Author(s)

Ahmed M. A. El-Sayed, Saad Z. Rida, Anas A. M. Arafa

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In this paper, the Adomian’s decomposition method has been developed to yield approximate solution of bacterial chemotaxis model of fractional order in a semi-solid medium. The fractional derivatives are described in the Caputo sense. The method introduces a promising tool for solving many linear and nonlinear fractional differential equations.

Decomposition Method, Bacterial Chemotaxis, Semi-Solid Medium, Fractional Calculus

A. El-Sayed, S. Rida and A. Arafa, "On Solutions of Generalized Bacterial Chemotaxis Model in a Semi-Solid Medium," Applied Mathematics, Vol. 2 No. 12, 2011, pp. 1515-1521. doi: 10.4236/am.2011.212214.