TITLE:
On Solutions of Generalized Bacterial Chemotaxis Model in a Semi-Solid Medium
AUTHORS:
Ahmed M. A. El-Sayed, Saad Z. Rida, Anas A. M. Arafa
KEYWORDS:
Decomposition Method, Bacterial Chemotaxis, Semi-Solid Medium, Fractional Calculus
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.12,
December
27,
2011
ABSTRACT: 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.