Mathematical Analysis of Nonlocal Implicit Impulsive Problem Under Caputo Fractional Boundary Conditions
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Shah, Kamal | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Ali, Arshad | |
| dc.contributor.author | Gupta, Vidushi | |
| dc.date.accessioned | 2022-06-16T08:04:00Z | |
| dc.date.accessioned | 2025-09-18T16:07:40Z | |
| dc.date.available | 2022-06-16T08:04:00Z | |
| dc.date.available | 2025-09-18T16:07:40Z | |
| dc.date.issued | 2020 | |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768; Shah, Kamal/0000-0002-8851-4844; Ali, Arshad/0000-0001-7815-3849 | en_US |
| dc.description.abstract | This paper is related to frame a mathematical analysis of impulsive fractional order differential equations (IFODEs) under nonlocal Caputo fractional boundary conditions (NCFBCs). By using fixed point theorems of Schaefer and Banach, we analyze the existence and uniqueness results for the considered problem. Furthermore, we utilize the theory of stability for presenting Hyers-Ulam, generalized Hyers-Ulam, Hyers-Ulam-Rassias, and generalized Hyers-Ulam-Rassias stability results of the proposed scheme. Finally, some applications are offered to demonstrate the concept and results. The whole analysis is carried out by using Caputo fractional derivatives (CFDs). | en_US |
| dc.description.sponsorship | Prince Sultan University [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | The third author T. Abdeljawad would like to thank Prince Sultan University for funding this work through the research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM), group number RG-DES-2017-01-17. | en_US |
| dc.identifier.citation | Ali, Arshad...et al. (2020). "Mathematical analysis of nonlocal implicit impulsive problem under caputo fractional boundary conditions", Mathematical Problems in Engineering, Vol. 2020. | en_US |
| dc.identifier.doi | 10.1155/2020/7681479 | |
| dc.identifier.issn | 1024-123X | |
| dc.identifier.issn | 1563-5147 | |
| dc.identifier.scopus | 2-s2.0-85097847378 | |
| dc.identifier.uri | https://doi.org/10.1155/2020/7681479 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14838 | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Ltd | en_US |
| dc.relation.ispartof | Mathematical Problems in Engineering | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.title | Mathematical Analysis of Nonlocal Implicit Impulsive Problem Under Caputo Fractional Boundary Conditions | en_US |
| dc.title | Mathematical analysis of nonlocal implicit impulsive problem under caputo fractional boundary conditions | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
| gdc.author.id | Shah, Kamal/0000-0002-8851-4844 | |
| gdc.author.id | Ali, Arshad/0000-0001-7815-3849 | |
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| gdc.author.wosid | Ali, Arshad/Aft-1065-2022 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| 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 | [Ali, Arshad; Shah, Kamal] Univ Malakand, Dept Math, Dir L, Khyber Pakhtunk, Pakistan; [Gupta, Vidushi] Chandigarh Univ, Dept Math, Chandigarh, Punjab, India; [Abdeljawad, Thabet; Shah, Kamal] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan; [Jarad, Fahd] Cankaya Univ, Dept Math, Ankara, Turkey | en_US |
| gdc.description.endpage | 16 | |
| 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 | Boundary value problems with impulses for ordinary differential equations | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
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| gdc.virtual.author | Abdeljawad, Thabet | |
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