On Image Formulae Leading to Fractional Kinetic Equations Solutions via Sumudu Generalized k-Bessel Functions

Kottakkaran S. Nisar; Moheb S. Abouzaid; Fethi Bin M. Belgacem

doi:10.20944/preprints201711.0076.v1

Submitted:

11 November 2017

Posted:

13 November 2017

You are already at the latest version

Subscription

Notify me about updates to this article or when a peer-reviewed version is published.

Preprint

Article

This version is not peer-reviewed.

On Image Formulae Leading to Fractional Kinetic Equations Solutions via Sumudu Generalized k-Bessel Functions

Kottakkaran S. Nisar^*

,Moheb S. Abouzaid,Fethi Bin M. Belgacem

Kottakkaran S. Nisar^*

,Moheb S. Abouzaid,Fethi Bin M. Belgacem

A peer-reviewed article of this preprint also exists.

Submitted:

11 November 2017

Posted:

13 November 2017

You are already at the latest version

Abstract

Recently, representation formulae and monotonicity properties of generalized k-Bessel functions, Wk v,c., were established and studied by SR Mondal [24]. In this paper, we pursue and investigate some of their image formulae. We then extract solutions for fractional kinetic equations, involving Wk v,c, by means of their Sumudu transforms. In the process, Important special cases are then revealed, and analyzed.

Keywords:

fractional calculus

;

k-bessel function

;

fractional kinetic equations

;

laplace transforms

Subject:

Computer Science and Mathematics - Analysis

Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.