Analytical solution of non-linear fractional diffusion equation

DOI10.1186/s13662-021-03480-zzbMath1494.35154OpenAlexW3177965645MaRDI QIDQ2167074

Obaid Alqahtani

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03480-z

zbMATH Keywords

existence and uniquenessfractional diffusion equationhomotopy perturbation method

Mathematics Subject Classification ID

Other special methods applied to PDEs (35A25) Fractional partial differential equations (35R11)

Cites Work

• Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions
• Chua's circuit model with Atangana-Baleanu derivative with fractional order
• On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
• Notes on the homotopy analysis method: some definitions and theorems
• A review of the decomposition method in applied mathematics
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Analytical solution of space-time fractional Fokker-Planck equation by homotopy perturbation Sumudu transform method
• Modelling fractal waves on shallow water surfaces via local fractional Korteweg-de Vries equation
• A new modification of the Adomian decomposition method for linear and nonlinear operators
• Homotopy perturbation technique
• Solution of fractional oxygen diffusion problem having without singular kernel
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