Jarad, FahdKarapinar, ErdalAlqahtani, BadrFulga, Andreea02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2022-08-242025-09-182022-08-242025-09-182019Alqahtani, Badr...et al. (2019). "Nonlinear F-contractions on b-metric spaces and differential equations in the frame of fractional derivatives with Mittag–Leffler kernel", Chaos, Solitons and Fractals, Vol. 128, pp. 349-354.0960-07791873-2887https://doi.org/10.1016/j.chaos.2019.08.002https://hdl.handle.net/123456789/11040Jarad, Fahd/0000-0002-3303-0623In this manuscript, we aim to refine and characterize nonlinear F-contractions in a more general framework of b-metric spaces. We investigate the existence and uniqueness of such contractions in this setting. We discuss the solutions to differential equations in the setting of fractional derivatives involving Mittag-Leffler kernels (Atangana-Baleanu fractional derivative) by using nonlinear F-contractions that indicate the genuineness of the presented result. (C) 2019 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessB-Metric SpaceNonlinear F-ContractionFractional DerivativeNonlinear F-Contractions on B-Metric Spaces and Differential Equations in the Frame of Fractional Derivatives With Mittag-Leffler KernelNonlinear F-contractions on b-metric spaces and differential equations in the frame of fractional derivatives with Mittag–Leffler kernelArticle10.1016/j.chaos.2019.08.0022-s2.0-85070887663