TY  - EJOU
AU  - Shukla, H. S.  
AU  - Tamsir, Mohammad  
AU  - Srivastava, Vineet K.  
AU  - Kumar, Jai  

TI  - Approximate Analytical Solution of Time-fractional order Cauchy-Reaction Diffusion equation
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2014
VL  - 103
IS  - 1
SN  - 1526-1506

AB  - 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.
KW  - Cauchy-reaction diffusion equation
KW  -  Caputo time Fractional derivatives
KW  -  Mittag-Leffler function
KW  -  Fractional reduced differential transform method
KW  -  exact solution

DO  - 10.3970/cmes.2014.103.001