SOLUTION OF THE LOCAL FRACTIONAL GENERALIZED KDV EQUATION USING HOMOTOPY ANALYSIS METHOD

Hossein Jafari, Jyoti Geetesh Prasad, Pranay Goswami and Ravi Shanker Dubey
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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

FRACTALS (fractals), 2021, vol. 29, issue 05, 1-10

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.

Keywords: Local Fractional Derivative; Homotopy Analysis Method; KdV Equation (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21400144

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