New existence results for boundary value problems with integral conditions

الموضوعات : Fuzzy Optimization and Modeling Journal

Rahmat Darzi ¹ (Department of mathematics, Islamic Azad university,Neka branch, Neka, Iran)
Roja Mahmoudi Matankolae ² (Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran)

تاريخ الإرسال : 14 الأربعاء , جمادى الثانية, 1442 تاريخ التأكيد : 25 الجمعة , رمضان, 1442 تاريخ الإصدار : 17 الجمعة , جمادى الأولى, 1442

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

ملخص المقالة :

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.