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: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/4843908 |
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| _version_ | 1849683249491607552 |
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| author | Muhammad Shoaib Muhammad Sarwar Thabet Abdeljawad |
| author_facet | Muhammad Shoaib Muhammad Sarwar Thabet Abdeljawad |
| author_sort | Muhammad Shoaib |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-dbf376beaff540ba98a8dad2aadce793 |
| institution | DOAJ |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-dbf376beaff540ba98a8dad2aadce7932025-08-20T03:23:57ZengWileyJournal 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2020/4843908 |
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