On the Boundary Value Problem of Nonlinear Fractional Integro-Differential Equations

Using Banach’s contractive principle and the Laray–Schauder fixed point theorem, we study uniqueness existence of solutions to a nonlinear two-term fractional integro-differential equation with boundary condition based on Babenko’s approach Mittag–Leffler function. The current work also corrects major errors in published paper dealing one-term differential equation. Furthermore, provide examples illustrate application our main theorems.