Existence and Ulam-Hyers Stability Results for a Class of Fractional Integro-Differential Equations Involving Nonlocal Fractional Integro-Differential Boundary Conditions

In this paper, we investigate the existence and uniqueness of solutions for a class of fractional integro-differential boundary value problems involving both Riemann-Liouville and Caputo fractional derivatives, and supplemented with multi -point and nonlocal Riemann-Liouville fractional integral and Caputo fractional derivative boundary conditions. Our results are based on some known tools of fixed point theory. We also study the Ulam-Hyers stability for the proposed fractional problems. Finally, some illustrative examples are included to verify the validity of our results.