Communications in Theoretical Physics

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Exact Solutions of Fractional-Order Biological Population Model

A.M.A. El-Sayed,1 S.Z. Rida,2 and A.A.M. Arafa2   


  1. 1Department of Mathematics, Faculty of Science, Alexandria University, Alexandria, Egypt

    2Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt

  • Received: 2009-05-15 Revised: 2009-09-27 Published: 2009-12-15

Abstract: In this paper, the Adomian's decomposition method (ADM) is presented for finding the exact solutions of a more general biological population models. A new solution is constructed in power series. The fractional derivatives are described in the Caputo sense. To illustrate the reliability of the method, some examples are provided.

Key words: biological populations model, fractional Calculus, decomposition method, Mittag-Leffler function

PACS numbers: 

  • 02.30.Jr