Chaotic behaviour of fractional predator-prey dynamical system. Zbl 1489.92119
Kumar, Sunil; Kumar, Ranbir; Cattani, Carlo; Samet, Bessem |
|
2020
|
On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Zbl 1378.35329
Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Cattani, Carlo |
|
2016
|
A new Rabotnov fractional-exponential function-based fractional derivative for diffusion equation under external force. Zbl 1447.35359
Kumar, Sunil; Nisar, Kottakkaran Sooppy; Kumar, Ranbir; Cattani, Carlo; Samet, Bessem |
|
2020
|
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
|
Complex solitons in the conformable \((2+1)\)-dimensional Ablowitz-Kaup-Newell-Segur equation. Zbl 1484.35377
Gao, Wei; Yel, Gulnur; Baskonus, Haci Mehmet; Cattani, Carlo |
|
2020
|
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
|
Fundamental solutions of anomalous diffusion equations with the decay exponential kernel. Zbl 1425.35228
Yang, Xiao-Jun; Feng, Yi-Ying; Cattani, Carlo; Inc, Mustafa |
|
2019
|
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
|
Wavelets method for solving fractional optimal control problems. Zbl 1410.49032
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C. |
|
2016
|
Harmonic wavelets towards the solution of nonlinear PDE. Zbl 1118.65133
Cattani, C. |
|
2005
|
Wavelet and wave analysis as applied to materials with micro or nanostructure. Zbl 1152.74001
Cattani, Carlo; Rushchitsky, Jeremiah |
|
2007
|
Harmonic wavelet method towards solution of the Fredholm type integral equations of the second kind. Zbl 1186.65160
Cattani, C.; Kudreyko, A. |
|
2010
|
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
|
Shannon wavelets theory. Zbl 1162.42314
Cattani, Carlo |
|
2008
|
Fractals and hidden symmetries in DNA. Zbl 1189.92015
Cattani, Carlo |
|
2010
|
A generalized fractional-order Legendre wavelet Tau method for solving fractional differential equations. Zbl 1464.65079
Mohammadi, Fakhrodin; Cattani, Carlo |
|
2018
|
Haar wavelet splines. Zbl 1019.65107
Cattani, Carlo |
|
2001
|
Shannon wavelets for the solution of integrodifferential equations. Zbl 1191.65174
Cattani, Carlo |
|
2010
|
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
|
Application of local fractional series expansion method to solve Klein-Gordon equations on Cantor sets. Zbl 1472.35342
Yang, Ai-Min; Zhang, Yu-Zhu; Cattani, Carlo; Xie, Gong-Nan; Rashidi, Mohammad Mehdi; Zhou, Yi-Jun; Yang, Xiao-Jun |
|
2014
|
Fractional dynamics. Zbl 1333.00024
|
|
2015
|
Legendre wavelets Galerkin method for solving nonlinear stochastic integral equations. Zbl 1355.65011
Heydari, M. H.; Hooshmandasl, M. R.; Shakiba, A.; Cattani, C. |
|
2016
|
Local fractional variational iteration and decomposition methods for wave equation on Cantor sets within local fractional operators. Zbl 1468.35226
Baleanu, Dumitru; Tenreiro Machado, J. A.; Cattani, Carlo; Baleanu, Mihaela Cristina; Yang, Xiao-Jun |
|
2014
|
Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model. Zbl 1490.92009
Ali, Khalid K.; Cattani, Carlo; Gómez-Aguilar, J. F.; Baleanu, Dumitru; Osman, M. S. |
|
2020
|
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
|
Connection coefficients of Shannon wavelets. Zbl 1117.65179
Cattani, C. |
|
2006
|
Hybrid two scales mathematical tools for active particles modelling complex systems with learning hiding dynamics. Zbl 1142.82019
Cattani, C.; Ciancio, A. |
|
2007
|
On the fractal geometry of DNA by the binary image analysis. Zbl 1272.92013
Cattani, Carlo; Pierro, Gaetano |
|
2013
|
Fractional calculus and Shannon wavelet. Zbl 1264.42016
Cattani, Carlo |
|
2012
|
Markov models for image labeling. Zbl 1264.68189
Chen, S. Y.; Tong, Hanyang; Cattani, Carlo |
|
2012
|
Wavelets Galerkin method for solving stochastic heat equation. Zbl 1356.65018
Heydari, M. H.; Hooshmandasl, M. R.; Loghmani, Gh. Barid; Cattani, C. |
|
2016
|
Haar wavelets based technique in evolution problems. Zbl 1049.65103
Cattani, Carlo |
|
2004
|
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
|
Traffic dynamics on complex networks: a survey. Zbl 1264.90031
Chen, Shengyong; Huang, Wei; Cattani, Carlo; Altieri, Giuseppe |
|
2012
|
Boundary integration over linear polyhedra. Zbl 0697.65004
Cattani, C.; Paoluzzi, A. |
|
1990
|
Haar wavelet-based technique for sharp jumps classification. Zbl 1046.94504
Cattani, C. |
|
2004
|
Maxwell’s equations on Cantor sets: a local fractional approach. Zbl 1328.82035
Zhao, Yang; Baleanu, Dumitru; Cattani, Carlo; Cheng, De-Fu; Yang, Xiao-Jun |
|
2013
|
On the existence of wavelet symmetries in archaea DNA. Zbl 1234.92014
Cattani, Carlo |
|
2012
|
Modeling of biological intelligence for SCM system optimization. Zbl 1235.90022
Chen, Shengyong; Zheng, Yujun; Cattani, Carlo; Wang, Wanliang |
|
2012
|
On the fractal distribution of primes and prime-indexed primes by the binary image analysis. Zbl 1400.11012
Cattani, Carlo; Ciancio, Armando |
|
2016
|
Analysis of large-amplitude pulses in short time intervals: application to neuron interactions. Zbl 1189.37099
Mattioli, Gianni; Scalia, Massimo; Cattani, Carlo |
|
2010
|
Application of periodized harmonic wavelets towards solution of eigenvalue problems for integral equations. Zbl 1191.65175
Cattani, Carlo; Kudreyko, Aleksey |
|
2010
|
Cubically nonlinear elastic waves: wave equations and methods of analysis. Zbl 1130.74395
Cattani, C.; Ruschitsky, Ya. Ya. |
|
2003
|
Characteristic roots of a class of fractional oscillators. Zbl 1328.34007
Li, Ming; Lim, S. C.; Cattani, Carlo; Scalia, Massimo |
|
2013
|
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
|
Delay bound: fractal traffic passes through network servers. Zbl 1296.90023
Li, Ming; Zhao, Wei; Cattani, Carlo |
|
2013
|
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
|
Entropy and multifractality for the myeloma multiple TET 2 gene. Zbl 1264.92017
Cattani, Carlo; Pierro, Gaetano; Altieri, Giuseppe |
|
2012
|
Qualitative analysis of second-order models of tumor-immune system competition. Zbl 1145.34303
Cattani, C.; Ciancio, A. |
|
2008
|
Evaluation of mixed Crank-Nicolson scheme and tau method for the solution of Klein-Gordon equation. Zbl 1427.65217
Nemati Saray, Behzad; Lakestani, Mehrdad; Cattani, Carlo |
|
2018
|
Legendre spectral method for the fractional Bratu problem. Zbl 1451.65162
Singh, Harendra; Ghassabzadeh, Fahimeh Akhavan; Tohidi, Emran; Cattani, Carlo |
|
2020
|
Separable transition density in the hybrid model for tumor-immune system competition. Zbl 1234.92026
Cattani, Carlo; Ciancio, Armando |
|
2012
|
Invariance and existence analysis for semilinear hyperbolic equations with damping and conical singularity. Zbl 1382.35163
Alimohammady, Mohsen; Cattani, Carlo; Kalleji, Morteza Koozehgar |
|
2017
|
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
|
On fractional predator and prey models with mutualistic predation including non-local and nonsingular kernels. Zbl 1489.92116
Ghanbari, Behzad; Cattani, Carlo |
|
2020
|
Yang-Laplace decomposition method for nonlinear system of local fractional partial differential equations. Zbl 1524.49038
Ziane, Djelloul; Cherif, Mountassir Hamdi; Cattani, Carlo; Belghaba, Kacem |
|
2019
|
Mutiscale analysis of the Fisher equation. Zbl 1297.65209
Cattani, Carlo; Kudreyko, Aleksey |
|
2008
|
On a mathematical model of immune competition. Zbl 1278.92017
Cattani, C.; Ciancio, A.; Lods, B. |
|
2006
|
Metamodeling the learning-hiding competition between tumours and the immune system: A kinematic approach. Zbl 1201.34071
Cattani, Carlo; Ciancio, Armando; D’Onofrio, Alberto |
|
2010
|
Complexity on acute myeloid leukemia mRNA transcript variant. Zbl 1235.92025
Cattani, Carlo; Pierro, Gaetano |
|
2011
|
Dimension-independent modeling with simplicial complexes. Zbl 0770.68114
Paoluzzi, A.; Bernardini, F.; Cattani, C.; Ferrucci, V. |
|
1993
|
Differential models. Stability, inequalities and estimates. Edited and with a preface by Samojlenko. Zbl 1051.34001
Samoilenko, A.; Borysenko, S.; Cattani, C.; Matarazzo, G.; Yasinsky, V. |
|
2001
|
Applications of bi-framelet systems for solving fractional order differential equations. Zbl 1482.65107
Mohammad, Mutaz; Cattani, Carlo |
|
2020
|
Analysis of a solitary wave evolution in a composite material with application of the wavelet theory. Zbl 1075.74048
Ruschitsky, Ya. Ya.; Cattani, C.; Terletsky, E. V. |
|
2004
|
On the critical strip of the Riemann zeta fractional derivative. Zbl 1376.26007
Cattani, C.; Guariglia, E.; Wang, S. |
|
2017
|
Wavelets method for solving nonlinear stochastic Itô-Volterra integral equations. Zbl 1457.60104
Heydari, Mohammad Hossein; Hooshmandasl, Mohammad Reza; Cattani, Carlo |
|
2020
|
Picard successive approximation method for solving differential equations arising in fractal heat transfer with local fractional derivative. Zbl 1470.35418
Yang, Ai-Min; Zhang, Cheng; Jafari, Hossein; Cattani, Carlo; Jiao, Ying |
|
2014
|
A numerical scheme for a class of generalized Burgers’ equation based on Haar wavelet nonstandard finite difference method. Zbl 1486.65211
Verma, Amit Kumar; Rawani, Mukesh Kumar; Cattani, Carlo |
|
2021
|
Simplicial approach to fractal structures. Zbl 1264.28005
Cattani, Carlo; Laserra, Ettore; Bochicchio, Ivana |
|
2012
|
Physical constants of a certain type of nonlinear elastic fibrous micro- and nanocomposites in the presence of rigid or soft nonlinearity. Zbl 1129.74013
Cattani, C.; Ruschitsky, Ya. Ya.; Sinchylo, S. V. |
|
2005
|
Multiscale analysis of wave propagation in composite materials. Zbl 1109.74332
Cattani, C. |
|
2003
|
On a numerical method based on wavelets for Fredholm-Hammerstein integral equations of the second kind. Zbl 1406.65138
Micula, Sanda; Cattani, Carlo |
|
2018
|
Local fractional \(Z\)-transforms with applications to signals on Cantor sets. Zbl 1468.94171
Liu, Kai; Hu, Ren-Jie; Cattani, Carlo; Xie, Gong-Nan; Yang, Xiao-Jun; Zhao, Yang |
|
2014
|
Signal processing for nondifferentiable data defined on Cantor sets: a local fractional Fourier series approach. Zbl 1291.94021
Chen, Zhi-Yong; Cattani, Carlo; Zhong, Wei-Ping |
|
2014
|
Discrete Chebyshev polynomials for nonsingular variable-order fractional KdV Burgers’ equation. Zbl 1470.35394
Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Cattani, Carlo |
|
2021
|
Fractional Brownian motion: difference iterative forecasting models. Zbl 1448.62136
Song, Wanqing; Li, Ming; Li, Yuanyuan; Cattani, Carlo; Chi, Chi-Hung |
|
2019
|
Fractal dynamical model of vehicular traffic flow within the local fractional conservation laws. Zbl 1468.90038
Wang, Long-Fei; Yang, Xiao-Jun; Baleanu, Dumitru; Cattani, Carlo; Zhao, Yang |
|
2014
|
Patterns of a superdiffusive consumer-resource model with hunting cooperation functional response. Zbl 1498.92157
Djilali, Salih; Cattani, Carlo |
|
2021
|
Harmonic wavelet solution of Poisson’s problem. Zbl 1172.35309
Cattani, Carlo |
|
2008
|
Similarities and differencies in the description of evolution of quadratically nonlinear hyperelastic plane waves. Zbl 1126.74418
Ruschitskiy, Ya. Ya.; Cattani, C. |
|
2006
|
Signorini cylindrical waves and Shannon wavelets. Zbl 1329.74105
Cattani, Carlo |
|
2012
|
Differential models. Construction, representations & applications. Edited and with a preface by Samoilenko. Zbl 1051.34039
Samoilenko, A.; Borysenko, S.; Cattani, C.; Yasinsky, V. |
|
2001
|
A wavelet method for nonlinear variable-order time fractional 2D Schrödinger equation. Zbl 1484.42032
Hosseininia, Masoumeh; Heydari, Mohammad Hossein; Cattani, Carlo |
|
2021
|
Analytical solutions of the one-dimensional heat equations arising in fractal transient conduction with local fractional derivative. Zbl 1291.35016
Yang, Ai-Ming; Cattani, Carlo; Jafari, Hossein; Yang, Xiao-Jun |
|
2013
|
Solving Fokker-Planck equations on Cantor sets using local fractional decomposition method. Zbl 1468.65173
Yan, Shao-Hong; Chen, Xiao-Hong; Xie, Gong-Nan; Cattani, Carlo; Yang, Xiao-Jun |
|
2014
|
On the discrete harmonic wavelet transform. Zbl 1166.65404
Cattani, Carlo; Kudreyko, Aleksey |
|
2008
|
The dynamics of COVID-19 in the UAE based on fractional derivative modeling using Riesz wavelets simulation. Zbl 1494.37055
Mohammad, Mutaz; Trounev, Alexander; Cattani, Carlo |
|
2021
|
A novel hybrid approach for computing numerical solution of the time-fractional nonlinear one and two-dimensional partial integro-differential equation. Zbl 1508.65110
Rawani, Mukesh Kumar; Verma, Amit Kumar; Cattani, Carlo |
|
2023
|
Cubically nonlinear elastic waves as compared with quadratic ones. Main wave effects. Zbl 1095.74017
Cattani, C.; Ruschitsky, Ya. Ya. |
|
2003
|
Discrete differential operators in multidimensional Haar wavelet spaces. Zbl 1075.39008
Cattani, Carlo; Sánchez Ruiz, Luis M. |
|
2004
|
Local fractional discrete wavelet transform for solving signals on Cantor sets. Zbl 1299.94040
Zhao, Yang; Baleanu, Dumitru; Cattani, Carlo; Cheng, De-Fu; Yang, Xiao-Jun |
|
2013
|
New type of Gegenbauer-Hermite monogenic polynomials and associated Clifford wavelets. Zbl 1455.94005
Arfaoui, Sabrine; Ben Mabrouk, Anouar; Cattani, Carlo |
|
2020
|
Adaptive binary arithmetic coder-based image feature and segmentation in the compressed domain. Zbl 1264.94014
Hsin, Hsi-Chin; Sung, Tze-Yun; Shieh, Yaw-Shih; Cattani, Carlo |
|
2012
|
Multiobjective quantum evolutionary algorithm for the vehicle routing problem with customer satisfaction. Zbl 1264.90025
Zhang, Jingling; Wang, Wanliang; Zhao, Yanwei; Cattani, Carlo |
|
2012
|
Wavelet based approach to fractals and fractal signal denoising. Zbl 1273.94134
Cattani, Carlo |
|
2009
|
Second order Shannon wavelet approximation of \(C^2\)-functions. Zbl 1249.42024
Cattani, Carlo |
|
2011
|
Periodic, complex and kink-type solitons for the nonlinear model in microtubules. Zbl 1423.35057
Baskonus, Haci Mehmet; Cattani, Carlo; Ciancio, Armando |
|
2019
|
Numerical inverse Laplace transform for solving a class of fractional differential equations. Zbl 1425.35222
Rani, Dimple; Mishra, Vinod; Cattani, Carlo |
|
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
|
Stability analysis of neural network controller based on event triggering. Zbl 1448.93247
Gao, Yan; Guo, Xin; Yao, Rao; Zhou, Wuneng; Cattani, Carlo |
|
2020
|
Extraction of the gravitational potential and high-frequency wave perturbation properties of nonlinear \((3 + 1)\)-dimensional Vakhnenko-Parkes equation via novel approach. Zbl 07861209
Yan, Li; Mehmet Baskonus, Haci; Cattani, Carlo; Gao, Wei |
|
2024
|
A novel hybrid approach for computing numerical solution of the time-fractional nonlinear one and two-dimensional partial integro-differential equation. Zbl 1508.65110
Rawani, Mukesh Kumar; Verma, Amit Kumar; Cattani, Carlo |
|
2023
|
Approximating solutions to fractional-order Bagley-Torvik equation via generalized Bessel polynomial on large domains. Zbl 1516.65055
Izadi, Mohammad; Yüzbaşı, Şuayip; Cattani, Carlo |
|
2023
|
An efficient numerical approach for solving three-point Lane-Emden-Fowler boundary value problem. Zbl 1540.65232
Shahni, Julee; Singh, Randhir; Cattani, Carlo |
|
2023
|
Bernoulli collocation method for the third-order Lane-Emden-Fowler boundary value problem. Zbl 1522.65135
Shahni, Julee; Singh, Randhir; Cattani, Carlo |
|
2023
|
Fractional Chebyshev cardinal wavelets: application for fractional quadratic integro-differential equations. Zbl 1538.65615
Heydari, M. H.; Razzaghi, M.; Cattani, C. |
|
2023
|
Hilbert solution of fuzzy fractional boundary value problems. Zbl 1498.65109
Hasan, S.; Harrouche, N.; Al-Omari, S. K. Q.; Al-Smadi, M.; Momani, S.; Cattani, C. |
|
2022
|
Wavelet solution of a strongly nonlinear Lane-Emden equation. Zbl 1515.65342
Tiwari, Diksha; Verma, Amit K.; Cattani, Carlo |
|
2022
|
Fractal analysis. Basic concepts and applications. Zbl 1494.28001
Cattani, Carlo; Ben Mabrouk, Anouar; Arfaoui, Sabrine |
|
2022
|
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 |
|
2022
|
A numerical scheme for a class of generalized Burgers’ equation based on Haar wavelet nonstandard finite difference method. Zbl 1486.65211
Verma, Amit Kumar; Rawani, Mukesh Kumar; Cattani, Carlo |
|
2021
|
Discrete Chebyshev polynomials for nonsingular variable-order fractional KdV Burgers’ equation. Zbl 1470.35394
Heydari, Mohammad Hossein; Avazzadeh, Zakieh; Cattani, Carlo |
|
2021
|
Patterns of a superdiffusive consumer-resource model with hunting cooperation functional response. Zbl 1498.92157
Djilali, Salih; Cattani, Carlo |
|
2021
|
A wavelet method for nonlinear variable-order time fractional 2D Schrödinger equation. Zbl 1484.42032
Hosseininia, Masoumeh; Heydari, Mohammad Hossein; Cattani, Carlo |
|
2021
|
The dynamics of COVID-19 in the UAE based on fractional derivative modeling using Riesz wavelets simulation. Zbl 1494.37055
Mohammad, Mutaz; Trounev, Alexander; Cattani, Carlo |
|
2021
|
An efficient numerical approach to solve a class of variable-order fractional integro-partial differential equations. Zbl 1534.65122
Babaei, Afshin; Banihashemi, Seddigheh; Cattani, Carlo |
|
2021
|
A novel exact solution for the fractional Ambartsumian equation. Zbl 1487.45005
Ebaid, Abdelhalim; Cattani, Carlo; Al Juhani, Amnah S.; El-Zahar, Essam R. |
|
2021
|
Solution of nonlocal fractional-order boundary value problems by an effective accurate approximation method. Zbl 1486.65086
Izadi, Mohammad; Cattani, Carlo |
|
2021
|
Wavelet analysis. Basic concepts and applications. Zbl 1459.42001
Arfaoui, Sabrine; Ben Mabrouk, Anouar; Cattani, Carlo |
|
2021
|
Chaotic behaviour of fractional predator-prey dynamical system. Zbl 1489.92119
Kumar, Sunil; Kumar, Ranbir; Cattani, Carlo; Samet, Bessem |
|
2020
|
A new Rabotnov fractional-exponential function-based fractional derivative for diffusion equation under external force. Zbl 1447.35359
Kumar, Sunil; Nisar, Kottakkaran Sooppy; Kumar, Ranbir; Cattani, Carlo; Samet, Bessem |
|
2020
|
Complex solitons in the conformable \((2+1)\)-dimensional Ablowitz-Kaup-Newell-Segur equation. Zbl 1484.35377
Gao, Wei; Yel, Gulnur; Baskonus, Haci Mehmet; Cattani, Carlo |
|
2020
|
Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model. Zbl 1490.92009
Ali, Khalid K.; Cattani, Carlo; Gómez-Aguilar, J. F.; Baleanu, Dumitru; Osman, M. S. |
|
2020
|
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
|
Legendre spectral method for the fractional Bratu problem. Zbl 1451.65162
Singh, Harendra; Ghassabzadeh, Fahimeh Akhavan; Tohidi, Emran; Cattani, Carlo |
|
2020
|
On fractional predator and prey models with mutualistic predation including non-local and nonsingular kernels. Zbl 1489.92116
Ghanbari, Behzad; Cattani, Carlo |
|
2020
|
Applications of bi-framelet systems for solving fractional order differential equations. Zbl 1482.65107
Mohammad, Mutaz; Cattani, Carlo |
|
2020
|
Wavelets method for solving nonlinear stochastic Itô-Volterra integral equations. Zbl 1457.60104
Heydari, Mohammad Hossein; Hooshmandasl, Mohammad Reza; Cattani, Carlo |
|
2020
|
New type of Gegenbauer-Hermite monogenic polynomials and associated Clifford wavelets. Zbl 1455.94005
Arfaoui, Sabrine; Ben Mabrouk, Anouar; Cattani, Carlo |
|
2020
|
Stability analysis of neural network controller based on event triggering. Zbl 1448.93247
Gao, Yan; Guo, Xin; Yao, Rao; Zhou, Wuneng; Cattani, Carlo |
|
2020
|
On algorithms for difference of monotone operators. Zbl 1512.90180
Ramazannejad, Maede; Alimohammady, Mohsen; Cattani, Carlo |
|
2020
|
Fractal similarities between the distribution of primes and nucleotides in DNA. Zbl 07353726
Cattani, Carlo |
|
2020
|
Fundamental solutions of anomalous diffusion equations with the decay exponential kernel. Zbl 1425.35228
Yang, Xiao-Jun; Feng, Yi-Ying; Cattani, Carlo; Inc, Mustafa |
|
2019
|
Yang-Laplace decomposition method for nonlinear system of local fractional partial differential equations. Zbl 1524.49038
Ziane, Djelloul; Cherif, Mountassir Hamdi; Cattani, Carlo; Belghaba, Kacem |
|
2019
|
Fractional Brownian motion: difference iterative forecasting models. Zbl 1448.62136
Song, Wanqing; Li, Ming; Li, Yuanyuan; Cattani, Carlo; Chi, Chi-Hung |
|
2019
|
Periodic, complex and kink-type solitons for the nonlinear model in microtubules. Zbl 1423.35057
Baskonus, Haci Mehmet; Cattani, Carlo; Ciancio, Armando |
|
2019
|
Numerical inverse Laplace transform for solving a class of fractional differential equations. Zbl 1425.35222
Rani, Dimple; Mishra, Vinod; Cattani, Carlo |
|
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
|
Computational methods for data analysis. Zbl 1407.68013
Karaca, Yeliz; Cattani, Carlo |
|
2019
|
On the minimal solution of bi-Laplacian equation. Zbl 1438.35018
Alizadeh, Mohsen; Alimohammady, Mohsen; Cattani, Carlo; Cesarano, Clemente |
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2019
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A generalized fractional-order Legendre wavelet Tau method for solving fractional differential equations. Zbl 1464.65079
Mohammadi, Fakhrodin; Cattani, Carlo |
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2018
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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. |
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2018
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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. |
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2018
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Evaluation of mixed Crank-Nicolson scheme and tau method for the solution of Klein-Gordon equation. Zbl 1427.65217
Nemati Saray, Behzad; Lakestani, Mehrdad; Cattani, Carlo |
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2018
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On a numerical method based on wavelets for Fredholm-Hammerstein integral equations of the second kind. Zbl 1406.65138
Micula, Sanda; Cattani, Carlo |
|
2018
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Numerical inversion of Laplace transform based on Bernstein operational matrix. Zbl 1406.65135
Rani, Dimple; Mishra, Vinod; Cattani, Carlo |
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2018
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Nonlinear dynamical model for DNA. Zbl 1417.35207
Baskonus, Haci Mehmet; Cattani, Carlo |
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2018
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An optimization wavelet method for multi variable-order fractional differential equations. Zbl 1379.65046
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Hariharan, G. |
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2017
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Invariance and existence analysis for semilinear hyperbolic equations with damping and conical singularity. Zbl 1382.35163
Alimohammady, Mohsen; Cattani, Carlo; Kalleji, Morteza Koozehgar |
|
2017
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On the critical strip of the Riemann zeta fractional derivative. Zbl 1376.26007
Cattani, C.; Guariglia, E.; Wang, S. |
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2017
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Theory and applications of fractional Fourier transform and its variants. Preface. Zbl 1378.00128
|
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2017
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On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Zbl 1378.35329
Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Cattani, Carlo |
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2016
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Wavelets method for solving fractional optimal control problems. Zbl 1410.49032
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C. |
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2016
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Legendre wavelets Galerkin method for solving nonlinear stochastic integral equations. Zbl 1355.65011
Heydari, M. H.; Hooshmandasl, M. R.; Shakiba, A.; Cattani, C. |
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2016
|
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
|
On the fractal distribution of primes and prime-indexed primes by the binary image analysis. Zbl 1400.11012
Cattani, Carlo; Ciancio, Armando |
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2016
|
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
|
Wavelets method for the time fractional diffusion-wave equation. Zbl 1304.35748
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C. |
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2015
|
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. |
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2015
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Fractional dynamics. Zbl 1333.00024
|
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2015
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Generalized hybrid kinetic mathematical model for population dynamics. Zbl 1326.35401
Cattani, Carlo; Ciancio, Armando |
|
2015
|
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
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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
|
Application of local fractional series expansion method to solve Klein-Gordon equations on Cantor sets. Zbl 1472.35342
Yang, Ai-Min; Zhang, Yu-Zhu; Cattani, Carlo; Xie, Gong-Nan; Rashidi, Mohammad Mehdi; Zhou, Yi-Jun; Yang, Xiao-Jun |
|
2014
|
Local fractional variational iteration and decomposition methods for wave equation on Cantor sets within local fractional operators. Zbl 1468.35226
Baleanu, Dumitru; Tenreiro Machado, J. A.; Cattani, Carlo; Baleanu, Mihaela Cristina; Yang, Xiao-Jun |
|
2014
|
Picard successive approximation method for solving differential equations arising in fractal heat transfer with local fractional derivative. Zbl 1470.35418
Yang, Ai-Min; Zhang, Cheng; Jafari, Hossein; Cattani, Carlo; Jiao, Ying |
|
2014
|
Local fractional \(Z\)-transforms with applications to signals on Cantor sets. Zbl 1468.94171
Liu, Kai; Hu, Ren-Jie; Cattani, Carlo; Xie, Gong-Nan; Yang, Xiao-Jun; Zhao, Yang |
|
2014
|
Signal processing for nondifferentiable data defined on Cantor sets: a local fractional Fourier series approach. Zbl 1291.94021
Chen, Zhi-Yong; Cattani, Carlo; Zhong, Wei-Ping |
|
2014
|
Fractal dynamical model of vehicular traffic flow within the local fractional conservation laws. Zbl 1468.90038
Wang, Long-Fei; Yang, Xiao-Jun; Baleanu, Dumitru; Cattani, Carlo; Zhao, Yang |
|
2014
|
Solving Fokker-Planck equations on Cantor sets using local fractional decomposition method. Zbl 1468.65173
Yan, Shao-Hong; Chen, Xiao-Hong; Xie, Gong-Nan; Cattani, Carlo; Yang, Xiao-Jun |
|
2014
|
Local fractional variational iteration method for inhomogeneous Helmholtz equation within local fractional derivative operator. Zbl 1407.65320
Wang, Xian-Jin; Zhao, Yang; Cattani, Carlo; Yang, Xiao-Jun |
|
2014
|
Local fractional Laplace variational iteration method for nonhomogeneous heat equations arising in fractal heat flow. Zbl 1407.65321
Xu, Shu; Ling, Xiang; Cattani, Carlo; Xie, Gong-Nan; Yang, Xiao-Jun; Zhao, Yang |
|
2014
|
Approximate solutions for local fractional linear transport equations arising in fractal porous media. Zbl 1291.82114
Li, Meng; Hui, Xiao-Feng; Cattani, Carlo; Yang, Xiao-Jun; Zhao, Yang |
|
2014
|
On the fractal geometry of DNA by the binary image analysis. Zbl 1272.92013
Cattani, Carlo; Pierro, Gaetano |
|
2013
|
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
|
Maxwell’s equations on Cantor sets: a local fractional approach. Zbl 1328.82035
Zhao, Yang; Baleanu, Dumitru; Cattani, Carlo; Cheng, De-Fu; Yang, Xiao-Jun |
|
2013
|
Characteristic roots of a class of fractional oscillators. Zbl 1328.34007
Li, Ming; Lim, S. C.; Cattani, Carlo; Scalia, Massimo |
|
2013
|
Delay bound: fractal traffic passes through network servers. Zbl 1296.90023
Li, Ming; Zhao, Wei; Cattani, Carlo |
|
2013
|
Analytical solutions of the one-dimensional heat equations arising in fractal transient conduction with local fractional derivative. Zbl 1291.35016
Yang, Ai-Ming; Cattani, Carlo; Jafari, Hossein; Yang, Xiao-Jun |
|
2013
|
Local fractional discrete wavelet transform for solving signals on Cantor sets. Zbl 1299.94040
Zhao, Yang; Baleanu, Dumitru; Cattani, Carlo; Cheng, De-Fu; Yang, Xiao-Jun |
|
2013
|
Regular solutions in vacuum Brans-Dicke theory compared to vacuum Einstein theory. Zbl 1328.83142
Khaybullina, Alina; Izmailov, Ramil; Nandi, Kamal K.; Cattani, Carlo |
|
2013
|
A class of solutions for the hybrid kinetic model in the tumor-immune system competition. Zbl 1296.35198
Cattani, Carlo; Ciancio, Armando |
|
2013
|
Chaotic charged system search with a feasible-based method for constraint optimization problems. Zbl 1296.78013
Nouhi, B.; Talatahari, S.; Kheiri, H.; Cattani, C. |
|
2013
|
A Shannon-Runge-Kutta-Gill method for convection-diffusion equations. Zbl 1296.76082
Duan, Xiaoming; Leng, Jinsong; Cattani, Carlo; Li, Caiyun |
|
2013
|
Construction of bivariate nonseparable compactly supported orthogonal wavelets. Zbl 1299.94038
Leng, Jinsong; Huang, Tingzhu; Cattani, Carlo |
|
2013
|
Fractional calculus and Shannon wavelet. Zbl 1264.42016
Cattani, Carlo |
|
2012
|
Markov models for image labeling. Zbl 1264.68189
Chen, S. Y.; Tong, Hanyang; Cattani, Carlo |
|
2012
|
Traffic dynamics on complex networks: a survey. Zbl 1264.90031
Chen, Shengyong; Huang, Wei; Cattani, Carlo; Altieri, Giuseppe |
|
2012
|
On the existence of wavelet symmetries in archaea DNA. Zbl 1234.92014
Cattani, Carlo |
|
2012
|
Modeling of biological intelligence for SCM system optimization. Zbl 1235.90022
Chen, Shengyong; Zheng, Yujun; Cattani, Carlo; Wang, Wanliang |
|
2012
|
Entropy and multifractality for the myeloma multiple TET 2 gene. Zbl 1264.92017
Cattani, Carlo; Pierro, Gaetano; Altieri, Giuseppe |
|
2012
|
Separable transition density in the hybrid model for tumor-immune system competition. Zbl 1234.92026
Cattani, Carlo; Ciancio, Armando |
|
2012
|
Simplicial approach to fractal structures. Zbl 1264.28005
Cattani, Carlo; Laserra, Ettore; Bochicchio, Ivana |
|
2012
|
Signorini cylindrical waves and Shannon wavelets. Zbl 1329.74105
Cattani, Carlo |
|
2012
|
Adaptive binary arithmetic coder-based image feature and segmentation in the compressed domain. Zbl 1264.94014
Hsin, Hsi-Chin; Sung, Tze-Yun; Shieh, Yaw-Shih; Cattani, Carlo |
|
2012
|
Multiobjective quantum evolutionary algorithm for the vehicle routing problem with customer satisfaction. Zbl 1264.90025
Zhang, Jingling; Wang, Wanliang; Zhao, Yanwei; Cattani, Carlo |
|
2012
|
Fast detection of weak singularities in a chaotic signal using Lorenz system and the bisection algorithm. Zbl 1264.94069
Song, Tiezheng; Cattani, Carlo |
|
2012
|
Hidden-Markov-Models-based dynamic hand gesture recognition. Zbl 1264.68155
Wang, Xiaoyan; Xia, Ming; Cai, Huiwen; Gao, Yong; Cattani, Carlo |
|
2012
|
Complexity on acute myeloid leukemia mRNA transcript variant. Zbl 1235.92025
Cattani, Carlo; Pierro, Gaetano |
|
2011
|
Second order Shannon wavelet approximation of \(C^2\)-functions. Zbl 1249.42024
Cattani, Carlo |
|
2011
|
| ...and 54 more Documents |
