Numerical simulation of the variable order fractional integro-differential equation via Chebyshev polynomials

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Uses Software

Cites Work

Hilfer-Prabhakar derivatives and some applications
On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics
Fractional spectral collocation methods for linear and nonlinear variable order FPDEs
Convergence analysis of modified iterative methods to solve linear systems
A finite difference technique for solving variable-order fractional integro-differential equations
A study on the convergence of variational iteration method
Fractional calculus for scientists and engineers.
Generalized differential transform method for solving a space- and time-fractional diffusion-wave equation
Adomian decomposition method for solution of nonlinear differential algebraic equations
Numerical algorithm to solve a class of variable order fractional integral-differential equation based on Chebyshev polynomials
Stability analysis of distributed-order Hilfer-Prabhakar systems based on inertia theory
The Lorenzo-Hartley's function for fractional calculus and its applications pertaining to fractional order modelling of anomalous relaxation in dielectrics
On spectral methods for solving variable-order fractional integro-differential equations
A practical guide to Prabhakar fractional calculus
Grünwald-Letnikov operators for fractional relaxation in Havriliak-Negami models
Prabhakar-like fractional viscoelasticity
The Prabhakar or three parameter Mittag-Leffler function: theory and application
Convergence of the Adomian method applied to a class of nonlinear integral equations
Analytic solution of generalized space time fractional reaction diffusion equation
Stability Analysis of Distributed Order Hilfer-Prabhakar Differential Equations
A Collocation Method for Solving Fractional Order Linear System
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