University of MaraghehSahand Communications in Mathematical Analysis2322-580721120240101General Fractional Integro-Differential Equation of Order $\varrho\in(2,3]$ Involving Integral Boundary Conditions22123670831710.22130/scma.2023.1990457.1264ENAbdelatiEl AllaouiMISCOM, National School of Applied Sciences, Cadi Ayyad University, Safi, Morocco.0000-0001-7197-4951Journal Article20230225In this paper, we are interested in studying an integro-differential equation with two-point integral boundary conditions using the Caputo fractional derivative of order $2< \varrho \leq 3$. The considered 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.https://scma.maragheh.ac.ir/article_708317_49394e0508e7a20fd83730f0db3acc99.pdf