Topology Degree Results on a G-Abc Implicit Fractional Differential Equation Under Three-Point Boundary Conditions
| dc.contributor.author | Rezapour, Shahram | |
| dc.contributor.author | Thabet, Sabri T. M. | |
| dc.contributor.author | Rafeeq, Ava Sh. | |
| dc.contributor.author | Kedim, Imed | |
| dc.contributor.author | Vivas-Cortez, Miguel | |
| dc.contributor.author | Aghazadeh, Nasser | |
| dc.date.accessioned | 2024-09-24T15:47:37Z | |
| dc.date.available | 2024-09-24T15:47:37Z | |
| dc.date.issued | 2024 | |
| dc.description | kedim, Imed/0000-0002-4791-9730; Vivas-Cortez, Miguel/0000-0002-1567-0264; Thabet, Sabri T.M./0000-0002-4568-9732; Aghazadeh, Nasser/0000-0003-2705-8942 | en_US |
| dc.description.abstract | This research manuscript aims to study a novel implicit differential equation in the non-singular fractional derivatives sense, namely Atangana-Baleanu-Caputo (A B C) of arbitrary orders belonging to the interval (2, 3] with respect to another positive and increasing function. The major results of the existence and uniqueness are investigated by utilizing the Banach and topology degree theorems. The stability of the Ulam-Hyers (U H) type is analyzed by employing the topics of nonlinear analysis. Finally, two examples are constructed and enhanced with some special cases as well as illustrative graphics for checking the influence of major outcomes. | en_US |
| dc.description.sponsorship | Pontificia Universidad Catolica del Ecuador, Proyecto Titulo: "Algunos resultados Cualitativos sobre Ecuaciones diferenciales fraccionales y desigualdades integrales" [UIO2022]; Prince Sattam bin Abdulaziz University [PSAU/2024/R/1445] | en_US |
| dc.description.sponsorship | Pontificia Universidad Catolica del Ecuador, Proyecto Titulo: "Algunos resultados Cualitativos sobre Ecuaciones diferenciales fraccionales y desigualdades integrales" (Cod UIO2022 to M. V-C). This study is supported via funding from Prince Sattam bin Abdulaziz University project number (PSAU/2024/R/1445 to I. K.). | en_US |
| dc.identifier.doi | 10.1371/journal.pone.0300590 | |
| dc.identifier.issn | 1932-6203 | |
| dc.identifier.scopus | 2-s2.0-85197209051 | |
| dc.identifier.uri | https://doi.org/10.1371/journal.pone.0300590 | |
| dc.identifier.uri | https://hdl.handle.net/11147/14688 | |
| dc.language.iso | en | en_US |
| dc.publisher | Public Library Science | en_US |
| dc.relation.ispartof | PLOS ONE | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | [No Keyword Available] | en_US |
| dc.title | Topology Degree Results on a G-Abc Implicit Fractional Differential Equation Under Three-Point Boundary Conditions | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | kedim, Imed/0000-0002-4791-9730 | |
| gdc.author.id | Vivas-Cortez, Miguel/0000-0002-1567-0264 | |
| gdc.author.id | Thabet, Sabri T.M./0000-0002-4568-9732 | |
| gdc.author.id | Aghazadeh, Nasser/0000-0003-2705-8942 | |
| gdc.author.id | kedim, Imed / 0000-0002-4791-9730 | en_US |
| gdc.author.id | Vivas-Cortez, Miguel / 0000-0002-1567-0264 | en_US |
| gdc.author.id | Thabet, Sabri T.M. / 0000-0002-4568-9732 | en_US |
| gdc.author.id | Aghazadeh, Nasser / 0000-0003-2705-8942 | en_US |
| gdc.author.scopusid | 55935081600 | |
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| gdc.author.wosid | kedim, Imed/HPC-0230-2023 | |
| gdc.author.wosid | Vivas-Cortez, Miguel/AAC-9992-2019 | |
| gdc.author.wosid | Thabet, Sabri T.M./X-9393-2019 | |
| gdc.author.wosid | Aghazadeh, Nasser/Q-6551-2019 | |
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| gdc.description.department | Izmir Institute of Technology | en_US |
| gdc.description.departmenttemp | [Rezapour, Shahram] Duy Tan Univ, Inst Res & Dev, Da Nang, Vietnam; [Rezapour, Shahram] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran; [Rezapour, Shahram] Insurance Res Ctr IRC, Tehran, Iran; [Rezapour, Shahram] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Thabet, Sabri T. M.] Saveetha Univ, Saveetha Inst Med & Tech Sci, Saveetha Sch Engn, Dept Math, Chennai, Tamil Nadu, India; [Thabet, Sabri T. M.] Univ Lahej, Radfan Univ Coll, Dept Math, Lahej, Yemen; [Thabet, Sabri T. M.] Korea Univ, Coll Sci, Dept Math, Seoul, South Korea; [Rafeeq, Ava Sh.] Univ Zakho, Coll Sci, Dept Math, Duhok, Iraq; [Kedim, Imed] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj, Saudi Arabia; [Vivas-Cortez, Miguel] Pontifical Catholic Univ Ecuador, Fac Exact & Nat Sci, Sch Phys & Math Sci, Sede Quito, Ecuador; [Aghazadeh, Nasser] Izmir Inst Technol, Dept Math, Izmir, Turkiye | en_US |
| gdc.description.issue | 7 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.volume | 19 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q2 | |
| gdc.identifier.openalex | W4400190862 | |
| gdc.identifier.pmid | 38950034 | |
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| gdc.oaire.keywords | Nonlinear Dynamics | |
| gdc.oaire.keywords | Models, Theoretical | |
| gdc.oaire.keywords | Algorithms | |
| gdc.oaire.keywords | Research Article | |
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