Preprint Article Version 1 This version not peer reviewed

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

Version 1 : Received: 11 November 2017 / Approved: 13 November 2017 / Online: 13 November 2017 (03:45:49 CET)

How to cite: Nisar, K.S.; Abouzaid, M.S.; Belgacem, F.B.M.. On Image Formulae Leading to Fractional Kinetic Equations Solutions via Sumudu Generalized k-Bessel Functions. Preprints 2017, 2017110076 (doi: 10.20944/preprints201711.0076.v1). Nisar, K.S.; Abouzaid, M.S.; Belgacem, F.B.M.. On Image Formulae Leading to Fractional Kinetic Equations Solutions via Sumudu Generalized k-Bessel Functions. Preprints 2017, 2017110076 (doi: 10.20944/preprints201711.0076.v1).

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.

Subject Areas

fractional calculus; k-bessel function; fractional kinetic equations; laplace transforms

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