A Uniqueness Criterion for Fractional Differential Equations With Caputo Derivative
| dc.contributor.author | Mustafa, Octavian G. | |
| dc.contributor.author | O'Regan, Donal | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2017-03-13T12:46:44Z | |
| dc.date.accessioned | 2025-09-18T12:04:33Z | |
| dc.date.available | 2017-03-13T12:46:44Z | |
| dc.date.available | 2025-09-18T12:04:33Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | We investigate the uniqueness of solutions to an initial value problem associated with a nonlinear fractional differential equation of order alpha a(0,1). The differential operator is of Caputo type whereas the nonlinearity cannot be expressed as a Lipschitz function. Instead, the Riemann-Liouville derivative of this nonlinearity verifies a special inequality. | en_US |
| dc.description.sponsorship | Romanian National Authority for Scientific Research, CNCS-UEFISCDI [PN-II-ID-PCE-2011-3-0257] | en_US |
| dc.description.sponsorship | The work of the second author has been supported by a grant of the Romanian National Authority for Scientific Research, CNCS-UEFISCDI, project number PN-II-ID-PCE-2011-3-0257. | en_US |
| dc.identifier.citation | Baleanu, D., Mustafa, O.G., O'regan, D. (2013). A uniqueness criterion for fractional differential equations with Caputo derivative. Nonlinear Dynamics, 71(4), 635-640. http://dx.doi.org/10.1007/s11071-012-0449-4 | en_US |
| dc.identifier.doi | 10.1007/s11071-012-0449-4 | |
| dc.identifier.issn | 0924-090X | |
| dc.identifier.issn | 1573-269X | |
| dc.identifier.scopus | 2-s2.0-84893149198 | |
| dc.identifier.uri | https://doi.org/10.1007/s11071-012-0449-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10380 | |
| 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 | Uniqueness Of Solution | en_US |
| dc.subject | Caputo Differential Operator | en_US |
| dc.subject | Riemann-Liouville Derivative | en_US |
| dc.title | A Uniqueness Criterion for Fractional Differential Equations With Caputo Derivative | en_US |
| dc.title | A uniqueness criterion for fractional differential equations with Caputo derivative | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 7004046718 | |
| gdc.author.scopusid | 36049459000 | |
| gdc.author.wosid | O'Regan, Donal/I-3184-2015 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.bip.impulseclass | C4 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C5 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Bucuresti, Romania; [Mustafa, Octavian G.] Univ Craiova, Fac Exact Sci, Craiova 200534, Romania; [O'Regan, Donal] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland | en_US |
| gdc.description.endpage | 640 | en_US |
| gdc.description.issue | 4 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 635 | en_US |
| gdc.description.volume | 71 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2066651108 | |
| gdc.identifier.wos | WOS:000315437600005 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 6.0 | |
| gdc.oaire.influence | 3.5203713E-9 | |
| gdc.oaire.isgreen | false | |
| gdc.oaire.keywords | Caputo differential operator | |
| gdc.oaire.keywords | Riemann-Liouville derivative | |
| gdc.oaire.keywords | fractional differential equation | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations | |
| gdc.oaire.keywords | uniqueness of solution | |
| gdc.oaire.popularity | 1.7141149E-9 | |
| gdc.oaire.publicfunded | true | |
| gdc.oaire.sciencefields | 0103 physical sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 2.39586576 | |
| gdc.openalex.normalizedpercentile | 0.88 | |
| gdc.opencitations.count | 7 | |
| gdc.plumx.crossrefcites | 5 | |
| gdc.plumx.mendeley | 10 | |
| gdc.plumx.scopuscites | 8 | |
| gdc.publishedmonth | 3 | |
| gdc.scopus.citedcount | 8 | |
| gdc.virtual.author | Mustafa, Genghiz Octavian | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 9 | |
| relation.isAuthorOfPublication | 666ca8b3-5f8e-4f44-804e-8ad944bc2938 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | 666ca8b3-5f8e-4f44-804e-8ad944bc2938 | |
| relation.isOrgUnitOfPublication | 26a93bcf-09b3-4631-937a-fe838199f6a5 | |
| relation.isOrgUnitOfPublication | 28fb8edb-0579-4584-a2d4-f5064116924a | |
| relation.isOrgUnitOfPublication | 0b9123e4-4136-493b-9ffd-be856af2cdb1 | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 26a93bcf-09b3-4631-937a-fe838199f6a5 |