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A New Coupled Fractional Reduced Differential Transform Method for the Numerical Solution of Fractional Predator-Prey System

S. Saha Ray1
National Institute of Technology, Department of Mathematics, Rourkela-769008, India. E-mail: santanusaharay@yahoo.com

Computer Modeling in Engineering & Sciences 2015, 105(3), 231-249. https://doi.org/10.3970/cmes.2015.105.231

Abstract

In the present article, a relatively very new technique viz. Coupled Fractional Reduced Differential Transform, has been executed to attain the approximate numerical solution of the predator-prey dynamical system. The fractional derivatives are defined in the Caputo sense. Utilizing the present method we can solve many linear and nonlinear coupled fractional differential equations. The results thus obtained are compared with those of other available methods. Numerical solutions are presented graphically to show the simplicity and authenticity of the method.

Keywords

Coupled Fractional Reduced Differential Transform, Predator-Prey System, Caputo fractional derivative, Riemann-Liouville fractional derivative.

Cite This Article

Ray, S. S. (2015). A New Coupled Fractional Reduced Differential Transform Method for the Numerical Solution of Fractional Predator-Prey System. CMES-Computer Modeling in Engineering & Sciences, 105(3), 231–249.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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