Analytical Solution of the Local Fractional KdV Equation-Reference-Cited by-同舟云学术

Analytical Solution of the Local Fractional KdV Equation

Published:2023-02-09 Issue:4 Volume:11 Page:882
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Albalawi Kholoud Saad¹^ORCID,Alazman Ibtehal¹^ORCID,Prasad Jyoti Geetesh²³,Goswami Pranay⁴

Affiliation:

1. Department of Mathematics and Statistics, Imam Mohammad Ibn Saud Islamic University, Riyadh 11566, Saudi Arabia

2. MKSSS’s Cummins College of Engineering for Women, Pune 411052, India

3. Department of Mathematics, AMITY School of Applied Sciences, AMITY University Rajasthan, Jaipur 302002, India

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

Abstract

This research work is dedicated to solving the n-generalized Korteweg–de Vries (KdV) equation in a fractional sense. The method is a combination of the Sumudu transform and the Adomian decomposition method. This method has significant advantages for solving differential equations that are both linear and nonlinear. It is easy to find the solutions to fractional-order PDEs with less computing labor.

Funder

Deanship of Scientific Research of Imam Mohammad Ibn Saud Islamic University

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/4/882/pdf

Reference39 articles.

1. A reliable algorithm of homotopy analysis method for solving nonlinear fractional differential equations;Odibat;Appl. Math. Model.,2010

2. Solution of nonlinear fractional differential equations using homotopy analysis method;Ganjiani;Appl. Math. Model.,2010

3. Prodanov, D. (2018). Fractional velocity as a tool for the study of non-linear problems. Fractal Fract., 2.

4. An efficient technique for solving linear and nonlinear fractional partial differential equations;Maitama;Math. Eng. Sci. Aerosp.,2017

5. Comparing the Atangana–Baleanu and Caputo–Fabrizio derivative with fractional order: Allen Cahnmodel;Algahtani;Chaos Solitons Fractals,2016

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Unification of Adomian decomposition method and ZZ transformation for exploring the dynamics of fractional Kersten-Krasil'shchik coupled KdV-mKdV systems;AIMS Mathematics;2024