NEW GENERALIZATION OF FRACTIONAL KINETIC EQUATION
 USING ALEPH-FUNCTION OF TWO VARIABLES

F. Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V32P507

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 32 | Number 1 | Year 2016 | Article Id. IJMTT-V32P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V32P507

NEW GENERALIZATION OF FRACTIONAL KINETIC EQUATION USING ALEPH-FUNCTION OF TWO VARIABLES

F. Ayant

Abstract

Recently, Dutta et al [21] use the Aleph-function on one variable for solving generalized fractional kinetic equation. In this paper, the solution of a class of fractional Kinetic equation involving Aleph-function of two variables has been discussed. Special cases involving the I-function of two variables , H-function of two variables and product of two Aleph functions are also discussed. Results obtained are related to recent investigations of possible astrophysical solutions of the solar neutrino problem.

Keywords

Aleph function of two variables. I-function of two variables. H-function of two variables. Aleph-function of one variables. Fractional Kinetic equation. Laplace transform. Riemann-Liouville fractional integral.

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Citation :

F. Ayant, "NEW GENERALIZATION OF FRACTIONAL KINETIC EQUATION USING ALEPH-FUNCTION OF TWO VARIABLES," International Journal of Mathematics Trends and Technology (IJMTT), vol. 32, no. 1, pp. 38-43, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V32P507