On Dynamic Systems in the Frame of Singular Function Dependent Kernel Fractional Derivatives
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Sene, Ndolane | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Madjidi, Fadila | |
| dc.date.accessioned | 2024-04-29T12:21:57Z | |
| dc.date.accessioned | 2025-09-18T12:09:00Z | |
| dc.date.available | 2024-04-29T12:21:57Z | |
| dc.date.available | 2025-09-18T12:09:00Z | |
| dc.date.issued | 2019 | |
| dc.description | Sene, Ndolane/0000-0002-8664-6464; Abdeljawad, Thabet/0000-0002-8889-3768 | en_US |
| dc.description.abstract | In this article, we discuss the existence and uniqueness theorem for differential equations in the frame of Caputo fractional derivatives with a singular function dependent kernel. We discuss the Mittag-Leffler bounds of these solutions. Using successive approximation, we find a formula for the solution of a special case. Then, using a modified Laplace transform and the Lyapunov direct method, we prove the Mittag-Leffler stability of the considered system. | en_US |
| dc.description.sponsorship | Prince Sultan University [RG-DES2017-01-17] | en_US |
| dc.description.sponsorship | The first 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-DES2017-01-17. | en_US |
| dc.description.sponsorship | Prince Sultan University, PSU, (RG-DES2017-01-17); Prince Sultan University, PSU | |
| dc.description.sponsorship | Funding: The first 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-DES2017-01-17. | |
| dc.identifier.citation | Abdeljawad, Thabet;...et.al. (2019). "On dynamic systems in the frame of singular function dependent kernel fractional derivatives", Mathematics, Vol.7, No.10. | en_US |
| dc.identifier.doi | 10.3390/math7100946 | |
| dc.identifier.issn | 2227-7390 | |
| dc.identifier.scopus | 2-s2.0-85073760984 | |
| dc.identifier.uri | https://doi.org/10.3390/math7100946 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11258 | |
| dc.language.iso | en | en_US |
| dc.publisher | Mdpi | en_US |
| dc.relation.ispartof | Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Generalized Fractional Operators | en_US |
| dc.subject | Mittag-Leffler Bound | en_US |
| dc.subject | Mittag-Leffler Stability | en_US |
| dc.title | On Dynamic Systems in the Frame of Singular Function Dependent Kernel Fractional Derivatives | en_US |
| dc.title | On dynamic systems in the frame of singular function dependent kernel fractional derivatives | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Sene, Ndolane/0000-0002-8664-6464 | |
| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Sene, Ndolane/E-6809-2019 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Madjidi, Fadila] Univ Mohamed Boudiaf, Dept Math, PB 166, Msila 28000, Algeria; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey; [Sene, Ndolane] Univ Cheikh Anta Diop Dakar, Fac Sci Econom & Gest, Dept Math Decis, Lab Lmdan, BP 5683, Dakar, Senegal | en_US |
| gdc.description.issue | 10 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 946 | |
| gdc.description.volume | 7 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | generalized fractional operators | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | Mittag-Leffler stability | |
| gdc.oaire.keywords | Mittag-Leffler bound | |
| gdc.oaire.keywords | mittag-leffler stability | |
| gdc.oaire.keywords | mittag-leffler bound | |
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