Existence of solutions for semilinear fractional integro-differential equations with nonlocal conditions

In this work, we consider the existence of solutions for semilinear fractional integrodifferential equations with nonlocal conditions.A new set of sufficient conditions proving existence of solutions are derived by using the fractional calculus, α-resolvent operators theory, measure of noncompactness and some fixed point theorems.In the end, an example is provided to illustrate the applicability of our results.