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A. M. A. El-Sayed, S. Z. Rida and A. A. M. Arafa, “Exact Solutions of the Fractional-Order Biological Population Model,” Communication in Theoretical Physics, Vol. 52, No.6, 2009, pp. 992-996. doi:10.1088/0253-6102/52/6/04

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.