Family of Yang–Yu 𝕎-functions associated with fractional kinetic equations

The objective of this work is to derive a generalized fractional kinetic equation in terms of a new generalized hypergeometirc function: Yang–Yu [Formula: see text]-function. Recently, a number of researchers have worked to develop solutions of generalized fractional kinetic equations in terms of Mittag-Leffler functions. Here, we developed the solution of fractional kinetic equation with the help of Laplace transform in terms of the Yang–Yu [Formula: see text]-function and the incomplete function family of it. Subsequently, we showcase some intriguing results of the main findings by specializing the Yang–Yu [Formula: see text]-function and incomplete [Formula: see text]-functions parameters into more straightforward special functions.