollah; Heydari, Mohammad Hossien |
|
2017
|
An efficient iterative approach for three-dimensional modified anomalous fractional sub-diffusion equations on a large domain. Zbl 1459.65094
Ma, Zhonglian; Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Cattani, Carlo |
|
2019
|
An efficient Jacobi spectral method for variable-order time fractional 2D Wu-Zhang system. Zbl 07692037
Heydari, M. H.; Hosseininia, M. |
|
2023
|
Meshless local Petrov-Galerkin method for 2D fractional Fokker-Planck equation involved with the ABC fractional derivative. Zbl 1524.65655
Hosseininia, M.; Heydari, M. H.; Razzaghi, M. |
|
2022
|
Solution of nonlinear singular initial value problems of generalized Lane-Emden type using block pulse functions in a large interval. Zbl 1431.34023
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.; Ciancio, A. |
|
2016
|
Fibonacci polynomials for the numerical solution of variable-order space-time fractional Burgers-Huxley equation. Zbl 1496.65179
Heydari, M. H.; Avazzadeh, Z. |
|
2021
|
Extended Chebyshev cardinal wavelets for nonlinear fractional delay optimal control problems. Zbl 1489.49015
Heydari, M. H.; Razzaghi, M. |
|
2022
|
An application of Wilson system in numerical solution of Fredholm integral equations. Zbl 1438.65337
Mousavi, B. Kh.; Hemmat, A. Askari; Heydari, M. H. |
|
2017
|
Highly accurate solutions for space-time fractional Schrödinger equations with non-smooth continuous solution using the hybrid clique functions. Zbl 07695257
Heydari, M. H.; Razzaghi, M. |
|
2023
|
Chebyshev cardinal polynomials for delay distributed-order fractional fourth-order sub-diffusion equation. Zbl 1506.35265
Heydari, M. H.; Razzaghi, M.; Rouzegar, J. |
|
2022
|
Discrete Chebyshev polynomials for the numerical solution of stochastic fractional two-dimensional Sobolev equation. Zbl 1531.65197
Heydari, M. H.; Zhagharian, Sh.; Razzaghi, M. |
|
2024
|
A new wavelet method for fractional integro-differential equations with \(\psi\)-Caputo fractional derivative. Zbl 1540.65553
Heydari, M. H.; Razzaghi, M. |
|
2024
|
A block-by-block method for nonlinear variable-order fractional quadratic integral equations. Zbl 07657510
Afiatdoust, F.; Heydari, M. H.; Hosseini, M. M. |
|
2023
|
A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation. Zbl 07609370
Heydari, M. H.; Razzaghi, M.; Baleanu, D. |
|
2023
|
An efficient Jacobi spectral method for variable-order time fractional 2D Wu-Zhang system. Zbl 07692037
Heydari, M. H.; Hosseininia, M. |
|
2023
|
Highly accurate solutions for space-time fractional Schrödinger equations with non-smooth continuous solution using the hybrid clique functions. Zbl 07695257
Heydari, M. H.; Razzaghi, M. |
|
2023
|
The direct meshless local Petrov-Galerkin technique with its error estimate for distributed-order time fractional cable equation. Zbl 1521.65092
Habibirad, Ali; Hesameddini, Esmail; Azin, Hadis; Heydari, Mohammad Hossein |
|
2023
|
A hybrid method based on the Chebyshev cardinal functions/wavelets for time fractional coupled Klein-Gordon-Schrödinger equations. Zbl 07698182
Heydari, M. H.; Razzaghi, M. |
|
2023
|
Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations. Zbl 1538.65615
Heydari, M. H.; Razzaghi, M.; Cattani, C. |
|
2023
|
Numerical solution of distributed-order fractional 2D optimal control problems using the Bernstein polynomials. Zbl 1521.49025
Heydari, Mohammad Hossein; Razzaghi, Mohsen; Zhagharian, Shabnam |
|
2023
|
A block-by-block strategy for fractional systems of nonlinear weakly singular integro-differential equations. Zbl 1538.65604
Afiatdoust, F.; Heydari, M. H.; Hosseini, M. M. |
|
2023
|
A mathematical model for precise predicting microbial propagation based on solving variable-order fractional diffusion equation. Zbl 1531.35348
Bavi, O.; Hosseininia, M.; Heydari, M. H. |
|
2023
|
A block-by-block approach for nonlinear fractional integro-differential equations. Zbl 07761286
Afiatdoust, F.; Heydari, M. H.; Hosseini, M. M. |
|
2023
|
A numerical method for nonlinear fractional reaction-advection-diffusion equation with piecewise fractional derivative. Zbl 1518.35630
Heydari, M. H.; Atangana, A. |
|
2023
|
SARS-CoV-2 rate of spread in and across tissue, groundwater and soil: a meshless algorithm for the fractional diffusion equation. Zbl 1521.92082
Bavi, O.; Hosseininia, M.; Heydari, M. H.; Bavi, N. |
|
2022
|
A new class of orthonormal basis functions: application for fractional optimal control problems. Zbl 1483.49031
Heydari, M. H.; Razzaghi, M. |
|
2022
|
Vieta-Fibonacci wavelets: application in solving fractional pantograph equations. Zbl 1527.34012
Azin, Hadis; Heydari, Mohammad Hossein; Mohammadi, Fakhrodin |
|
2022
|
Jacobi spectral method for variable-order fractional Benney-Lin equation arising in falling film problems. Zbl 1524.65654
Heydari, M. H.; Razzaghi, M. |
|
2022
|
Orthonormal shifted discrete Legendre polynomials for the variable-order fractional extended Fisher-Kolmogorov equation. Zbl 1498.35577
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z. |
|
2022
|
A hybrid approach established upon the Müntz-Legender functions and 2D Müntz-Legendre wavelets for fractional Sobolev equation.
(A hybrid approach established upon the Müntz-Legender functions and 2D Müntz-Legender wavelets for fractional Sobolev equation.) Zbl 1527.34019
Hosseininia, Masoumeh; Heydari, Mohammad Hossein; Avazzadeh, Zakieh |
|
2022
|
Application of the extended Chebyshev cardinal wavelets in solving fractional optimal control problems with ABC fractional derivative. Zbl 1504.49007
Heydari, M. H.; Tavakoli, R.; Razzaghi, M. |
|
2022
|
Meshless local Petrov-Galerkin method for 2D fractional Fokker-Planck equation involved with the ABC fractional derivative. Zbl 1524.65655
Hosseininia, M.; Heydari, M. H.; Razzaghi, M. |
|
2022
|
Extended Chebyshev cardinal wavelets for nonlinear fractional delay optimal control problems. Zbl 1489.49015
Heydari, M. H.; Razzaghi, M. |
|
2022
|
Chebyshev cardinal polynomials for delay distributed-order fractional fourth-order sub-diffusion equation. Zbl 1506.35265
Heydari, M. H.; Razzaghi, M.; Rouzegar, J. |
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2022
|
Third-kind Chebyshev cardinal functions for variable-order time fractional RLW-Burgers equation. Zbl 1527.34018
Heydari, Mohammad Hossein; Razzaghi, Mohsen |
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2022
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A computational method based on the generalized Lucas polynomials for fractional optimal control problems. Zbl 1535.49023
Karami, Sh.; Fakharzadeh Jahromi, A.; Heydari, M. H. |
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2022
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Orthonormal shifted discrete Hahn polynomials for a new category of nonlinear variable-order fractional 2D optimal control problems. Zbl 07887110
Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Cattani, Carlo |
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2022
|
A hybrid wavelet-meshless method for variable-order fractional regularized long-wave equation. Zbl 1521.65098
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z. |
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2022
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Orthonormal shifted discrete Legendre polynomials for solving a coupled system of nonlinear variable-order time fractional reaction-advection-diffusion equations. Zbl 1461.65246
Heydari, M. H.; Avazzadeh, Z.; Atangana, A. |
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2021
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Piecewise Chebyshev cardinal functions: application for constrained fractional optimal control problems. Zbl 1498.49011
Heydari, M. H.; Razzaghi, M. |
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2021
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Numerical solution of nonlinear fractal-fractional optimal control problems by Legendre polynomials. Zbl 1490.49007
Heydari, Mohammad Hossein; Atangana, Abdon; Avazzadeh, Zakieh |
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2021
|
A hybrid method based on the orthogonal Bernoulli polynomials and radial basis functions for variable order fractional reaction-advection-diffusion equation. Zbl 1464.65144
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.; Maalek Ghaini, F. M. |
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2021
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An efficient meshless method based on the moving kriging interpolation for two-dimensional variable-order time fractional mobile/immobile advection-diffusion model. Zbl 1473.65195
Habibirad, Ali; Hesameddini, Esmail; Heydari, Mohammad Hossein; Roohi, Reza |
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2021
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An accurate approach based on the orthonormal shifted discrete Legendre polynomials for variable-order fractional Sobolev equation. Zbl 1494.65088
Heydari, M. H.; Atangana, A. |
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2021
|
Discrete Chebyshev polynomials for nonsingular variable-order fractional KdV Burgers’ equation. Zbl 1470.35394
Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Cattani, Carlo |
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2021
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A numerical method based on the Chebyshev cardinal functions for variable-order fractional version of the fourth-order 2D Kuramoto-Sivashinsky equation. Zbl 1486.65198
Hosseininia, M.; Heydari, M. H.; Hooshmandasl, M. R.; Ghaini, F. M. Maalek; Avazzadeh, Z. |
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2021
|
Orthonormal Bernstein polynomials for solving nonlinear variable-order time fractional fourth-order diffusion-wave equation with nonsingular fractional derivative. Zbl 1490.65220
Heydari, M. H.; Avazzadeh, Z. |
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2021
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A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation. Zbl 1464.65121
Hosseininia, M.; Heydari, M. H.; Maalek Ghaini, F. M.; Avazzadeh, Z. |
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2021
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A direct computational method for nonlinear variable-order fractional delay optimal control problems. Zbl 07886921
Heydari, Mohammad Hossein; Avazzadeh, Zakieh |
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2021
|
A wavelet method for nonlinear variable-order time fractional 2D Schrödinger equation. Zbl 1484.42032
Hosseininia, Masoumeh; Heydari, Mohammad Hossein; Cattani, Carlo |
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2021
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A numerical approach for a class of nonlinear optimal control problems with piecewise fractional derivative. Zbl 1500.65024
Heydari, M. H.; Razzaghi, M. |
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2021
|
Vieta-Lucas polynomials for the coupled nonlinear variable-order fractional Ginzburg-Landau equations. Zbl 1467.35305
Heydari, M. H.; Avazzadeh, Z.; Razzaghi, M. |
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2021
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Numerical investigation of variable-order fractional Benjamin-Bona-Mahony-Burgers equation using a pseudo-spectral method. Zbl 1486.65197
Heydari, Mohammad Hossein; Razzaghi, Mohsen; Avazzadeh, Zakieh |
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2021
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Shifted Vieta-Fibonacci polynomials for the fractal-fractional fifth-order KdV equation. Zbl 1473.35485
Heydari, M. H.; Avazzadeh, Z.; Atangana, A. |
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2021
|
A numerical method for variable-order fractional version of the coupled 2D Burgers equations by the 2D Chelyshkov polynomials. Zbl 1496.65114
Hosseininia, M.; Heydari, M. H.; Ghaini, F. M. Maalek |
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2021
|
Orthonormal shifted discrete Chebyshev polynomials: application for a fractal-fractional version of the coupled Schrödinger-Boussinesq system. Zbl 1498.65170
Heydari, M. H.; Razzaghi, M.; Avazzadeh, Z. |
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2021
|
Shifted Jacobi polynomials for nonlinear singular variable-order time fractional Emden-Fowler equation generated by derivative with non-singular kernel. Zbl 1494.35158
Heydari, M. H.; Avazzadeh, Z.; Atangana, A. |
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2021
|
Fibonacci polynomials for the numerical solution of variable-order space-time fractional Burgers-Huxley equation. Zbl 1496.65179
Heydari, M. H.; Avazzadeh, Z. |
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2021
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Numerical solution of nonlinear 2D optimal control problems generated by Atangana-Riemann-Liouville fractal-fractional derivative. Zbl 1433.49045
Heydari, M. H. |
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2020
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Chebyshev cardinal functions for a new class of nonlinear optimal control problems generated by Atangana-Baleanu-Caputo variable-order fractional derivative. Zbl 1489.49021
Heydari, M. H. |
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2020
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A meshless approach for solving nonlinear variable-order time fractional 2D Ginzburg-Landau equation. Zbl 1464.65143
Heydari, M. H.; Hosseininia, M.; Atangana, A.; Avazzadeh, Z. |
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2020
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A cardinal method to solve coupled nonlinear variable-order time fractional sine-Gordon equations. Zbl 1449.35437
Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Yang, Yin; Cattani, Carlo |
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2020
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An optimization method based on the generalized Lucas polynomials for variable-order space-time fractional mobile-immobile advection-dispersion equation involving derivatives with non-singular kernels. Zbl 1434.35274
Heydari, M. H.; Atangana, A. |
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2020
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Numerical treatment of the space-time fractal-fractional model of nonlinear advection-diffusion-reaction equation through the Bernstein polynomials. Zbl 07468583
Heydari, M. H.; Avazzadeh, Z.; Yang, Y. |
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2020
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Wavelets method for solving nonlinear stochastic Itô-Volterra integral equations. Zbl 1457.60104
Heydari, Mohammad Hossein; Hooshmandasl, Mohammad Reza; Cattani, Carlo |
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2020
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The numerical treatment of nonlinear fractal-fractional 2D Emden-Fowler equation utilizing 2D Chelyshkov polynomials. Zbl 07468624
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z. |
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2020
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A computational method for solving two-dimensional nonlinear variable-order fractional optimal control problems. Zbl 07872651
Heydari, Mohammad Hossein; Avazzadeh, Zakieh |
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2020
|
Modeling and forecasting the spread and death rate of coronavirus (COVID-19) in the world using time series models. Zbl 1495.92091
Maleki, Mohsen; Mahmoudi, Mohammad Reza; Heydari, Mohammad Hossein; Pho, Kim-Hung |
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2020
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Numerical study of nonlinear 2D optimal control problems with multi-term variable-order fractional derivatives in the Atangana-Baleanu-Caputo sense. Zbl 1483.65105
Pho, Kim-Hung; Heydari, M. H.; Tuan, Bui Anh; Mahmoudi, Mohammad Reza |
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2020
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A computational method for a class of systems of nonlinear variable-order fractional quadratic integral equations. Zbl 1433.65351
Heydari, M. H. |
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2020
|
Chebyshev wavelets operational matrices for solving nonlinear variable-order fractional integral equations. Zbl 1486.65308
Yang, Y.; Heydari, M. H.; Avazzadeh, Z.; Atangana, A. |
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2020
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A meshless solution for the variable-order time fractional nonlinear Klein-Gordon equation. Zbl 1461.65245
Gharian, D.; Ghaini, F. M. Maalek; Heydari, M. H.; Avazzadeh, Z. |
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2020
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A hybrid method for solving time fractional advection-diffusion equation on unbounded space domain. Zbl 1486.65186
Azin, H.; Mohammadi, F.; Heydari, M. H. |
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2020
|
Wilson wavelets method for solving nonlinear fractional Fredholm-Hammerstein integro-differential equations. Zbl 1480.65380
Mousavi, B. Kh.; Heydari, M. H. |
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2020
|
A wavelet approach for solving multi-term variable-order time fractional diffusion-wave equation. Zbl 1429.65239
Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Haromi, Malih Farzi |
|
2019
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A computational method for solving variable-order fractional nonlinear diffusion-wave equation. Zbl 1429.65240
Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Yang, Yin |
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2019
|
A meshfree approach for solving 2D variable-order fractional nonlinear diffusion-wave equation. Zbl 1441.65079
Shekari, Younes; Tayebi, Ali; Heydari, Mohammad Hossein |
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2019
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A cardinal approach for nonlinear variable-order time fractional Schrödinger equation defined by Atangana-Baleanu-Caputo derivative. Zbl 1483.65165
Heydari, M. H.; Atangana, A. |
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2019
|
Chebyshev cardinal wavelets for nonlinear stochastic differential equations driven with variable-order fractional Brownian motion. Zbl 1448.60090
Heydari, M. H.; Avazzadeh, Z.; Mahmoudi, M. R. |
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2019
|
Meshfree moving least squares method for nonlinear variable-order time fractional 2D telegraph equation involving Mittag-Leffler non-singular kernel. Zbl 1448.65103
Hosseininia, M.; Heydari, M. H. |
|
2019
|
Chebyshev cardinal wavelets for nonlinear variable-order fractional quadratic integral equations. Zbl 1433.65352
Heydari, Mohammad Hossein |
|
2019
|
A computational wavelet method for variable-order fractional model of dual phase lag bioheat equation. Zbl 1452.65196
Hosseininia, M.; Heydari, M. H.; Roohi, R.; Avazzadeh, Z. |
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2019
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Legendre wavelets for the numerical solution of nonlinear variable-order time fractional 2D reaction-diffusion equation involving Mittag-Leffler non-singular kernel. Zbl 1448.65104
Hosseininia, M.; Heydari, M. H. |
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2019
|
A direct method based on the Chebyshev polynomials for a new class of nonlinear variable-order fractional 2D optimal control problems. Zbl 1451.49044
Heydari, M. H. |
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2019
|
A wavelet approach for the multi-term time fractional diffusion-wave equation. Zbl 1499.65527
Soltani Sarvestani, F.; Heydari, M. H.; Niknam, A.; Avazzadeh, Z. |
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2019
|
A wavelet method to solve nonlinear variable-order time fractional 2D Klein-Gordon equation. Zbl 1443.65449
Hosseininia, M.; Heydari, M. H.; Maalek Ghaini, F. M.; Avazzadeh, Z. |
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2019
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An efficient improvement of the Newton method for solving nonconvex optimization problems. Zbl 1424.65079
Dehghan Niri, Tayebeh; Hosseini, Mohammad Mehdi; Heydari, Mohammad |
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2019
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Testing the difference between spectral densities of two independent periodically correlated (cyclostationary) time series models. Zbl 07530024
Mahmoudi, Mohammad Reza; Heydari, Mohammad Hossein; Avazzadeh, Zakieh |
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2019
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A new method to compare the spectral densities of two independent periodically correlated time series. Zbl 1540.62111
Mahmoudi, Mohammad Reza; Heydari, Mohammad Hossein; Roohi, Reza |
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2019
|
An efficient iterative approach for three-dimensional modified anomalous fractional sub-diffusion equations on a large domain. Zbl 1459.65094
Ma, Zhonglian; Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Cattani, Carlo |
|
2019
|
A meshless method for the variable-order time fractional telegraph equation. Zbl 1473.65239
Maalek, Farid; Gharian, Davood; Heydari, Mohammad Hossein |
|
2019
|
Chebyshev cardinal wavelets and their application in solving nonlinear stochastic differential equations with fractional Brownian motion. Zbl 1506.65020
Heydari, M. H.; Mahmoudi, M. R.; Shakiba, A.; Avazzadeh, Z. |
|
2018
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A new direct method based on the Chebyshev cardinal functions for variable-order fractional optimal control problems. Zbl 1395.49025
Heydari, Mohammad Hossein |
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2018
|
Legendre wavelets optimization method for variable-order fractional Poisson equation. Zbl 1398.65316
Heydari, Mohammad Hossein; Avazzadeh, Zakieh |
|
2018
|
An operational matrix method for solving variable-order fractional biharmonic equation. Zbl 1402.65125
Heydari, M. H.; Avazzadeh, Z. |
|
2018
|
A meshless method for solving the time fractional advection-diffusion equation with variable coefficients. Zbl 1418.65144
Mardani, A.; Hooshmandasl, M. R.; Heydari, M. H.; Cattani, C. |
|
2018
|
Two-dimensional Legendre wavelets for solving variable-order fractional nonlinear advection-diffusion equation with variable coefficients. Zbl 1461.65247
Hosseininia, M.; Heydari, M. H.; Avazzadeh, Z.; Maalek Ghaini, F. M. |
|
2018
|
A new wavelet method for variable-order fractional optimal control problems. Zbl 1407.93127
Heydari, Mohammad Hossein; Avazzadeh, Zakieh |
|
2018
|
A new operational matrix of fractional order integration for the Chebyshev wavelets and its application for nonlinear fractional van der Pol oscillator equation. Zbl 06877178
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C. |
|
2018
|
An efficient method for the numerical solution of a class of nonlinear fractional Fredholm integro-differential equations. Zbl 1401.65086
Heydari, M. H.; Laeli Dastjerdi, H.; Nili Ahmadabadi, M. |
|
2018
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A meshless method for solving two-dimensional variable-order time fractional advection-diffusion equation. Zbl 1380.65185
Tayebi, A.; Shekari, Y.; Heydari, M. H. |
|
2017
|
An optimization wavelet method for multi variable-order fractional differential equations. Zbl 1379.65046
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Hariharan, G. |
|
2017
|
Moving least squares (MLS) method for the nonlinear hyperbolic telegraph equation with variable coefficients. Zbl 1404.65199
Mardani, A.; Hooshmandasl, M. R.; Hosseini, M. M.; Heydari, M. H. |
|
2017
|
A new optimized method for solving variable-order fractional differential equations. Zbl 1400.26014
Hassani, H.; Dahaghin, M. Sh.; Heydari, M. H. |
|
2017
|
Wilson wavelets for solving nonlinear stochastic integral equations. Zbl 1412.60097
Mousavi, Bibi Khadijeh; Askari-Hemmat, Ataollah; Heydari, Mohammad Hossien |
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2017
|
An application of Wilson system in numerical solution of Fredholm integral equations. Zbl 1438.65337
Mousavi, B. Kh.; Hemmat, A. Askari; Heydari, M. H. |
|
2017
|
A new optimization method based on generalized polynomials for fractional differential equations. Zbl 1379.34008
Hassani, Hossein; Dahaghin, Mohammad Shafie; Heydari, Mohammad Hossein; Eshkaftaki, Ali Bayati |
|
2017
|
Wavelets method for solving fractional optimal control problems. Zbl 1410.49032
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C. |
|
2016
|
Legendre wavelets Galerkin method for solving nonlinear stochastic integral equations. Zbl 1355.65011
Heydari, M. H.; Hooshmandasl, M. R.; Shakiba, A.; Cattani, C. |
|
2016
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Wavelets Galerkin method for solving stochastic heat equation. Zbl 1356.65018
Heydari, M. H.; Hooshmandasl, M. R.; Loghmani, Gh. Barid; Cattani, C. |
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2016
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