Nonlinear F-Contractions on B-Metric Spaces and Differential Equations in the Frame of Fractional Derivatives With Mittag-Leffler Kernel
Loading...
Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Pergamon-elsevier Science Ltd
Open Access Color
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%
Abstract
In 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.
Description
Jarad, Fahd/0000-0002-3303-0623
ORCID
Keywords
B-Metric Space, Nonlinear F-Contraction, Fractional Derivative, \(b\)-metric space, Fixed-point and coincidence theorems (topological aspects), nonlinear \(F\)-contraction, fractional derivative, Fractional ordinary differential equations, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, Special maps on metric spaces
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Alqahtani, 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.
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
28
Source
Chaos, Solitons & Fractals
Volume
128
Issue
Start Page
349
End Page
354
PlumX Metrics
Citations
CrossRef : 2
Scopus : 34
Captures
Mendeley Readers : 8
SCOPUS™ Citations
35
checked on Feb 24, 2026
Web of Science™ Citations
33
checked on Feb 24, 2026
Google Scholar™
