Applications of fractional reduced differential transform method for solving the generalized fractional-order FitzHugh-Nagumo equation

DOI10.1007/S40819-021-01130-2zbMath1486.35444OpenAlexW3197399395WikidataQ115372062 ScholiaQ115372062MaRDI QIDQ2114640

Hardik S. Patel, Trushit Patel

Publication date: 15 March 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-021-01130-2

zbMATH Keywords

FitzHugh-Nagumo equationCaputo sensefractional reduced differential transform method (FRDTM)

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)

Cites Work

• On soliton solutions for the Fitzhugh-Nagumo equation with time-dependent coefficients
• Multidimensional nonlinear diffusion arising in population genetics
• A reliable method for the space-time fractional Burgers and time-fractional Cahn-Allen equations via the FRDTM
• An analytic study of Fisher's equation by using Adomian decomposition method
• Approximate solution to the time-space fractional cubic nonlinear Schrödinger equation
• Pattern formation in the FitzHugh-Nagumo model
• Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses

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