Special Session 18: Progress on delay and fractional differential equations with real-world application

Babenko`s method for fractional integral and differential equations and their q-analogues
Min-Jie Luo
Donghua University
Peoples Rep of China
Co-Author(s):    
Abstract:
Very recently, Babenko`s method, also known as the inverse operator method, has been revitalized and widely applied to solve various differential and integral equations. In this talk, we will briefly describe this method and show its usefulness in solving certain classes of fractional integral and differential equations and their q-analogues. Some interesting q-analogues of known special functions and operators will also be introduced. This is joint work with Ravinder Krishna Raina, Xue-Lin Zhou and Qing-Hui Peng.