Modified Fractional Reduced Differential Transform Method for the Solution of Multiterm Time-Fractional Diffusion Equations
Joint Authors
Hashim, Ishak
Abuasad, Salah
Abdul Karim, Samsul Ariffin
Source
Advances in Mathematical Physics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-05-02
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Abuasad, Salah& Hashim, Ishak& Abdul Karim, Samsul Ariffin. 2019. Modified Fractional Reduced Differential Transform Method for the Solution of Multiterm Time-Fractional Diffusion Equations. Advances in Mathematical Physics،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1118972
Modern Language Association (MLA)
Abuasad, Salah…[et al.]. Modified Fractional Reduced Differential Transform Method for the Solution of Multiterm Time-Fractional Diffusion Equations. Advances in Mathematical Physics No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1118972
American Medical Association (AMA)
Abuasad, Salah& Hashim, Ishak& Abdul Karim, Samsul Ariffin. Modified Fractional Reduced Differential Transform Method for the Solution of Multiterm Time-Fractional Diffusion Equations. Advances in Mathematical Physics. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1118972
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1118972