ANALYTICAL SOLUTION OF GENERALIZED DIFFUSION-LIKE EQUATION OF FRACTIONAL ORDER

DOI10.30546/2409-4994.48.2022.168177zbMath1516.35476OpenAlexW4309929537MaRDI QIDQ6113612

Juan E. Nápoles Valdés, Rachana Shokhanda, Pranay Goswami

Publication date: 11 July 2023

Published in: Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30546/2409-4994.48.2022.168177

zbMATH Keywords

diffusion equationfractional calculusexistence and uniquenessfractional derivativehomotopy perturbation method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Fractional partial differential equations (35R11)

Cites Work

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• Homotopy perturbation method with three expansions
• Homotopy perturbation method for Fangzhu oscillator
• Exact solutions of nonlinear diffusion equations by variational iteration method
• Exact solutions to nonlinear diffusion equations obtained by the decomposition method
• Homotopy perturbation technique
• An approximate analytical solution of the fractional multi-dimensional Burgers equation by the homotopy perturbation method
• Solution of generalized fractional Burgers equation with a nonlinear term
• Improvement of the homotopy perturbation method for solving nonlinear diffusion equations
• ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS OF FRACTIONAL ORDER PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS
• Quarter-sweep iterative alternating decomposition explicit algorithm applied to diffusion equations
• A new approach for solving nonlinear Volterra integro-differential equations with Mittag--Leffler kernel
• The reducing rank method to solve third‐order Duffing equation with the homotopy perturbation

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