Stability Analysis for a Nonlinear Coupled System of Fractional Hybrid Delay Differential Equations
| dc.contributor.author | Shah, Kamal | |
| dc.contributor.author | Rahman, Ghaus Ur | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Ahmad, Israr | |
| dc.date.accessioned | 2021-01-19T12:33:42Z | |
| dc.date.accessioned | 2025-09-18T12:47:53Z | |
| dc.date.available | 2021-01-19T12:33:42Z | |
| dc.date.available | 2025-09-18T12:47:53Z | |
| dc.date.issued | 2020 | |
| dc.description | Ur Rahman, Ghaus/0000-0002-3168-181X; Shah, Kamal/0000-0002-8851-4844 | en_US |
| dc.description.abstract | The main objective of this research work is to establish existence results as well as to study qualitative aspects of the proposed coupled system of fractional hybrid delay differential equations (FHDDEs). Using the hybrid fixed point theory, we establish appropriate results for the existence of at least one solution to our problem. The powerful tools of functional analysis and dynamical systems are applied to derive different kinds of stability analysis. These include Ulam-Hyers (UH), generalized Ulam-Hyers (GUH), Ulam-Hyers-Rassias (UHR), and generalized Ulam-Hyers-Rassias (GUHR). In order to provide the authenticity of the our results, an illustrative example is given to wind up the present research work. | en_US |
| dc.identifier.citation | Ahmad, Israr...et al. (2020). "Stability analysis for a nonlinear coupled system of fractional hybrid delay differential equations", Mathematical Methods in the Applied Sciences, Vol. 43, No. 15, pp. 8669-8682. | en_US |
| dc.identifier.doi | 10.1002/mma.6526 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85084560522 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.6526 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11919 | |
| 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 | Coupled System | en_US |
| dc.subject | Fhddes | en_US |
| dc.subject | Hybrid Fixed Point Theorem | en_US |
| dc.subject | Stability | en_US |
| dc.title | Stability Analysis for a Nonlinear Coupled System of Fractional Hybrid Delay Differential Equations | en_US |
| dc.title | Stability analysis for a nonlinear coupled system of fractional hybrid delay differential equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Ur Rahman, Ghaus/0000-0002-3168-181X | |
| gdc.author.id | Shah, Kamal/0000-0002-8851-4844 | |
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| gdc.author.wosid | Ahmad, Israr/Glv-4619-2022 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Shah, Kamal/S-8662-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ahmad, Israr; Shah, Kamal] Univ Malakand, Dept Math, Chakdara, Khyber Pakhtunk, Pakistan; [Rahman, Ghaus Ur] Univ Swat, Dept Math & Stat, Mingora, Khyber Pakhtunk, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania | en_US |
| gdc.description.endpage | 8682 | en_US |
| gdc.description.issue | 15 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 8669 | en_US |
| gdc.description.volume | 43 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | hybrid fixed point theorem | |
| gdc.oaire.keywords | Perturbations of functional-differential equations | |
| gdc.oaire.keywords | Applications of operator theory to differential and integral equations | |
| gdc.oaire.keywords | FHDDEs | |
| gdc.oaire.keywords | stability | |
| gdc.oaire.keywords | Functional-differential equations with fractional derivatives | |
| gdc.oaire.keywords | coupled system | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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