On the Solutions of Generalized Fractional Kinetic Equations involving the Functions for the Fractional Calculus
Fractional kinetic equations, Fractional calculus, Special functions, Mittag-Leffler function, K4- Function, Lalace transform
Abstract
The paper is devoted to the study of the solution of generalized fractional kinetic equations. Results are obtained in a compact form in terms of K4 -Function introduced by sharma [9]. The results obtained in this paper are the extensions of the results given earlier by believed to be new.
Downloads
How to Cite
References
The Solutions of Generalized Fractional Kinetic Equations Involving the Functions for the Fractional Calculus.
Keith Oldham, Jerome Spanier (1974) The Fractional Calculus; Theory and Applications of Differentiation and integration to Arbitrary Order.
K Sharma (2012) On Application of Fractional Differintegral Operator to the K 4 -Function. 30(1), 91-97.
K Miller, B Ross (1993) An Introduction to the Fractional Calculus and Fractional Differential Equations.
R Saxena, A Mathai, H Haubold (2002) On fractional kinetic equations. 282(1), 281-287.
R Saxena, A Mathai, H Haubold (2004) On generalized fractional kinetic equations. 344(3-4), 657-664.
R Saxena, A Mathai, H Haubold (2002) Unified Fractional Kinetic Equation and a Fractional Diffusion Equation. 290(3-4), 299-310.
R Saxena, A Mathai, H Haubold (2010) Solutions of certain fractional kinetic equations and a fractional diffusion equation. 51(10).
R Saxena, S Kalla (2008) On the solutions of certain fractional kinetic equations. 199, 504-511.
S Samko, A Kilbas, O Marichev (1990) Fractional Integrals and Derivatives. Theory and Applications.
Vinod Chaurasia, Shared Pandey (2010) Computable extensions of generalized fractional kinetic equations in astrophysics. 10(1), 22-32.
V Chaurasia, S Pandey (2008) On the new computable solution of the generalized fractional kinetic equations involving the generalized function for the fractional calculus and related functions. 317(3-4), 213-219.
V Chaurasia, S Pandey (2008) Unknown Title. 317, 213.
V Kourganoff (1973) Elementary Introduction to the Physics of Stellar Interiors. 46-60.
Walter Gloeckle, Theo Nonnenmacher (1991) Fractional integral operators and Fox functions in the theory of viscoelasticity. 24(24), 6426-6434.
Published
2011-09-07
Issue
Section
License
Copyright (c) 2011 Authors and Global Journals Private Limited

This work is licensed under a Creative Commons Attribution 4.0 International License.