Existence and uniqueness results for generalized fractional integrodifferential equations with nonlocal terminal condition

In this study, we give results on the existence and uniqueness of solutions for generalized fractional integrodifferential equations with a nonlocal terminal condition. We have proved the existence of solutions to the problem proposed using the Schauder fixed point theorem and the uniqueness of its solutions is proved using the Banach fixed point theorem. At the end, we discussed the examples to support our results.

Keywords:

Generalized fractional derivative , fractional integrodifferential equation , terminal condition , Schauder fixed point theorem