A Study of Fractional Kinetic Equations Incorporating Incomplete R‐Function Kernels

This article introduces a more generalized version of the fractionalized kinetic equation (KE), expressed using the incomplete R‐function. Various special functions—including the incomplete and complete forms of the R‐function and H‐function, as well as the Fox–Wright and Meijer’s G‐functions—are employed to highlight the importance of fractional KEs in diverse scientific and engineering applications. The solutions are compactly obtained from containing incomplete special functions using a modified degenerate Laplace transform. The graphical simulation has also been discussed. The general conclusions offer a unified framework for solving a wide range of fractional KEs.