Recently, several fractional kinetic equations (KE) involving various special functions have been widely and usefully used in describing and solving diverse important problems in physics and astrophysics. Several authors have been used a variety of methodologies to study the fractional KE and its solution. In this article, fractional kinetic equation has been expressed in terms of polynomial along with incomplete \(\aleph \) -function, weighing the significance of the fractional KE that appear in a variety of scientific and engineering scenarios. Pathway-type transform is used to solve the fractional KE. Each of the obtained conclusions is of a general nature and is capable of generating the solutions of several fractional KE. A graphical representation of the behaviors of the obtained solutions is also provided.