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

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  • 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, John Wiley & Sons, vol. 2019(1).
    • Handle: RePEc:wly:jnlamp:v:2019:y:2019:i:1:n:5703916
    DOI: 10.1155/2019/5703916
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