Abstract

In this paper, we apply an efficient computational technique based on the coupling of the Sumudu transform method and the iterative method to solve the generalized time-fractional biological population model within the Caputo fractional derivative. This method is termed as Sumudu transform iterative method (STIM). The series form approximate analytical solutions are obtained in a closed form, having components of the converging behavior towards the exact solution. Furthermore, the outcomes of this investigation are illustrated graphically using the mathematical software Maple, and the solution graphs demonstrate that the approximate solution is closely related to the exact solution.

Keywords and Phrases

Sumudu transform, Generalized time-fractional biological population model, Iterative method, Caputo fractional derivative, Mittag-Leffler function, Fractional differential equations.

A.M.S. subject classification

26A33, 33E12, 35R11, 44A20.

.....