Mathematics and Statistics Vol. 1(2), pp. 59 - 63
DOI: 10.13189/ms.2013.010208
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On a Fractional Master Equation and a Fractional Diffusion Equation

R. K. Saxena^*
Department of Mathematics and Statistics, Jai Narain, Vyas University, Jodhpur-342004, India

ABSTRACT

In this paper , we derive the solutions of fractional master equation defined by (2.1) and fractional diffusion equation defined by (3.3). The method followed in deriving the solution is that of Laplace and Fourier transforms. The solutions are obtained in a neat and compact forms in terms of the generalized Mittag –Leffler function and Fox’ H-function. The results established are of general character and include some known results, as special cases.

KEYWORDS
Fractional Master Equation, Laplace Transform, Fourier Transform, Generalized Mittag–Leffler Function , Fox’s H-Function And Fourier Space

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] R. K. Saxena , "On a Fractional Master Equation and a Fractional Diffusion Equation," Mathematics and Statistics, Vol. 1, No. 2, pp. 59 - 63, 2013. DOI: 10.13189/ms.2013.010208.

(b). APA Format:
R. K. Saxena (2013). On a Fractional Master Equation and a Fractional Diffusion Equation. Mathematics and Statistics, 1(2), 59 - 63. DOI: 10.13189/ms.2013.010208.