New existence results for boundary value problems with integral conditions
Publish place: Fuzzy Optimization and Modeling Journal، Vol: 2، Issue: 2
Publish Year: 1399
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_FOMJ-2-2_006
تاریخ نمایه سازی: 20 مرداد 1400
Abstract:
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.
Keywords:
Atangana-Baleanu fractional derivative , Fractional boundary value problem , Integral boundary conditions , Fixed point theory
Authors
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