Rahmat Darzi - Department of mathematics, Islamic Azad university,Neka branch, Neka, Iran
Roja Mahmoudi Matankolae - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

In this paper, we investigate the existence and uniqueness of solution for fractional boundary value problem (FBVP) with the integral boundary conditions. We use the contraction mapping principle and Krasnoselskii’s fixed point theorem to obtain some new existence and uniqueness results.

Atangana-Baleanu fractional derivative, Fractional boundary value problem, Integral boundary conditions, Fixed point theory