On Boundary Value Problems of Caputo Fractional Differential Equation of Variable Order Via Kuratowski Mnc Technique
| dc.contributor.author | Souid, Mohammed Said | |
| dc.contributor.author | Hakem, Ali | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Benkerrouche, Amar | |
| dc.date.accessioned | 2024-04-29T12:21:52Z | |
| dc.date.accessioned | 2025-09-18T12:48:55Z | |
| dc.date.available | 2024-04-29T12:21:52Z | |
| dc.date.available | 2025-09-18T12:48:55Z | |
| dc.date.issued | 2022 | |
| dc.description | Mohammed Said, Souid/0000-0002-4342-5231; Ali, Hakem/0000-0001-6145-4514 | en_US |
| dc.description.abstract | In this manuscript, we examine both the existence and the stability of solutions to the boundary value problem of Caputo fractional differential equations of variable order by converting it into an equivalent standard Caputo boundary value problem of the fractional constant order with the help of the generalized intervals and the piece-wise constant functions. All results in this study are established using Darbo's fixed point theorem combined with the Kuratowski measure of noncompactness. Further, the Ulam-Hyers stability of the given problem is examined; and finally, we construct an example to illustrate the validity of the observed results. | en_US |
| dc.identifier.citation | Benkerrouche, Amar;...et.al. (2022). "On boundary value problems of Caputo fractional differential equation of variable order via Kuratowski MNC technique", Advances in Continuous and Discrete Models, Vol.2022, No.1. | en_US |
| dc.identifier.doi | 10.1186/s13662-022-03715-7 | |
| dc.identifier.issn | 2731-4235 | |
| dc.identifier.scopus | 2-s2.0-85131621352 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-022-03715-7 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12192 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Continuous and Discrete Models | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Caputo Fractional Derivative Of Variable Order | en_US |
| dc.subject | Darbo'S Fixed Point Theorem | en_US |
| dc.subject | Measure Of Noncompactness | en_US |
| dc.subject | Ulam-Hyers Stability | en_US |
| dc.title | On Boundary Value Problems of Caputo Fractional Differential Equation of Variable Order Via Kuratowski Mnc Technique | en_US |
| dc.title | On boundary value problems of Caputo fractional differential equation of variable order via Kuratowski MNC technique | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Mohammed Said, Souid/0000-0002-4342-5231 | |
| gdc.author.id | Ali, Hakem/0000-0001-6145-4514 | |
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| gdc.author.wosid | Hakem, Ali/H-4085-2019 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Benkerrouche, Amar; Hakem, Ali] Univ Djillali Liabes Sidi Bel Abbes, Lab ACEDP, Sidi Bel Abbes, Algeria; [Souid, Mohammed Said] Univ Tiaret, Dept Econ Sci, Tiaret, Algeria; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Jarad, Fahd] King Abdulaziz Univ, Dept Math, Jeddah, Saudi Arabia; [Jarad, Fahd] China Med Univ, Dept Med Res, Taichung 40402, Taiwan | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 2022 | en_US |
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| gdc.oaire.keywords | Economics | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
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