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ANALYTICAL SOLUTIONS FOR TIME-FRACTIONAL RADHAKRISHNAN–KUNDU–LAKSHMANAN EQUATION

JIQIANG ZHANG

Department of Basic Teaching, Anhui Sanlian University, Hefei 230601, P. R. China

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NEMATOLLAH KADKHODA

Department of Mathematics, Faculty of Basic Sciences, Bozorgmehr University of Qaenat, Qaen, Iran

Department of Mathematics, Quchan University of Technology, Quchan, Iran

E-mail Address: kadkhoda@buqaen.ac.ir

Corresponding authors.

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MOJTABA BAYMANI

Department of Mathematics, Quchan University of Technology, Quchan, Iran

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, and

HOSSEIN JAFARI

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

E-mail Address: jafari.usern@gmail.com

Corresponding authors.

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https://doi.org/10.1142/S0218348X23400674Cited by:4 (Source: Crossref)

This article is part of the issue:

Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives
Guest Editors: H. Jafari, Z. Hammouch and I. K. Argyros

Abstract

In this paper, two algebraic methods are applied for solving a class of conformable fractional partial differential equations (FPDEs). We use these methods for the time-fractional Radhakrishnan–Kundu–Lakshmanan equation. With these methods, further solutions can be obtained compared with other approaches and techniques. The exact particular solutions include the exponential solution, trigonometric function solution, rational solution and hyperbolic function solution. These methods are very effective to obtain exact solutions of many fractional differential equations.

Keywords:

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Vol. 31, No. 04

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History

Received 3 March 2022

Accepted 3 November 2022

Published: April 29, 2023

Information

This is an Open Access article in the “Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives”, edited by Hossein Jafari (University of South Africa, South Africa), Zakia Hammouch (China Medical University Taichung, Taiwan & Moulay Ismail University, Meknes, Morocco) & Ioannis K. Argyros (Cameron University, USA) published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 (CC BY-NC-ND) License which permits use, distribution and reproduction, provided that the original work is properly cited, the use is non-commercial and no modifications or adaptations are made.

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ANALYTICAL SOLUTIONS FOR TIME-FRACTIONAL RADHAKRISHNAN–KUNDU–LAKSHMANAN EQUATION

Abstract

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