Solution of Fractional Differential Equations Utilizing Symmetric Contraction

Solution of Fractional Differential Equations Utilizing Symmetric Contraction

The aim of this paper is to present another family of fractional symmetric α-η-contractions and build up some new results for such contraction in the context of ℱ-metric space. The author derives some results for Suzuki-type contractions and orbitally T-complete and orbitally continuous mappings in...

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Main Author: Aftab Hussain
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2021/5510971
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spelling doaj-8517085941f742e284faf3934d8c5af02021-05-31T00:33:12ZengHindawi LimitedJournal of Mathematics2314-47852021-01-01202110.1155/2021/5510971Solution of Fractional Differential Equations Utilizing Symmetric ContractionAftab Hussain0Department of MathematicsThe aim of this paper is to present another family of fractional symmetric α-η-contractions and build up some new results for such contraction in the context of ℱ-metric space. The author derives some results for Suzuki-type contractions and orbitally T-complete and orbitally continuous mappings in ℱ-metric spaces. The inspiration of this paper is to observe the solution of fractional-order differential equation with one of the boundary conditions using fixed-point technique in ℱ-metric space.http://dx.doi.org/10.1155/2021/5510971
collection DOAJ
language English
format Article
sources DOAJ
author Aftab Hussain
spellingShingle Aftab Hussain
Solution of Fractional Differential Equations Utilizing Symmetric Contraction
Journal of Mathematics
author_facet Aftab Hussain
author_sort Aftab Hussain
title Solution of Fractional Differential Equations Utilizing Symmetric Contraction
title_short Solution of Fractional Differential Equations Utilizing Symmetric Contraction
title_full Solution of Fractional Differential Equations Utilizing Symmetric Contraction
title_fullStr Solution of Fractional Differential Equations Utilizing Symmetric Contraction
title_full_unstemmed Solution of Fractional Differential Equations Utilizing Symmetric Contraction
title_sort solution of fractional differential equations utilizing symmetric contraction
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4785
publishDate 2021-01-01
description The aim of this paper is to present another family of fractional symmetric α-η-contractions and build up some new results for such contraction in the context of ℱ-metric space. The author derives some results for Suzuki-type contractions and orbitally T-complete and orbitally continuous mappings in ℱ-metric spaces. The inspiration of this paper is to observe the solution of fractional-order differential equation with one of the boundary conditions using fixed-point technique in ℱ-metric space.
url http://dx.doi.org/10.1155/2021/5510971
work_keys_str_mv AT aftabhussain solutionoffractionaldifferentialequationsutilizingsymmetriccontraction
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