Numerical comparison of FNVIM and FNHPM for solving a certain type of nonlinear Caputo time-fractional partial differential equations

DOI10.2478/amsil-2020-0008zbMath1462.35442OpenAlexW3042519929MaRDI QIDQ2024142

Abdelouahab Kadem, Ali Khalouta

Publication date: 3 May 2021

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/amsil-2020-0008

zbMATH Keywords

Caputo fractional derivativevariational iteration methodhomotopy perturbation methodnatural transformnonlinear Caputo time-fractional partial differential equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Nonlinear higher-order PDEs (35G20) Theoretical approximation in context of PDEs (35A35) Solutions to PDEs in closed form (35C05) Fractional partial differential equations (35R11)

Related Items (1)

A new fractional integral associated with the Caputo-Fabrizio fractional derivative

Cites Work

• Weak solutions of the time-fractional Navier-Stokes equations and optimal control
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On the optimal selection of the linear operator and the initial approximation in the application of the homotopy analysis method to nonlinear fractional differential equations
• Fractional natural decomposition method for solving a certain class of nonlinear time-fractional wave-like equations with variable coefficients
• An efficient method for solving nonlinear time-fractional wave-like equations with variable coefficients
• Analytical approach to fractional partial differential equations in fluid mechanics by means of the homotopy perturbation method
• SOLUTION OF NON-LINEAR FRACTIONAL DIFFERENTIAL EQUATIONS BY VARIATIONAL ITERATION METHOD AND APPLICATIONS
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