Solution of Generalized Fractional Kinetic Equation by Laplace and Kamal Transformation

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-6
Year of Publication : 2021
Authors : Chander Prakash Samar, Dr.Hemlata Saxena
  10.14445/22315373/IJMTT-V67I6P505

MLA

MLA Style: Chander Prakash Samar, Dr.Hemlata Saxena  "Solution of Generalized Fractional Kinetic Equation by Laplace and Kamal Transformation" International Journal of Mathematics Trends and Technology 67.6 (2021):38-43. 

APA Style: Chander Prakash Samar, Dr.Hemlata Saxena(2021). Solution of Generalized Fractional Kinetic Equation by Laplace and Kamal Transformation International Journal of Mathematics Trends and Technology, 38-43.

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.

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