Analytical Solutions of Fractional-Order Diffusion Equations by Natural Transform Decomposition Method

被引：25

作者：

Shah, Rasool ^{[1
]}

Khan, Hassan ^{[1
]}

Mustafa, Saima ^{[2
]}

Kumam, Poom ^{[3
,4
,5
]}

Arif, Muhammad ^{[1
]}

机构：

[1] Abdul Wali Khan Univ, Dept Math, Mardan 23200, Pakistan

[2] Pir Mehr Ali Shah Arid Agr Univ, Dept Math, Rawalpindi 46000, Pakistan

[3] KMUTT, Fac Sci, Ctr Excellence Theoret & Computat Sci TaCS CoE, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

[4] KMUTT, Fac Sci, Dept Math, 126 Pracha Uthit Rd, Bangkok 10140, Thailand

[5] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan

来源：

ENTROPY | 2019年 / 21卷 / 06期

关键词：

Natural transform decomposition method; fractional-order of diffusion equations; Mittag-Leffler function; ENTROPY; OPERATORS;

D O I：

10.3390/e21060557

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the present article, fractional-order diffusion equations are solved using the Natural transform decomposition method. The series form solutions are obtained for fractional-order diffusion equations using the proposed method. Some numerical examples are presented to understand the procedure of the Natural transform decomposition method. The Natural transform decomposition method has shown the least volume of calculations and a high rate of convergence compared to other analytical techniques, the proposed method can also be easily applied to other non-linear problems. Therefore, the Natural transform decomposition method is considered to be one of the best analytical technique, to solve fractional-order linear and non-linear partial deferential equations, particularly fractional-order diffusion equation.

引用

页数：13

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