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Analytical Solutions For Time-Fractional Radhakrishnan–Kundu–Lakshmanan Equation

Author

Listed:
  • 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)

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.

Suggested Citation

  • Jiqiang Zhang & Nematollah Kadkhoda & Mojtaba Baymani & Hossein Jafari, 2023. "Analytical Solutions For Time-Fractional Radhakrishnan–Kundu–Lakshmanan Equation," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(04), pages 1-16.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:04:n:s0218348x23400674
    DOI: 10.1142/S0218348X23400674
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