• EXACT SOLUTION OF GENERALIZED TIME-FRACTIONAL BIOLOGICAL POPULATION MODEL BY MEANS OF THE ITERATIVE LAPLACE TRANSFORM METHOD

Abstract

In the present paper, generalized time-fractional biological population model is solved by the use of iterative Laplace transform method (ILTM). The fractional derivatives are described in the Caputo sense and the solutions obtained in closed form, in terms of Mittag-Leffler functions. An illustrative numerical case study is presented for the proposed method to show the preciseness and effectiveness of the method.