Solution of Generalized Fractional Kinetic Equation by Laplace and Kamal Transformation

Chander Prakash Samar; Dr.Hemlata Saxena

doi:https://doi.org/10.14445/22315373/IJMTT-V67I6P505

International Journal of Mathematics Trends and Technology

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Volume 67 | Issue 6 | Year 2021 | Article Id. IJMTT-V67I6P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I6P505

Solution of Generalized Fractional Kinetic Equation by Laplace and Kamal Transformation

Chander Prakash Samar, Dr.Hemlata Saxena

Abstract

In this paper we consider a generalized fractional kinetic equation which contain generalized Mittag-Leffler function Eα,βγ,q[Z]. The solution of this generalized fractional kinetic equation are obtained by the method of Laplace transform and Kamal transform. The study will also try to establish the relation existing between these new integral transform in particular, Some known results are also obtain in a special cases. Both the transformation gives same results.

Keywords

Fractional Calculus, Riemann-Liouville operator, Generalized Mittag-Leffler function, Laplace Transform, Inverse Laplace Transform, Kamal Transform, Inverse Kamal Transform.

References

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Citation :

Chander Prakash Samar, Dr.Hemlata Saxena, "Solution of Generalized Fractional Kinetic Equation by Laplace and Kamal Transformation," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 6, pp. 38-43, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I6P505