• Dr R N Prajapati
• Dr Shailja Singh

In this paper, we execute a relatively analytical technique, the homotopy perturbation method (HPM), for illuminating fractional Biological population model. The fractional derivatives are described in Caputo derivatives. The outcome reveals that the proposed method is very effective and simple for obtaining analytic solutions of nonlinear fractional partial differential equations. A few models are given to show capability of the method for solving the fractional nonlinear partial differential equation

Homotopy perturbation method (HPM), Caputo derivatives, Biological population Model, Mittag Leffler function.

"TIME FRACTIONAL BIOLOGICAL POPULATION MODEL BASED ON HPM: AN ANALYTICAL SOLUTION", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.519-524, June-2019, Available :http://www.jetir.org/papers/JETIR1906E28.pdf

"TIME FRACTIONAL BIOLOGICAL POPULATION MODEL BASED ON HPM: AN ANALYTICAL SOLUTION", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp519-524, June-2019, Available at : http://www.jetir.org/papers/JETIR1906E28.pdf