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

Salah Abuasad, Ishak Hashim, Samsul Ariffin Abdul Karim

Research output: Contribution to journalArticle

1 Citation (Scopus)

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.

Original languageEnglish
Article number5703916
JournalAdvances in Mathematical Physics
Volume2019
DOIs
Publication statusPublished - 1 Jan 2019

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Differential Transform Method
Fractional Diffusion Equation
Fractional
Mathematical transformations
Approximate Solution
Series Solution
Fractional Order
Linear Time
Bounded Domain
Initial conditions
Exact Solution
Coefficient
coefficients
Term

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Applied Mathematics

Cite this

Modified Fractional Reduced Differential Transform Method for the Solution of Multiterm Time-Fractional Diffusion Equations. / Abuasad, Salah; Hashim, Ishak; Abdul Karim, Samsul Ariffin.

In: Advances in Mathematical Physics, Vol. 2019, 5703916, 01.01.2019.

Research output: Contribution to journalArticle

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