New existence results for boundary value problems with integral conditions

Subject Areas : Fuzzy Optimization and Modeling Journal

Rahmat Darzi ¹ , Roja Mahmoudi Matankolae ²

1 - Department of mathematics, Islamic Azad university,Neka branch, Neka, Iran
2 - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

Received: 2021-01-27 Accepted : 2021-05-07 Published : 2021-01-01

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

Abstract :

In this paper, we investigate the existence and uniqueness of solution for fractionalboundary 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.