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Solution Of The Local Fractional Generalized Kdv Equation Using Homotopy Analysis Method

Author

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  • HOSSEIN JAFARI

    (Department of Mathematics, University of Mazandaran, Babolsar, Iran†Department of Mathematical Sciences, University of South Africa, UNISA0003, South Africa‡Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 110122, Taiwan§Department of Mathematics and Informatics, Azerbaijan University, Jeyhun Hajibeyli, 71 AZ1007, Baku, Azerbaijan)

  • JYOTI GEETESH PRASAD

    (�Department of Basic Sciences and Humanities, Cummins college of Engineering for Women, Pune 411052, India)

  • PRANAY GOSWAMI

    (��School of Liberal Studies, Dr B. R. Ambedkar University Delhi, Delhi 110006, India)

  • RAVI SHANKER DUBEY

    (*Department of Mathematics, AMITY School of Applied Sciences, AMITY University, Jaipur 302022, Rajasthan, India)

Abstract

In this paper, we solve the n-Generalized KdV equation by local fractional homotopy analysis method (LFHAM). Further, we analyze the approximate solution in the form of non-differentiable generalized functions defined on Cantor sets. Some examples and special cases of the main results are also discussed.

Suggested Citation

  • Hossein Jafari & Jyoti Geetesh Prasad & Pranay Goswami & Ravi Shanker Dubey, 2021. "Solution Of The Local Fractional Generalized Kdv Equation Using Homotopy Analysis Method," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 29(05), pages 1-10, August.
    • Handle: RePEc:wsi:fracta:v:29:y:2021:i:05:n:s0218348x21400144
    DOI: 10.1142/S0218348X21400144
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    Cited by:

    1. Fathy, Mohamed & Abdelgaber, K.M., 2022. "Approximate solutions for the fractional order quadratic Riccati and Bagley-Torvik differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).

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