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Solution of Space‐Time Fractional Differential Equations Using Aboodh Transform Iterative Method

Author

Listed:
  • Michael A. Awuya
  • Gbenga O. Ojo
  • Nazim I. Mahmudov

Abstract

A relatively new and efficient approach based on a new iterative method and the Aboodh transform called the Aboodh transform iterative method is proposed to solve space‐time fractional differential equations, the fractional order is considered in the Caputo sense. This method is a combination of the Aboodh transform and the new iterative method and gives the solution in series form with easily computable components. The nonlinear term is easily handled by the new iterative method, to affirm the simplicity and performance of the proposed method, five examples were considered, and the solution plots were presented to show the effect of the fractional order. The outcome reveals that the approach is accurate and easy to implement.

Suggested Citation

  • Michael A. Awuya & Gbenga O. Ojo & Nazim I. Mahmudov, 2022. "Solution of Space‐Time Fractional Differential Equations Using Aboodh Transform Iterative Method," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    • Handle: RePEc:wly:jjmath:v:2022:y:2022:i:1:n:4861588
    DOI: 10.1155/2022/4861588
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    References listed on IDEAS

    as
    1. Limei Yan, 2013. "Numerical Solutions of Fractional Fokker-Planck Equations Using Iterative Laplace Transform Method," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, December.
    2. Djennadi, Smina & Shawagfeh, Nabil & Abu Arqub, Omar, 2021. "A fractional Tikhonov regularization method for an inverse backward and source problems in the time-space fractional diffusion equations," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    3. Limei Yan, 2013. "Numerical Solutions of Fractional Fokker‐Planck Equations Using Iterative Laplace Transform Method," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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