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20042015
most citedUnified Fractional Kinetic Equation and a Fractional Diffusion Equation

88 citations · 276 across the 13 of their papers we have counts for

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math-ph2014★ 19 cited

Space-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivative

R. K. Saxena, A. M. Mathai, H. J. Haubold

This paper deals with the investigation of the computational solutions of an unified fractional reaction-diffusion equation, which is obtained from the standard diffusion equation…

math-ph2014★ 10 cited

Fractional Helmholtz and fractional wave equations with Riesz-Feller and generalized Riemann-Liouville fractional derivatives

Ram K. Saxena, Zivorad Tomovski, Trifce Sandev

The objective of this paper is to derive analytical solutions of fractional order Laplace, Poisson and Helmholtz equations in two variables derived from the corresponding standard…

math-ph2008★ 10 cited

A note on the Voigt profile function

G. Pagnini, R. K. Saxena

A Voigt profile function emerges in several physical investigations (e.g. atmospheric radiative transfer, astrophysical spectroscopy, plasma waves and acoustics) and it turns out t…

math-ph2004★ 24 cited

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…

math-ph2004★ 88 cited

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…