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Conformable Double Laplace–Sumudu Transform Decomposition Method for Fractional Partial Differential Equations

Author

Listed:
  • Jia Honggang
  • Zhao Yanmin

Abstract

In this work, we proposed a new method called conformable fractional double Laplace–Sumudu transform decomposition method (CFDLSTDM) to solve fractional partial differential equations (FPDEs).This method is a combination of the Laplace–Sumudu transform method and the Adomian decomposition method. Besides, we presented some excellent properties and results of conformable double Laplace–Sumudu transform (CDLST). Illustrative examples results are given to show that the CFDLSTDM is an effective and accurate approach for fractional partial differential equations.

Suggested Citation

  • Jia Honggang & Zhao Yanmin, 2022. "Conformable Double Laplace–Sumudu Transform Decomposition Method for Fractional Partial Differential Equations," Complexity, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:complx:v:2022:y:2022:i:1:n:7602254
    DOI: 10.1155/2022/7602254
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    References listed on IDEAS

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    1. Hashemi, M.S., 2018. "Invariant subspaces admitted by fractional differential equations with conformable derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 107(C), pages 161-169.
    2. Shams A. Ahmed & Tarig M. Elzaki & Abdelgabar Adam Hassan, 2020. "Solution of Integral Differential Equations by New Double Integral Transform (Laplace–Sumudu Transform)," Abstract and Applied Analysis, Hindawi, vol. 2020, pages 1-7, October.
    3. Shailesh A. Bhanotar & Mohammed K. A. Kaabar, 2021. "Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method," International Journal of Differential Equations, Hindawi, vol. 2021, pages 1-18, August.
    4. Shams A. Ahmed & Tarig M. Elzaki & Abdelgabar Adam Hassan, 2020. "Solution of Integral Differential Equations by New Double Integral Transform (Laplace–Sumudu Transform)," Abstract and Applied Analysis, John Wiley & Sons, vol. 2020(1).
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