Hybrid Fixed Point Theorem with Applications to Forced Damped Oscillations and Infinite Systems of Fractional Order Differential Equations

Hybrid Fixed Point Theorem with Applications to Forced Damped Oscillations and Infinite Systems of Fractional Order Differential Equations

In this manuscript, hybrid common fixed point results in the setting of a b-metric space are established. Our results generalized the results of Fisher, Khan, and Piri et al. for set-valued mapping in b-metric spaces. Applications to forced damped oscillations, infinite systems of fractional order d...

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Main Authors: Muhammad Shoaib, Muhammad Sarwar, Thabet Abdeljawad
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2020/4843908
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spelling doaj-dbf376beaff540ba98a8dad2aadce7932020-12-21T11:41:31ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/48439084843908Hybrid Fixed Point Theorem with Applications to Forced Damped Oscillations and Infinite Systems of Fractional Order Differential EquationsMuhammad Shoaib0Muhammad Sarwar1Thabet Abdeljawad2Department of Mathematics, University of Malakand, Chakdara Dir (L), PakistanDepartment of Mathematics, University of Malakand, Chakdara Dir (L), PakistanDepartment of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi ArabiaIn this manuscript, hybrid common fixed point results in the setting of a b-metric space are established. Our results generalized the results of Fisher, Khan, and Piri et al. for set-valued mapping in b-metric spaces. Applications to forced damped oscillations, infinite systems of fractional order differential equations, and system of functional equations are also studied. We construct an example to support our main result.http://dx.doi.org/10.1155/2020/4843908
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Shoaib
Muhammad Sarwar
Thabet Abdeljawad
spellingShingle Muhammad Shoaib
Muhammad Sarwar
Thabet Abdeljawad
Hybrid Fixed Point Theorem with Applications to Forced Damped Oscillations and Infinite Systems of Fractional Order Differential Equations
Journal of Function Spaces
author_facet Muhammad Shoaib
Muhammad Sarwar
Thabet Abdeljawad
author_sort Muhammad Shoaib
title Hybrid Fixed Point Theorem with Applications to Forced Damped Oscillations and Infinite Systems of Fractional Order Differential Equations
title_short Hybrid Fixed Point Theorem with Applications to Forced Damped Oscillations and Infinite Systems of Fractional Order Differential Equations
title_full Hybrid Fixed Point Theorem with Applications to Forced Damped Oscillations and Infinite Systems of Fractional Order Differential Equations
title_fullStr Hybrid Fixed Point Theorem with Applications to Forced Damped Oscillations and Infinite Systems of Fractional Order Differential Equations
title_full_unstemmed Hybrid Fixed Point Theorem with Applications to Forced Damped Oscillations and Infinite Systems of Fractional Order Differential Equations
title_sort hybrid fixed point theorem with applications to forced damped oscillations and infinite systems of fractional order differential equations
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2020-01-01
description In this manuscript, hybrid common fixed point results in the setting of a b-metric space are established. Our results generalized the results of Fisher, Khan, and Piri et al. for set-valued mapping in b-metric spaces. Applications to forced damped oscillations, infinite systems of fractional order differential equations, and system of functional equations are also studied. We construct an example to support our main result.
url http://dx.doi.org/10.1155/2020/4843908
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AT muhammadsarwar hybridfixedpointtheoremwithapplicationstoforceddampedoscillationsandinfinitesystemsoffractionalorderdifferentialequations
AT thabetabdeljawad hybridfixedpointtheoremwithapplicationstoforceddampedoscillationsandinfinitesystemsoffractionalorderdifferentialequations
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