Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed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)

A peer-reviewed article of this Preprint also exists.

Nisar, K.S., Abouzaid, M.S. & Belgacem, F.B.M. Certain Image Formulae and Fractional Kinetic Equations of Generalized k-Bessel Functions via the Sumudu Transform. Int. J. Appl. Comput. Math 6, 114 (2020). https://doi.org/10.1007/s40819-020-00866-7 Nisar, K.S., Abouzaid, M.S. & Belgacem, F.B.M. Certain Image Formulae and Fractional Kinetic Equations of Generalized k-Bessel Functions via the Sumudu Transform. Int. J. Appl. Comput. Math 6, 114 (2020). https://doi.org/10.1007/s40819-020-00866-7

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

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