Found 284 Documents (Results 1–100)
A meshless approach based on fractional interpolation theory and improved neural network bases for solving non-smooth solution of 2D fractional reaction-diffusion equation with distributed order. (English) Zbl 07899953
A second-order difference scheme for two-dimensional two-sided space distributed-order fractional diffusion equations with variable coefficients. (English) Zbl 1541.65074
Modelling fractional-order moisture transport in irrigation using artificial neural networks. (English) Zbl 07884892
Error analyses on block-centered finite difference schemes for distributed-order non-Fickian flow. (English) Zbl 07866643
Initial value and terminal value problems for distributed order fractional diffusion equations. (English) Zbl 07864142
A fast third order algorithm for two dimensional inhomogeneous fractional parabolic partial differential equations. (English) Zbl 07856511
A new meshless method of solving the distributed-order time-fractional mobile-immobile equations. (English) Zbl 07850540
Unconditionally optimal time two-mesh mixed finite element algorithm for a nonlinear fourth-order distributed-order time fractional diffusion equation. (English) Zbl 1537.65142
A novel method based on fractional order Gegenbauer wavelet operational matrix for the solutions of the multi-term time-fractional telegraph equation of distributed order. (English) Zbl 1540.35447
Numerical study of distributed-order Bessel fractional derivative with application to Euler-Poisson-Darboux equation. (English) Zbl 1534.65120
The well-posedness for the distributed-order wave equation on \(\mathbb{R}^N\). (English) Zbl 1528.34012
MSC:
34A08
Generalized Lyapunov stability theory of continuous-time and discrete-time nonlinear distributed-order systems and its application to boundedness and attractiveness for networks models. (English) Zbl 1531.34019
Reviewer: Mohamed Ziane (Tiaret)
Numerical study on radiative MHD flow of viscoelastic fluids with distributed-order and variable-order space fractional operators. (English) Zbl 1540.76241
New operational matrix of Riemann-Liouville fractional derivative of orthonormal Bernoulli polynomials for the numerical solution of some distributed-order time-fractional partial differential equations. (English) Zbl 07921265
A numerical method for two-dimensional distributed-order fractional nonlinear Sobolev equation. (English) Zbl 07921155
Solving distributed-order fractional equations by LS-SVR. (English) Zbl 07914327
Rad, Jamal Amani (ed.) et al., Learning with fractional orthogonal kernel classifiers in support vector machines. Theory, algorithms and applications. Singapore: Springer. Ind. Appl. Math., 225-243 (2023).
Integrated radial basis function technique to simulate the nonlinear system of time fractional distributed-order diffusion equation with graded time-mesh discretization. (English) Zbl 1539.65082
Local discontinuous Galerkin method for the Riesz space distributed-order Sobolev equation. (English) Zbl 1537.65130
A two-grid ADI finite element approximation for a nonlinear distributed-order fractional sub-diffusion equation. (English) Zbl 1534.65184
An optimum solution for multi-dimensional distributed-order fractional differential equations. (English) Zbl 1531.65200
Multi-output physics-informed neural network for one- and two-dimensional nonlinear time distributed-order models. (English) Zbl 1535.65230
Numerical solution of multidimensional time-space fractional differential equations of distributed order with Riesz derivative. (English) Zbl 1535.65136
An RBF-FD method for numerical solutions of 2D diffusion-wave and diffusion equations of distributed fractional order. (English) Zbl 1529.65018
Transmutation operators intertwining first-order and distributed-order derivatives. (English) Zbl 1530.35353
Equivalence of definitions of solutions for some class of fractional diffusion equations. (English) Zbl 1530.35345
A hybrid fourth order time stepping method for space distributed order nonlinear reaction-diffusion equations. (English) Zbl 1538.65289
Hahn hybrid functions for solving distributed order fractional Black-Scholes European option pricing problem arising in financial market. (English) Zbl 1530.91613
A new operational vector approach for time-fractional subdiffusion equations of distributed order based on hybrid functions. (English) Zbl 1531.35354
A distributed-order fractional diffusion equation with a singular density function: analysis and approximation. (English) Zbl 1531.65186
A study of distributed-order time fractional diffusion models with continuous distribution weight functions. (English) Zbl 1536.65092
A fast Alikhanov algorithm with general nonuniform time steps for a two-dimensional distributed-order time-space fractional advection-dispersion equation. (English) Zbl 1535.65182
A kernel-based pseudo-spectral method for multi-term and distributed order time-fractional diffusion equations. (English) Zbl 07777021
A fourth-order accurate numerical method for the distributed-order Riesz space fractional diffusion equation. (English) Zbl 07776962
Recovery of a distributed order fractional derivative in an unknown medium. (English) Zbl 1527.35493
The role of the weight function in the generalised distributed-order Maxwell model: the case of a distributed-springpot and a dashpot. (English) Zbl 1525.76006
An efficient numerical method for the distributed order time-fractional diffusion equation with error analysis and stability. (English) Zbl 1540.65283
Stability analysis of difference-Legendre spectral method for two-dimensional Riesz space distributed-order diffusion-wave model. (English) Zbl 07731302
High-order orthogonal spline collocation ADI scheme for a new complex two-dimensional distributed-order fractional integro-differential equation with two weakly singular kernels. (English) Zbl 1524.35696
Error analysis of a finite difference method for the distributed order sub-diffusion equation using discrete comparison principle. (English) Zbl 1540.65277
An \(\alpha\)-robust fast algorithm for distributed-order time-space fractional diffusion equation with weakly singular solution. (English) Zbl 1540.65333
A meshless method for solving two-dimensional distributed-order time-fractional cable equation. (English) Zbl 1517.65076
Identifying a space-dependent source term in distributed order time-fractional diffusion equations. (English) Zbl 1538.65471
Numerical solution of the diffusion problem of distributed order based on the sinc-collocation method. (English) Zbl 1512.65234
Improved Gegenbauer spectral tau algorithms for distributed-order time-fractional telegraph models in multi-dimensions. (English) Zbl 07694958
MSC:
65Mxx
The direct meshless local Petrov-Galerkin technique with its error estimate for distributed-order time fractional cable equation. (English) Zbl 1521.65092
Novel and accurate Gegenbauer spectral tau algorithms for distributed order nonlinear time-fractional telegraph models in multi-dimensions. (English) Zbl 1508.65138
Reviewer: Marius Ghergu (Dublin)
An ADI orthogonal spline collocation method for a new two-dimensional distributed-order fractional integro-differential equation. (English) Zbl 1524.65402
Wavelets based computational algorithms for multidimensional distributed order fractional differential equations with nonlinear source term. (English) Zbl 1538.65420
A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation. (English) Zbl 07609370
MSC:
65Mxx
Fast high-order compact difference scheme for the nonlinear distributed-order fractional Sobolev model appearing in porous media. (English) Zbl 1540.65313
Initial-value problem for a second-order ordinary differential equation with distributed-order differentiation operator. (Russian. English summary) Zbl 1536.45002
A numerical method for finding solution of the distributed-order time-fractional forced Korteweg-de Vries equation including the Caputo fractional derivative. (English) Zbl 1527.65071
Numerical solution of ABC space-time fractional distributed order reaction-diffusion equation. (English) Zbl 1535.65226
Time-fractional telegraph equation of distributed order in higher dimensions with Hilfer fractional derivatives. (English) Zbl 1512.35641
A Legendre spectral-finite difference method for Caputo-Fabrizio time-fractional distributed-order diffusion equation. (English) Zbl 1510.65190
A composite collocation method based on the fractional Chelyshkov wavelets for distributed-order fractional mobile-immobile advection-dispersion equation. (English) Zbl 07623343
A circulant preconditioner for the Riesz distributed-order space-fractional diffusion equations. (English) Zbl 1500.65041
Fractional integro-differential sliding mode control of a class of distributed-order nonlinear systems. (English) Zbl 1500.93018
A new and efficient approach for solving linear and nonlinear time-fractional diffusion equations of distributed order. (English) Zbl 1524.35689
An investigation of space distributed-order models for simulating anomalous transport in a binary medium. (English) Zbl 1510.35253
MSC:
35Q49
The analysis of approximate controllability for distributed order fractional diffusion problems. (English) Zbl 1503.35272
Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration. (English) Zbl 1500.35290
The application of the distributed-order time fractional Bloch model to magnetic resonance imaging. (English) Zbl 1510.94031
A fast algorithm for two-dimensional distributed-order time-space fractional diffusion equations. (English) Zbl 1510.65210
The well-posedness analysis of distributed order fractional diffusion problems on \(\mathbb{R}^N\). (English) Zbl 1489.35304
Some boundary-value problems of filtration dynamics corresponding to models of fractional diffusion of distributed order. (English. Ukrainian original) Zbl 1487.35158
Cybern. Syst. Anal. 58, No. 1, 65-76 (2022); translation from Kibern. Sist. Anal. 58, No. 1, 77-89 (2022).
High dimensional Riesz space distributed-order advection-dispersion equations with ADI scheme in compression format. (English) Zbl 07510644
Fast and efficient finite difference method for the distributed-order diffusion equation based on the staggered grids. (English) Zbl 1486.65137
A new operational matrix based on Müntz-Legendre polynomials for solving distributed order fractional differential equations. (English) Zbl 1540.65257
A fast numerical scheme for a variably distributed-order time-fractional diffusion equation and its analysis. (English) Zbl 1524.65552
\(\beta\)-robust superconvergent analysis of a finite element method for the distributed order time-fractional diffusion equation. (English) Zbl 1480.65258
Analysis of a hidden memory variably distributed-order space-fractional diffusion equation. (English) Zbl 1514.34019
Reviewer: Ogbu F. Imaga (Ota)
Spectral method for the two-dimensional time distributed-order diffusion-wave equation on a semi-infinite domain. (English) Zbl 1500.65087
Numerical solutions of distributed order fractional differential equations in the time domain using the Müntz-Legendre wavelets approach. (English) Zbl 1534.65206
An improved numerical technique for distributed-order time-fractional diffusion equations. (English) Zbl 07776082
Existence, uniqueness, and approximate solutions for the general nonlinear distributed-order fractional differential equations in a Banach space. (English) Zbl 1494.34026
High-order numerical method for solving a space distributed-order time-fractional diffusion equation. (English) Zbl 1513.35526
Numerical analysis WSGD scheme for one- and two-dimensional distributed order fractional reaction-diffusion equation with collocation method via fractional B-spline. (English) Zbl 07486479
The construction of a new operational matrix of the distributed-order fractional derivative using Chebyshev polynomials and its applications. (English) Zbl 1491.65113
Numerical discretization and fast approximation of a variably distributed-order fractional wave equation. (English) Zbl 07477243
Collocation method based on Chebyshev polynomials for solving distributed order fractional differential equations. (English) Zbl 1513.65264
Solving of partial differential equations with distributed order in time using fractional-order Bernoulli-Legendre functions. (English) Zbl 1513.65544
A computational method based on Legendre wavelets for solving distributed order fractional differential equations. (English) Zbl 1513.65210
Analysis and fast approximation of a steady-state spatially-dependent distributed-order space-fractional diffusion equation. (English) Zbl 1498.65171
Memory dependent anomalous diffusion in comb structure under distributed order time fractional dual-phase-lag model. (English) Zbl 1510.60091
Computational approach based on wavelets for financial mathematical model governed by distributed order fractional differential equation. (English) Zbl 1540.65420
A novel operational vector for solving the general form of distributed order fractional differential equations in the time domain based on the second kind Chebyshev wavelets. (English) Zbl 1482.65129
Computational technique for a class of nonlinear distributed-order fractional boundary value problems with singular coefficients. (English) Zbl 1476.65263
On boundedness and projective synchronization of distributed order neural networks. (English) Zbl 1510.34020
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