Original scientific paper

Solutions of generalized fractional kinetic equations involving Aleph functions

Junesang Choi ; Department of Mathematics, Dongguk University, Gyeongju, Republic of Korea
Dinesh Kumar ; Department of Mathematics and Statistics, Jai Narian Vyas University, Jodhpur, India

Abstract

In view of the usefulness and a great importance of the kinetic equation incertain astrophysical problems, the authors develop a new and further generalized form ofthe fractional kinetic equation in terms of Aleph-function by using Sumudu transform. Thisnew generalization can be used for the computation of the change of chemical compositionin stars like the sun. The manifold generality of the Aleph-function is discussed in termsof the solution of the above fractional kinetic equation. The main results, being of generalnature, are shown to be some unication and extension of many known results given, forexample, by Saxena et al. [23, 25, 31], Saxena and Kalla [22], Chaurasia and Kumar [6],Dutta et al. [8], and etc.

Keywords

Fractional kinetic equation; Sumudu transforms; Laplace transforms; Frac- tional calculus; Aleph-function; I-function; H-function; Mittag-Leer function; M-series

Hrčak ID:

140395

URI

https://hrcak.srce.hr/140395

Publication date:

1.7.2015.

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