Fractional Power Series Method For Solving The time-fractional biological population model equation

Amr M. S. Mahdy; G. M. A.Marai

Amr M. S. Mahdy Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
G. M. A.Marai Department of Mathematics, Faculty of Science, Bengazi University, Bengazi, Libya

Keywords: Biological population equation, fractional power series, fractional differential equation, Caputo fractional derivative

Abstract

In this paper, we present approximate analytical solution of the time-fractional biological population equation using the fractional power series method (FPSM). The fractional derivatives are described in the Caputo sense. Some examples are given and the results are compared with the exact solutions.The results reveal that FPSM is very effective simple and efficient technique to handle fractional differential equations.

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