On the Nonlinear Dynamical Systems Within the Generalized Fractional Derivatives With Mittag-Leffler Kernel
| dc.contributor.author | Jajarmi, Amin | |
| dc.contributor.author | Hajipour, Mojtaba | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2020-03-24T11:22:03Z | |
| dc.date.accessioned | 2025-09-18T12:05:00Z | |
| dc.date.available | 2020-03-24T11:22:03Z | |
| dc.date.available | 2025-09-18T12:05:00Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | The purpose of this paper is to study the existence and uniqueness of the solution of nonlinear fractional differential equations with Mittag-Leffler nonsingular kernel. Two numerical methods to solve this problem are designed, and their stability and error estimates are investigated by discretizing the convolution integral and using the Gronwall's inequality. Finally, the theoretical results are verified by using five illustrative examples. | en_US |
| dc.identifier.citation | Baleanu, Dumitru; Jajarmi, Amin; Hajipour, Mojtaba, "On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag-Leffler kernel", Nonlinear Dynamics, Vol. 94, No. 1, pp. 397-414, (2018). | en_US |
| dc.identifier.doi | 10.1007/s11071-018-4367-y | |
| dc.identifier.issn | 0924-090X | |
| dc.identifier.issn | 1573-269X | |
| dc.identifier.scopus | 2-s2.0-85047421556 | |
| dc.identifier.uri | https://doi.org/10.1007/s11071-018-4367-y | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10481 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Nonlinear Dynamics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Differential Equation | en_US |
| dc.subject | Mittag-Leffler Function | en_US |
| dc.subject | Nonsingular Kernel | en_US |
| dc.subject | Numerical Method D | en_US |
| dc.title | On the Nonlinear Dynamical Systems Within the Generalized Fractional Derivatives With Mittag-Leffler Kernel | en_US |
| dc.title | On the nonlinear dynamical systems within the generalized fractional derivatives with Mittag-Leffler kernel | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Jajarmi, Amin/O-7701-2019 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, POB MG-23, Bucharest 76900, Romania; [Jajarmi, Amin] Univ Bojnord, Dept Elect Engn, POB 94531-1339, Bojnord, Iran; [Hajipour, Mojtaba] Sahand Univ Technol, Dept Math, POB 51335-1996, Tabriz, Iran | en_US |
| gdc.description.endpage | 414 | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 397 | en_US |
| gdc.description.volume | 94 | en_US |
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| gdc.oaire.keywords | Mittag-Leffler function | |
| gdc.oaire.keywords | fractional differential equation | |
| gdc.oaire.keywords | nonsingular kernel | |
| gdc.oaire.keywords | numerical method | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
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