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.