Approximate Analytical Solution of Time-fractional order Cauchy-Reaction Diffusion equation

被引：0

作者：

Shukla, H. S. ^{[1
]}

Tamsir, Mohammad ^{[1
]}

Srivastava, Vineet K. ^{[2
]}

Kumar, Jai ^{[3
]}

机构：

[1] DDU Gorakhpur Univ, Dept Math & Stat, Gorakhpur 273009, Uttar Pradesh, India

[2] ISRO Telemetry Tracking & Command Network ISTRAC, Bangalore 560058, Karnataka, India

[3] ISRO Satellite Ctr ISAC, Bangalore 560017, Karnataka, India

来源：

CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES | 2014年 / 103卷 / 01期

关键词：

Cauchy-reaction diffusion equation; Caputo time Fractional derivatives; Mittag-Leffler function; Fractional reduced differential transform method; exact solution; NUMERICAL-SOLUTION; DECOMPOSITION METHOD;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The objective of this article is to carry out an approximate analytical solution of the time fractional order Cauchy-reaction diffusion equation by using a semi analytical method referred as the fractional-order reduced differential transform method (FRDTM). The fractional derivative is illustrated in the Caputo sense. The FRDTM is very efficient and effective powerful mathematical tool for solving Wide range of real world physical problems by providing an exact or a closed approximate solution of any differential equation arising in engineering and allied sciences. Four test numerical examples are provided to validate and illustrate the efficiency of FRDTM.

引用

页码：1 / 17

页数：17

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