Homotopy analysis method for higher-order fractional integro-differential equations

DOI10.1016/j.camwa.2011.08.032zbMath1232.65120OpenAlexW2083796394MaRDI QIDQ662239

Bo Tang, Xindong Zhang, Yin-Nian He

Publication date: 21 February 2012

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.08.032

zbMATH Keywords

series solutionhomotopy analysis methodfractional integro-differential equation

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Numerical methods for ordinary differential equations (65L99) Fractional ordinary differential equations (34A08)

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Cites Work

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• Homotopy analysis method for solving a class of fractional partial differential equations
• Variational iteration method and homotopy perturbation method for fourth-order fractional integro-differential equations
• Numerical methods for fourth-order fractional integro-differential equations
• The application of homotopy analysis method to nonlinear equations arising in heat transfer
• A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations
• A new branch of solutions of boundary-layer flows over an impermeable stretched plate
• Homotopy analysis method for solving multi-term linear and nonlinear diffusion-wave equations of fractional order
• On the homotopy analysis method for nonlinear problems.
• On analytic solution for thin film flow of a fourth grade fluid down a vertical cylinder
• The application of homotopy analysis method to solve a generalized Hirota-Satsuma coupled KdV equation
• Solving solitary waves with discontinuity by means of the homotopy analysis method
• On nonlinear flows with slip boundary condition

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