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S. Z. Rida, A. M. A. El-Sayed and A. A. M. Arafa, “Effect of Bacterial Memory Dependent Growth by Using Fractional Derivatives Reaction-Diffusion Chemotactic Model,” Journal of Statistical Physics, Vol. 140, No. 4, 2010, pp. 797-811. doi:10.1007/s10955-010-0007-8

has been cited by the following article:

• 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.