Hilfer fractional advection-diffusion equations with power-law initial condition; a numerical study using variational iteration method

DOI10.1016/j.camwa.2014.08.021zbMath1367.35194arXiv1406.2024OpenAlexW1975829422MaRDI QIDQ2363826

Nadeem A. Malik, Iftikhar Ali

Publication date: 26 July 2017

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1406.2024

zbMATH Keywords

Mittag-Leffler functionnumerical analysisvariational iteration methodconvergence of solutionanalytical approximate solutionHilfer advection-diffusion equation

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Fractional partial differential equations (35R11)

Related Items (7)

Generalized iterative method for the solution of linear and nonlinear fractional differential equations with composite fractional derivative operator ⋮ A meshless technique based on the moving least squares shape functions for nonlinear fractal-fractional advection-diffusion equation ⋮ Existence results and Ulam-Hyers stability for a fully coupled system of nonlinear sequential Hilfer fractional differential equations and integro-multistrip-multipoint boundary conditions ⋮ Solutions of Time-Fractional Diffusion Equation with Reflecting and Absorbing Boundary Conditions Using Matlab ⋮ Uniqueness of solutions for a \(\psi\)-Hilfer fractional integral boundary value problem with the \(p\)-Laplacian operator ⋮ Generalized distributed order diffusion equations with composite time fractional derivative ⋮ Distributed-order wave equations with composite time fractional derivative

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