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

Jiqiang Zhang, Nematollah Kadkhoda, Mojtaba Baymani and Hossein Jafari
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Jiqiang Zhang: Department of Basic Teaching, Anhui Sanlian University, Hefei 230601, P. R. China
Nematollah Kadkhoda: ��Department of Mathematics, Faculty of Basic Sciences, Bozorgmehr University of Qaenat, Qaen, Iran‡Department of Mathematics, Quchan University of Technology, Quchan, Iran
Mojtaba Baymani: ��Department of Mathematics, Quchan University of Technology, Quchan, Iran
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

FRACTALS (fractals), 2023, vol. 31, issue 04, 1-16

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: Exact Solution; Conformable Fractional Derivative; Fractional Differential Equations; Time-fractional Radhakrishnan–Kundu–Lakshmanan Equation (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23400674

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