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

H. S. Shukla1, Mohammad Tamsir1, Vineet K. Srivastava2, Jai Kumar3

Department of Mathematics & Statistics, DDU Gorakhpur University, Gorakhpur-273009, India.
ISRO Telemetry, Tracking and Command Network (ISTRAC), Bangalore-560058, India.
ISRO Satellite Center (ISAC), Bangalore-560017, India.

Computer Modeling in Engineering & Sciences 2014, 103(1), 1-17. https://doi.org/10.3970/cmes.2014.103.001

## Abstract

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.

## Keywords

APA Style
Shukla, H.S., Tamsir, M., Srivastava, V.K., Kumar, J. (2014). Approximate analytical solution of time-fractional order cauchy-reaction diffusion equation. Computer Modeling in Engineering & Sciences, 103(1), 1-17. https://doi.org/10.3970/cmes.2014.103.001
Vancouver Style
Shukla HS, Tamsir M, Srivastava VK, Kumar J. Approximate analytical solution of time-fractional order cauchy-reaction diffusion equation. Comput Model Eng Sci. 2014;103(1):1-17 https://doi.org/10.3970/cmes.2014.103.001
IEEE Style
H.S. Shukla, M. Tamsir, V.K. Srivastava, and J. Kumar "Approximate Analytical Solution of Time-fractional order Cauchy-Reaction Diffusion equation," Comput. Model. Eng. Sci., vol. 103, no. 1, pp. 1-17. 2014. https://doi.org/10.3970/cmes.2014.103.001

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