Existence and Uniqueness Theorem for a Class of Delay Differential Equations With Left and Right Caputo Fractional Derivatives
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Jarad, Fahd | |
| dc.date.accessioned | 2020-04-03T13:19:28Z | |
| dc.date.accessioned | 2025-09-18T15:44:16Z | |
| dc.date.available | 2020-04-03T13:19:28Z | |
| dc.date.available | 2025-09-18T15:44:16Z | |
| dc.date.issued | 2008 | |
| dc.description | Abdeljawad, Thabet/0000-0002-8889-3768; Jarad, Fahd/0000-0002-3303-0623 | en_US |
| dc.description.abstract | The existence and uniqueness theorems for functional right-left delay. and left-right advanced fractional functional differential equations with bounded delay and advance, respectively, are proved. The continuity with respect to the initial function for these equations is also proved under some Lipschitz kind conditions. The Q-operator is used to transform the delay-type equation to an advanced one and vice versa. An example is given to clarify the results. (C) 2008 American Institute Of Physics. | en_US |
| dc.description.sponsorship | Scientific and Technical Research Council of Turkey | en_US |
| dc.description.sponsorship | This work is partially supported by the Scientific and Technical Research Council of Turkey. | en_US |
| dc.identifier.citation | Abdeljawad, Thabet; Baleanu, Dumitru; Jarad Fahd, "Existence and uniqueness theorem for a class of delay differential equations with left and right Caputo fractional derivatives", Journal Of Mathematical Physics, Vol.49, No.8, (2008). | en_US |
| dc.identifier.doi | 10.1063/1.2970709 | |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.issn | 1089-7658 | |
| dc.identifier.scopus | 2-s2.0-50849097037 | |
| dc.identifier.uri | https://doi.org/10.1063/1.2970709 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14230 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Physics | en_US |
| dc.relation.ispartof | Journal of Mathematical Physics | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.title | Existence and Uniqueness Theorem for a Class of Delay Differential Equations With Left and Right Caputo Fractional Derivatives | en_US |
| dc.title | Existence and uniqueness theorem for a class of delay differential equations with left and right Caputo fractional derivatives | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
| gdc.author.id | Jarad, Fahd/0000-0002-3303-0623 | |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdeljawad, Thabet; Baleanu, Dumitru; Jarad, Fahd] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey | en_US |
| gdc.description.issue | 8 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 49 | en_US |
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| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations | |
| gdc.oaire.keywords | General theory of functional-differential equations | |
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| gdc.virtual.author | Abdeljawad, Thabet | |
| gdc.virtual.author | Baleanu, Dumitru | |
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