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B. Mandelbrot, “Some Noises with 1/f Spectrum, a Bridge between Direct Current and White Noise,” IEEE Transactions on Information Theory, Vol. 13, No. 2, 1967, pp. 289-298. doi:10.1109/TIT.1967.1053992

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• 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.