ON the solutions of nonlinear fractional partial differential equation arising in Mathematical Biology

Abstract

Fractional partial differential equations as generalizations of classical integer partial differential equations are used to model many real-world problems. The main motivation of this thesis is to propose a novel analytical technique for solving the nonlinear time-fractional biological population model The proposed technique utilizes the Khalouta transform and the reduced differential transform to construct the approximate analytical solution of the proposed model. Three numerical applications are presented to illustrate the efficiency and accuracy of the proposed method