On the solutions of fractional reaction-diffusion equations

作者: Sushila Rathore , Jagdev Singh , Devendra Kumar

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摘要: In this paper, we obtain the solution of a fractional reaction-diffusion equation associated with generalized Riemann-Liouville derivative as time and Riesz-Feller space-derivative. The results are derived by application Laplace Fourier transforms in compact elegant form terms Mittag-Leffler function H-function. obtained here general nature include investigated earlier many authors.

参考文章(23)
Bohdan Datsko, Vasyl Gafiychuk, Vitaliy Meleshko, Mathematical modeling of pattern formation in sub- and supperdiffusive reaction-diffusion systems arXiv: Adaptation and Self-Organizing Systems. ,(2006)
Francesco Mainardi, Rudolf Gorenflo, Fractional Calculus: Integral and Differential Equations of Fractional Order arXiv: Mathematical Physics. ,(2008)
Oleg Igorevich Marichev, Stefan G Samko, Anatoly A Kilbas, Fractional Integrals and Derivatives: Theory and Applications ,(1993)
Arakaparampil M Mathai, Ram Kishore Saxena, Hans J Haubold, The H-Function : Theory and Applications ,(2009)
V. Gafiychuk, B. Datsko, V. Meleshko, Nonlinear oscillations and stability domains in fractional reaction-diffusion systems arXiv: Pattern Formation and Solitons. ,(2007)
H.J. Haubold, A.M. Mathai, R.K. Saxena, Further solutions of fractional reaction-diffusion equations in terms of the H-function Journal of Computational and Applied Mathematics. ,vol. 235, pp. 1311- 1316 ,(2011) , 10.1016/J.CAM.2010.08.016