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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Bibliographic Details
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
Description
Summary: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.
ISSN:2314-4785