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

Abstract

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.