Nonlinear sequential Riemann–Liouville and Caputo fractional differential equations with generalized fractional integral conditions

Abstract

In this paper, we discuss the existence and uniqueness of solutions for two new classes of sequential fractional differential equations of Riemann–Liouville and Caputo types with generalized fractional integral boundary conditions, by using standard fixed point theorems. In addition, we also demonstrate the application of the obtained results with the aid of examples.