Ulam Stability for Delay Fractional Differential Equations With a Generalized Caputo Derivative
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Ameen, Raad | |
| dc.contributor.author | Jarad, Fahd | |
| dc.date.accessioned | 2020-04-13T13:37:51Z | |
| dc.date.accessioned | 2025-09-18T12:49:29Z | |
| dc.date.available | 2020-04-13T13:37:51Z | |
| dc.date.available | 2025-09-18T12:49:29Z | |
| dc.date.issued | 2018 | |
| dc.description | Jarad, Fahd/0000-0002-3303-0623 | en_US |
| dc.description.abstract | The objective of this paper is to extend Ulam-Hyers stability and Ulam-Hyers-Rassias stability theory to differential equations with delay and in the frame of a certain class of a generalized Caputo fractional derivative with dependence on a kernel function. We discuss the conditions such delay generalized Caputo fractional differential equations should satisfy to be stable in the sense of Ulam-Hyers and Ulam-Hyers-Rassias. To demonstrate our results two examples are presented. | en_US |
| dc.description.sponsorship | Prince Sultan University [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | The third author would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics(NAMAM) group number RG-DES-2017-01-17. | en_US |
| dc.identifier.doi | 10.2298/FIL1815265A | |
| dc.identifier.issn | 0354-5180 | |
| dc.identifier.issn | 2406-0933 | |
| dc.identifier.scopus | 2-s2.0-85061452032 | |
| dc.identifier.uri | https://doi.org/10.2298/FIL1815265A | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12357 | |
| dc.language.iso | en | en_US |
| dc.publisher | Univ Nis, Fac Sci Math | en_US |
| dc.relation.ispartof | Filomat | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Generalized Caputo Fractional Derivatives | en_US |
| dc.subject | Ulam-Hyers Stability | en_US |
| dc.subject | Ulam-Hyers-Rassias Stability | en_US |
| dc.title | Ulam Stability for Delay Fractional Differential Equations With a Generalized Caputo Derivative | en_US |
| dc.title | Ulam Stability for Delay Fractional Differential Equations with a Generalized Caputo Derivative | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Jarad, Fahd/0000-0002-3303-0623 | |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Ameen, Raad/Aag-9287-2021 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ameen, Raad] Selcuk Univ, Dept Math, Konya, Turkey; [Jarad, Fahd] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkey; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia | en_US |
| gdc.description.endpage | 5274 | en_US |
| gdc.description.issue | 15 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q3 | |
| gdc.description.startpage | 5265 | en_US |
| gdc.description.volume | 32 | en_US |
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| gdc.oaire.keywords | Ulam-Hyers-Rassias stability | |
| gdc.oaire.keywords | Ulam-Hyers stability | |
| gdc.oaire.keywords | Generalized Caputo fractional derivatives | |
| gdc.oaire.keywords | generalized Caputo fractional derivatives | |
| gdc.oaire.keywords | Perturbations of functional-differential equations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Functional-differential equations with fractional derivatives | |
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| gdc.virtual.author | Abdeljawad, Thabet | |
| gdc.virtual.author | Jarad, Fahd | |
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