Generalized Darbo-Type F-Contraction and F-Expansion and Its Applications To a Nonlinear Fractional-Order Differential Equation
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Zada, Mian Bahadur | |
| dc.contributor.author | Sarwar, Muhammad | |
| dc.date.accessioned | 2022-05-13T11:48:30Z | |
| dc.date.accessioned | 2025-09-18T15:43:56Z | |
| dc.date.available | 2022-05-13T11:48:30Z | |
| dc.date.available | 2025-09-18T15:43:56Z | |
| dc.date.issued | 2020 | |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768 | en_US |
| dc.description.abstract | In this work, we introduce various Darbo-type F -contractions pound, and utilizing these contractions, we present some fixed point theorems. Moreover, we introduce a Darbo-type F -expanding pound mapping and prove fixed point theorems under the Darbo-type F -expanding pound mapping. Employing our results, we check the existence of a solution to the nonlinear fractional-order differential equation under the integral type boundary conditions. For its validity, an appropriate example is given. | en_US |
| dc.description.sponsorship | Prince Sultan University [RGDES-2017-01-17] | en_US |
| dc.description.sponsorship | The third author thanks Prince Sultan University for funding this research through the group: Nonlinear Analysis Methods in Applied Mathematics (NAMAM), group number RGDES-2017-01-17. | en_US |
| dc.identifier.citation | Zada, Mian Bahadur...et al. (2020). "Generalized Darbo-Type F -Contraction and F -Expansion and Its Applications to a Nonlinear Fractional-Order Differential Equation", Journal of Function Spaces, Vol. 2020. | en_US |
| dc.identifier.doi | 10.1155/2020/4581035 | |
| dc.identifier.issn | 2314-8896 | |
| dc.identifier.issn | 2314-8888 | |
| dc.identifier.scopus | 2-s2.0-85097220372 | |
| dc.identifier.uri | https://doi.org/10.1155/2020/4581035 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14063 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Ltd | en_US |
| dc.relation.ispartof | Journal of Function Spaces | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | Generalized Darbo-Type F-Contraction and F-Expansion and Its Applications To a Nonlinear Fractional-Order Differential Equation | en_US |
| dc.title | Generalized Darbo-Type F -Contraction and F -Expansion and Its Applications to a Nonlinear Fractional-Order Differential Equation | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Sarwar, Muhammad/S-8896-2016 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Zada, Mian Bahadur; Sarwar, Muhammad] Univ Malakand, Dept Math, Chakdara Dir L, Khyber Pakhtunk, Pakistan; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey | en_US |
| gdc.description.endpage | 10 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 2020 | en_US |
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| gdc.oaire.keywords | Fractional Differential Equations | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Fixed-point theorems | |
| gdc.oaire.keywords | Fixed Point Theorems in Metric Spaces | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | Fixed-point theorem | |
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| gdc.oaire.keywords | Generalized Contractions | |
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| gdc.oaire.keywords | Contractive Mappings | |
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| gdc.oaire.keywords | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. | |
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