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5 papers · 1 filter
Fractional Operators in the Matrix Variate Case
A. M. Mathai, H. J. Haubold
Fractional integral operators connected with real-valued scalar functions of matrix argument are applied in problems of mathematics, statistics and natural sciences. In this articl…
Distributed order reaction-diffusion systems associated with Caputo derivatives
R. K. Saxena, A. M. Mathai, H. J. Haubold
This paper deals with the investigation of the solution of an unified fractional reaction-diffusion equation of distributed order associated with the Caputo derivatives as the time…
Astrophysical Thermonuclear Functions for Boltzmann-Gibbs Statistics and Tsallis Statistics
R. K. Saxena, A. M. Mathai, H. J. Haubold
We present an analytic proof of the integrals for astrophysical thermonuclear functions which are derived on the basis of Boltzmann-Gibbs statistical mechanics. Among the four diff…
Unified Fractional Kinetic Equation and a Fractional Diffusion Equation
R. K. Saxena, A. M. Mathai, H. J. Haubold
In earlier papers Saxena et al. (2002, 2003) derived the solutions of a number of fractional kinetic equations in terms of generalized Mittag-Leffler functions which extended the w…
On Generalized Fractional Kinetic Equations
R. K. Saxena, A. M. Mathai, H. J. Haubold
In a recent paper, Saxena et al. [1] developed the solutions of three generalized fractional kinetic equations in terms of Mittag-Leffler functions. The object of the present paper…