general fractional integro-differential equation of order ϱ ∈ (2, 3] involving integral boundary conditions

In this paper, we are interested in studying an integro-differential equation with two-point integral boundary conditions using the caputo fractional derivative of order 2 < ϱ ≤ 3. the con-sidered problem is transformed into an equivalent integral equation. to study existence and uniqueness results, our approaches used is based on two well-known fixed point theorems, banach contraction and krasnoselskii’s theorems. to illustrate our obtained outcomes, an example is given at the end of this paper.