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

被引：24

作者：

Abuasad, Salah ^{[1
]}

Hashim, Ishak ^{[2
]}

Karim, Samsul Ariffin Abdul ^{[3
,4
]}

机构：

[1] King Faisal Univ, Preparatory Year Deanship, Al Hufuf 31982, Al Hasa, Saudi Arabia

[2] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Ukm Bangi 43600, Selangor, Malaysia

[3] Univ Teknol PETRONAS, Fundamental & Appl Sci Dept, Seri Iskandar 32610, Perak Dr, Malaysia

[4] Univ Teknol PETRONAS, Ctr Smart Grid Energy Res CSMER, Inst Autonomous Syst, Seri Iskandar 32610, Perak Dr, Malaysia

来源：

ADVANCES IN MATHEMATICAL PHYSICS | 2019年 / 2019卷

关键词：

NUMERICAL-METHODS; ORDER; SYSTEMS;

D O I：

10.1155/2019/5703916

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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.

引用

页数：14

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