%0 Journal Article
%T General Fractional Integro-Differential Equation of Order $\varrho\in(2,3]$ Involving Integral Boundary Conditions
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A El Allaoui, Abdelati
%D 2024
%\ 01/01/2024
%V 21
%N 1
%P 221-236
%! General Fractional Integro-Differential Equation of Order $\varrho\in(2,3]$ Involving Integral Boundary Conditions
%K Caputo fractional derivative
%K Existence result
%K Integral boundary conditions
%K Integro-differential equation
%R 10.22130/scma.2023.1990457.1264
%X 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 $2< \varrho \leq 3$. 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.
%U https://scma.maragheh.ac.ir/article_708317_49394e0508e7a20fd83730f0db3acc99.pdf