SOLUTION OF THE LOCAL FRACTIONAL GENERALIZED KDV EQUATION USING HOMOTOPY ANALYSIS METHOD-Reference-Cited by-同舟云学术

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

Published:2021-03-25 Issue:05 Volume:29 Page:2140014
ISSN:0218-348X
Container-title:Fractals
language:en
Short-container-title:Fractals

Author:

JAFARI HOSSEIN¹²³⁴,PRASAD JYOTI GEETESH⁵,GOSWAMI PRANAY⁶,DUBEY RAVI SHANKER⁷

Affiliation:

1. Department of Mathematics, University of Mazandaran, Babolsar, Iran

2. Department of Mathematical Sciences, University of South Africa, UNISA0003, South Africa

3. Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 110122, Taiwan

4. Department of Mathematics and Informatics, Azerbaijan University, Jeyhun Hajibeyli, 71 AZ1007, Baku, Azerbaijan

5. Department of Basic Sciences and Humanities, Cummins college of Engineering for Women, Pune 411052, India

6. School of Liberal Studies, Dr B. R. Ambedkar University Delhi, Delhi 110006, India

7. Department of Mathematics, AMITY School of Applied Sciences, AMITY University, Jaipur 302022, Rajasthan, India

Abstract

In this paper, we solve the [Formula: see text]-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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218348X21400144

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