Integral Transform and the Solution of Fractional Kinetic Equation Involving Some Special Functions

S.K.Sharma; A.S.Shekhawat

doi:https://doi.org/10.14445/22315373/IJMTT-V55P516

International Journal of Mathematics Trends and Technology

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Volume 55 | Number 2 | Year 2018 | Article Id. IJMTT-V55P516 | DOI : https://doi.org/10.14445/22315373/IJMTT-V55P516

Integral Transform and the Solution of Fractional Kinetic Equation Involving Some Special Functions

S.K.Sharma, A.S.Shekhawat

Abstract

The aim of the present paper is to establish the solution of advanced generalized fractional order kinetic equation and a main theorem based upon the multivariable I-function, Mittag –Leffler function, generalized M-series, generalized k4 – function, and generalized Mittag- Leffler function, Riemann–Liouville operator. The solution of the generalized fractional kinetic equation involving the multivariable I-function is obtained with help of the Laplace and Sumudu transform. Due to its simple formulation and consequent special and useful properties, the Sumudu and Laplace transform has already shown much promise. It is revealed herein and elsewhere that is can help to solve intricate problems in mathematical physics, especially in astrophysical problems. The results derived by using certain Corollaries used in this paper are interesting, computable and very general in nature.

Keywords

Special functions, Fractional Kinetic equation, Mittag-Leffler function, Riemann-Liouville operator, Laplace transform, Sumudu transform.

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Citation :

S.K.Sharma, A.S.Shekhawat, "Integral Transform and the Solution of Fractional Kinetic Equation Involving Some Special Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 55, no. 2, pp. 127-136, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V55P516