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Modified Fractional Reduced Differential Transform Method for the Solution of Multiterm Time-Fractional Diffusion Equations

Author

Listed:
  • Salah Abuasad
  • Ishak Hashim
  • Samsul Ariffin Abdul Karim

Abstract

In this study, we introduce a new modification of fractional reduced differential transform method (m-FRDTM) to find exact and approximate solutions for nonhomogeneous linear multiterm time-fractional diffusion equations (MT-TFDEs) of constant coefficients in a bounded domain with suitable initial conditions. Different applications in two and three fractional order terms are given to illustrate our new modification. The approximate solutions are given in the form of series solutions. The results show that the m-FRDTM for MT-TFDEs is a powerful method and can be generalized to other types of multiterm time-fractional equations.

Suggested Citation

  • Salah Abuasad & Ishak Hashim & Samsul Ariffin Abdul Karim, 2019. "Modified Fractional Reduced Differential Transform Method for the Solution of Multiterm Time-Fractional Diffusion Equations," Advances in Mathematical Physics, Hindawi, vol. 2019, pages 1-14, May.
    • Handle: RePEc:hin:jnlamp:5703916
    DOI: 10.1155/2019/5703916
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    Cited by:

    1. Günerhan, Hatıra & Dutta, Hemen & Dokuyucu, Mustafa Ali & Adel, Waleed, 2020. "Analysis of a fractional HIV model with Caputo and constant proportional Caputo operators," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    2. Mohamed M. Mousa & Fahad Alsharari, 2021. "Convergence and Error Estimation of a New Formulation of Homotopy Perturbation Method for Classes of Nonlinear Integral/Integro-Differential Equations," Mathematics, MDPI, vol. 9(18), pages 1-14, September.
    3. Safyan Mukhtar & Salah Abuasad & Ishak Hashim & Samsul Ariffin Abdul Karim, 2020. "Effective Method for Solving Different Types of Nonlinear Fractional Burgers’ Equations," Mathematics, MDPI, vol. 8(5), pages 1-19, May.
    4. Alberto Antonini & Valentina Anna Lia Salomoni, 2023. "Modelling Fractional Advection–Diffusion Processes via the Adomian Decomposition," Mathematics, MDPI, vol. 11(12), pages 1-30, June.

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