Qualitative Analysis of Implicit Dirichlet Boundary Value Problem for Caputo-Fabrizio Fractional Differential Equations
| dc.contributor.author | Shah, Kamal | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Gul, Rozi | |
| dc.contributor.author | Sarwar, Muhammad | |
| dc.date.accessioned | 2022-12-07T12:02:01Z | |
| dc.date.accessioned | 2025-09-18T13:26:26Z | |
| dc.date.available | 2022-12-07T12:02:01Z | |
| dc.date.available | 2025-09-18T13:26:26Z | |
| dc.date.issued | 2020 | |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768; Shah, Kamal/0000-0002-8851-4844 | en_US |
| dc.description.abstract | This article studies a class of implicit fractional differential equations involving a Caputo-Fabrizio fractional derivative under Dirichlet boundary conditions (DBCs). Using classical fixed-point theory techniques due to Banch's and Krasnoselskii, a qualitative analysis of the concerned problem for the existence of solutions is established. Furthermore, some results about the stability of the Ulam type are also studied for the proposed problem. Some pertinent examples are given to justify the results. | en_US |
| dc.description.sponsorship | Prince Sultan University [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | The authors are grateful to the editorial board and anonymous reviewers for their comments and remarks which helped to improve this manuscript. The third author would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17. | en_US |
| dc.identifier.citation | Gul, Rozi...et al. (2020). "Qualitative analysis of implicit Dirichlet boundary value problem for Caputo-Fabrizio fractional differential equations", Journal of Function Spaces, Vol. 2020. | en_US |
| dc.identifier.doi | 10.1155/2020/4714032 | |
| dc.identifier.issn | 2314-8896 | |
| dc.identifier.issn | 2314-8888 | |
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| dc.identifier.uri | https://doi.org/10.1155/2020/4714032 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12614 | |
| 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 | Qualitative Analysis of Implicit Dirichlet Boundary Value Problem for Caputo-Fabrizio Fractional Differential Equations | en_US |
| dc.title | Qualitative analysis of implicit Dirichlet boundary value problem for Caputo-Fabrizio fractional differential equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
| gdc.author.id | Shah, Kamal/0000-0002-8851-4844 | |
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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 | |
| gdc.author.wosid | Shah, Kamal/S-8662-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Gul, Rozi; Sarwar, Muhammad; Shah, Kamal] Univ Malakand, Dept Math, Chakdara Dir L, 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, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkey | en_US |
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| gdc.oaire.keywords | Fractional Differential Equations | |
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| gdc.oaire.keywords | fixed-point techniques due to Banach and Krasnoselskii | |
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