Remarks on a type of fractional kinetic equations

During the last several decades, a great variety of fractional kinetic equations involving diverse special functions have been broadly and usefully employed in describing and solving several important problems of physics and astrophysics. In this paper, we aim firstly to make a brief survey of as many as papers involving a chosen type of fractional kinetic equations, and, with a view to demonstrating main employed techniques and important identities which have been employed in the chosen type of fractional kinetic equations, secondly to find solutions of this type of fractional kinetic equations associated with the $(p,q)$-extended $\tau$-hypergeometric function and the $(p,q)$-extended $\tau$-confluent hypergeometric function. Also, in terms of two main employed techniques, Laplace transform and Sumudu transform, the surveyed papers involving this type of fractional kinetic equations are classified into three classes.
This is a joint work with Nabiullah Khan (Aligarh Muslim University, Aligarh, India), Owais Khan (Aligarh Muslim University, Aligarh, India), and Kottakkaran Sooppy Nisar (Prince Sattam bin Abdulaziz University, Wadi Al dawaser, Saudi Arabia).