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Series Solutions of Time-Fractional Host-Parasitoid Systems

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Abstract

In this paper, Adomian’s decomposition method (ADM) has been used for solving time-fractional host-parasitoid system. The derivatives are understood in the Caputo sense. The reason of using fractional order differential equations (FOD) is that FOD are naturally related to systems with memory which exists in most biological systems. Also they are closely related to fractals which are abundant in biological systems. Numerical example justifies the proposed scheme.

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  1. Department of Mathematics, Faculty of Science, South Valley University, Qena, Egypt

    A. A. M. Arafa

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Arafa, A.A.M. Series Solutions of Time-Fractional Host-Parasitoid Systems. J Stat Phys 145, 1357–1367 (2011). https://doi.org/10.1007/s10955-011-0339-z

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