On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order
| dc.contributor.author | Benkerrouche, Amar | |
| dc.contributor.author | Souid, Mohammed Said | |
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Hakem, Ali | |
| dc.date.accessioned | 2024-01-29T13:45:45Z | |
| dc.date.accessioned | 2025-09-18T13:26:34Z | |
| dc.date.available | 2024-01-29T13:45:45Z | |
| dc.date.available | 2025-09-18T13:26:34Z | |
| dc.date.issued | 2023 | |
| 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, uniqueness, and the stability of solutions to the boundary value problem (BVP) of Hadamard fractional differential equations of variable order by converting it into an equivalent standard Hadamard (BVP) of the fractional constant order with the help of the generalized intervals and the piecewise constant functions. All results in this study are established using Krasnoselskii fixed-point theorem and the Banach contraction principle. 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. (2023). "On the boundary value problems of Hadamard fractional differential equations of variable order", Mathematical Methods in the Applied Sciences, Vol.42, No.3, pp.3187-3203. | en_US |
| dc.identifier.doi | 10.1002/mma.8306 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85128425380 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.8306 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12655 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Boundary Value Problem | en_US |
| dc.subject | Derivatives And Integrals Of Variable Order | en_US |
| dc.subject | Fixed-Point Theorem | en_US |
| dc.subject | Hadamard Derivative | en_US |
| dc.subject | Piecewise Constant Functions | en_US |
| dc.subject | Ulam-Rassias Stability | en_US |
| dc.title | On the Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order | en_US |
| dc.title | On the boundary value problems of Hadamard fractional differential equations of variable order | 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 | Karapinar, Erdal/H-3177-2011 | |
| gdc.author.wosid | Hakem, Ali/H-4085-2019 | |
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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; [Karapinar, Erdal] Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, Vietnam; [Karapinar, Erdal] Cankaya Univ, Dept Math, Ankara, Turkey; [Karapinar, Erdal] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.endpage | 3203 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 3187 | en_US |
| gdc.description.volume | 46 | en_US |
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| gdc.oaire.keywords | piecewise constant functions | |
| gdc.oaire.keywords | Fixed-point theorems | |
| gdc.oaire.keywords | Nonlinear boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | Ulam-Rassias stability | |
| gdc.oaire.keywords | boundary value problem | |
| gdc.oaire.keywords | Perturbations of ordinary differential equations | |
| gdc.oaire.keywords | fixed-point theorem | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | derivatives and integrals of variable order | |
| gdc.oaire.keywords | Hadamard derivative | |
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| gdc.virtual.author | Karapınar, Erdal | |
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