A Study of Symmetric Contractions With an Application To Generalized Fractional Differential Equations
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Date
2021
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Publisher
Springer
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GOLD
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Abstract
This article proposes four distinct kinds of symmetric contraction in the framework of complete F-metric spaces. We examine the condition to guarantee the existence and uniqueness of a fixed point for these contractions. As an application, we look for the solutions to fractional boundary value problems involving a generalized fractional derivative known as the fractional derivative with respect to another function.
Description
Hussain, Aftab/0000-0002-7742-5993
ORCID
Keywords
Boundary Value Problem, Generalized Fractional Derivative, Fixed Point, Measure Of Noncompactness, Financial economics, Economics, Mathematical analysis, Contraction mapping, Generalized fractional derivative, Fixed Point Theorems in Metric Spaces, Differential equation, QA1-939, FOS: Mathematics, Fixed-point theorem, Boundary value problem, Internal medicine, Measure of noncompactness, Fractional calculus, Pure mathematics, Astronomy and Astrophysics, Partial differential equation, Fixed point, Generalized Contractions, Applied mathematics, Finsler Geometry in Physics and Cosmology, Physics and Astronomy, Derivative (finance), Physical Sciences, Contraction (grammar), Medicine, Geometry and Topology, Uniqueness, Mathematics, Ordinary differential equation, Fractional ordinary differential equations, Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc., Fractional derivatives and integrals, measure of noncompactness, Applications of operator theory to differential and integral equations, fixed point, boundary value problem, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc., generalized fractional derivative
Fields of Science
02 engineering and technology, 01 natural sciences, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics
Citation
Hussain, Aftab; Jarad, Fahd; Karapınar, Erdal (2021). "A study of symmetric contractions with an application to generalized fractional differential equations", Advances in Difference Equations, Vol. 2021, No. 1.
WoS Q
Q1
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OpenCitations Citation Count
12
Source
Advances in Difference Equations
Volume
2021
Issue
1
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CrossRef : 1
Scopus : 15
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