On differential equations involving the ψ-shifted fractional operators

This paper is in concern with the study of differential problems involving the psi-shifted fractional derivatives, where psi is a scaling function. Such operators can be thought of as a generalization of several fractional derivatives such as the classical Riemann-Liouville and Caputo operators, the Hadamard operators, the generalized fractional operators, and the Erdelyi-Kober operators, among others. Two types of boundary conditions are considered: the Cauchy problems and the integral boundary conditions.

Automated summary

This paper focuses on the study of differential problems involving psi-shifted fractional derivatives, considering various boundary conditions including the Cauchy problems and integral boundary conditions.