A highly accurate method for multi-term time fractional diffusion equation in two dimensions with \(\psi\)-Caputo fractional derivative

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Functions of one variable (26Axx) Miscellaneous topics in partial differential equations (35Rxx)

Cites Work

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Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain
A multi-term fractional diffusion equation for oxygen delivery through a capillary to tissues
A Caputo fractional derivative of a function with respect to another function
Lucas polynomials based spectral methods for solving the fractional order electrohydrodynamics flow model
Unified predictor-corrector method for fractional differential equations with general kernel functions
A fast Fourier spectral exponential time-differencing method for solving the time-fractional mobile-immobile advection-dispersion equation
On the \(\psi\)-Hilfer fractional derivative
A review of definitions of fractional derivatives and other operators
Numerical methods for solving the multi-term time-fractional wave-diffusion equation
Chebyshev cardinal polynomials for delay distributed-order fractional fourth-order sub-diffusion equation
Generalized viscoelastic models: their fractional equations with solutions
The Fractional Derivative of a Composite Function
Finite-approximate controllability of impulsive \(\psi\)-Caputo fractional evolution equations with nonlocal conditions
A <scp>kernel‐based pseudo‐spectral</scp> method for <scp>multi‐term</scp> and distributed order <scp>time‐fractional</scp> diffusion equations
A kernel‐based method for solving the time‐fractional diffusion equation
An efficient numerical method for the distributed order time-fractional diffusion equation with error analysis and stability
Nonuniform difference schemes for multi-term and distributed-order fractional parabolic equations with fractional Laplacian
A new wavelet method for fractional integro-differential equations with \(\psi\)-Caputo fractional derivative
Fractional viscoelastic models with Caputo generalized fractional derivative
On Laplace transforms with respect to functions and their applications to fractional differential equations
A high-order unconditionally stable numerical method for a class of multi-term time-fractional diffusion equation arising in the solute transport models
A numerical investigation with energy-preservation for nonlinear space-fractional Klein-Gordon-Schrödinger system
A numerical solution of fractional reaction-convection-diffusion for modeling PEM fuel cells based on a meshless approach
A discrete spectral method for time fractional fourth-order 2D diffusion-wave equation involving \(\psi\)-Caputo fractional derivative

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