Hopf Bifurcation for a Class of Fractional Differential Equations With Delay
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Khanbabaie, Reza | |
| dc.contributor.author | Babakhani, Azizollah | |
| dc.date.accessioned | 2017-02-21T11:11:13Z | |
| dc.date.accessioned | 2025-09-18T12:09:01Z | |
| dc.date.available | 2017-02-21T11:11:13Z | |
| dc.date.available | 2025-09-18T12:09:01Z | |
| dc.date.issued | 2012 | |
| dc.description | Babakhani, Azizollah/0000-0002-5342-1322 | en_US |
| dc.description.abstract | The main purpose of this manuscript is to prove the existence of solutions for delay fractional order differential equations (FDE) at the neighborhood of its equilibrium point. After we convert the delay FDE into linear delay FDE by using its equilibrium point, we define the 1:2 resonant double Hopf point set with its characteristic equation. We find the members of this set in different cases. The bifurcation curves for a class of delay FDE are obtained within a differential operator of Caputo type with the lower terminal at -a. | en_US |
| dc.identifier.citation | Babakhani, A., Baleanu, D., Khanbabaie, R. (2012). Hopf bifurcation for a class of fractional differential equations with delay. Nonlinear Dynamics, 69(3), 721-729. http://dx.doi.org/ 10.1007/s11071-011-0299-5 | en_US |
| dc.identifier.doi | 10.1007/s11071-011-0299-5 | |
| dc.identifier.issn | 0924-090X | |
| dc.identifier.issn | 1573-269X | |
| dc.identifier.scopus | 2-s2.0-84863901858 | |
| dc.identifier.uri | https://doi.org/10.1007/s11071-011-0299-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11278 | |
| 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 Calculus | en_US |
| dc.subject | Hopf Bifurcation | en_US |
| dc.title | Hopf Bifurcation for a Class of Fractional Differential Equations With Delay | en_US |
| dc.title | Hopf bifurcation for a class of fractional differential equations with delay | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Babakhani, Azizollah/0000-0002-5342-1322 | |
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| gdc.author.wosid | Babakhani, Azizollah/Aag-7815-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Babakhani, Azizollah; Khanbabaie, Reza] Babol Univ Technol, Fac Basic Sci, Babol Sar 4714871167, Iran; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele 76900, Romania | en_US |
| gdc.description.endpage | 729 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 721 | en_US |
| gdc.description.volume | 69 | en_US |
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| gdc.oaire.keywords | Stability theory of functional-differential equations | |
| gdc.oaire.keywords | Hopf bifurcation | |
| gdc.oaire.keywords | fractional calculus | |
| gdc.oaire.keywords | Functional-differential equations with fractional derivatives | |
| gdc.oaire.keywords | Bifurcation theory of functional-differential equations | |
| gdc.oaire.keywords | Periodic solutions to functional-differential equations | |
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| gdc.virtual.author | Baleanu, Dumitru | |
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