Boundary Value Problem for Nonlinear Fractional Differential Equations of Variable Order Via Kuratowski Mnc Technique
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Souid, Mohammed Said | |
| dc.contributor.author | Hakem, Ali | |
| dc.contributor.author | Inc, Mustafa | |
| dc.contributor.author | Benkerrouche, Amar | |
| dc.date.accessioned | 2022-03-23T11:57:13Z | |
| dc.date.accessioned | 2025-09-18T12:08:19Z | |
| dc.date.available | 2022-03-23T11:57:13Z | |
| dc.date.available | 2025-09-18T12:08:19Z | |
| dc.date.issued | 2021 | |
| dc.description | Ali, Hakem/0000-0001-6145-4514; Mohammed Said, Souid/0000-0002-4342-5231; Inc, Mustafa/0000-0003-4996-8373 | en_US |
| dc.description.abstract | In the present research study, for a given multiterm boundary value problem (BVP) involving the Riemann-Liouville fractional differential equation of variable order, the existence properties are analyzed. To achieve this aim, we firstly investigate some specifications of this kind of variable-order operators, and then we derive the required criteria to confirm the existence of solution and study the stability of the obtained solution in the sense of Ulam-Hyers-Rassias (UHR). All results in this study are established with the help of the Darbo's fixed point theorem (DFPT) combined with Kuratowski measure of noncompactness (KMNC). We construct an example to illustrate the validity of our observed results. | en_US |
| dc.identifier.citation | Benkerrouche, Amar...et al. (2021). "Boundary value problem for nonlinear fractional differential equations of variable order via Kuratowski MNC technique", Advances in Difference Equations, Vol. 2021, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-021-03520-8 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85111983571 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-021-03520-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11096 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fractional Differential Equations Of Variable Order | en_US |
| dc.subject | Boundary Value Problem | en_US |
| dc.subject | Darbo'S Fixed Point Theorem | en_US |
| dc.subject | Measure Of Noncompactness | en_US |
| dc.subject | Ulam-Hyers-Rassias Stability | en_US |
| dc.subject | 26A33 | en_US |
| dc.subject | 34K37 | en_US |
| dc.title | Boundary Value Problem for Nonlinear Fractional Differential Equations of Variable Order Via Kuratowski Mnc Technique | en_US |
| dc.title | Boundary value problem for nonlinear fractional differential equations of variable order via Kuratowski MNC technique | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Ali, Hakem/0000-0001-6145-4514 | |
| gdc.author.id | Mohammed Said, Souid/0000-0002-4342-5231 | |
| gdc.author.id | Inc, Mustafa/0000-0003-4996-8373 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Hakem, Ali/H-4085-2019 | |
| gdc.author.wosid | Inc, Mustafa/C-4307-2018 | |
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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; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Souid, Mohammed Said] Univ Tiaret, Dept Econ Sci, Tiaret, Algeria; [Inc, Mustafa] Biruni Univ, Dept Comp Engn, Istanbul, Turkey; [Inc, Mustafa] Firat Univ, Sci Fac, Dept Math, TR-23119 Elazig, Turkey; [Inc, Mustafa] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
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| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2021 | en_US |
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