Approximate Controllability of Sobolev Type Fractional Stochastic Nonlocal Nonlinear Differential Equations in Hilbert Spaces
| dc.contributor.author | Debbouche, Amar | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Kerboua, Mourad | |
| dc.date.accessioned | 2017-03-15T07:51:48Z | |
| dc.date.accessioned | 2025-09-18T14:09:52Z | |
| dc.date.available | 2017-03-15T07:51:48Z | |
| dc.date.available | 2025-09-18T14:09:52Z | |
| dc.date.issued | 2014 | |
| dc.description | Kerboua, Mourad/0000-0001-8244-0269 | en_US |
| dc.description.abstract | We introduce a new notion called fractional stochastic nonlocal condition, and then we study approximate controllability of class of fractional stochastic nonlinear differential equations of Sobolev type in Hilbert spaces. We use Holder's inequality, fixed point technique, fractional calculus, stochastic analysis and methods adopted directly from deterministic control problems for the main results. A new set of sufficient conditions is formulated and proved for the fractional stochastic control system to be approximately controllable. An example is given to illustrate the abstract results. | en_US |
| dc.identifier.citation | Kerboua, M., Debbouche, A., Baleanu, D. (2014). Approximate controllability of Sobolev type fractional stochastic nonlocal nonlinear differential equations in Hilbert spaces. Electronic Journal Of Qualitative Theory Of Differential Equations, (58), 1-16. | en_US |
| dc.identifier.doi | 10.14232/ejqtde.2014.1.58 | |
| dc.identifier.issn | 1417-3875 | |
| dc.identifier.scopus | 2-s2.0-84916618623 | |
| dc.identifier.uri | https://doi.org/10.14232/ejqtde.2014.1.58 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13515 | |
| dc.language.iso | en | en_US |
| dc.publisher | Univ Szeged, Bolyai institute | en_US |
| dc.relation.ispartof | Electronic Journal of Qualitative Theory of Differential Equations | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Approximate Controllability | en_US |
| dc.subject | Fractional Sobolev Type Equation | en_US |
| dc.subject | Stochastic System | en_US |
| dc.subject | Fixed Point Technique | en_US |
| dc.subject | Fractional Stochastic Nonlocal Condition | en_US |
| dc.subject | Holder'S Inequality | en_US |
| dc.title | Approximate Controllability of Sobolev Type Fractional Stochastic Nonlocal Nonlinear Differential Equations in Hilbert Spaces | en_US |
| dc.title | Approximate controllability of Sobolev type fractional stochastic nonlocal nonlinear differential equations in Hilbert spaces | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Kerboua, Mourad/0000-0001-8244-0269 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Debbouche, Amar/J-7652-2018 | |
| gdc.author.wosid | Kerboua, Mourad/I-1856-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Kerboua, Mourad; Debbouche, Amar] Guelma Univ, Dept Math, Guelma 24000, Algeria; [Baleanu, Dumitru] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 16 | en_US |
| gdc.description.issue | 58 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 1 | en_US |
| gdc.description.volume | 2014 | en_US |
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| gdc.oaire.keywords | fixed point technique | |
| gdc.oaire.keywords | QA1-939 | |
| gdc.oaire.keywords | approximate controllability | |
| gdc.oaire.keywords | fractional sobolev type equation | |
| gdc.oaire.keywords | stochastic system | |
| gdc.oaire.keywords | fractional stochastic nonlocal condition; hölder's inequality | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Controllability | |
| gdc.oaire.keywords | Stochastic functional-differential equations | |
| gdc.oaire.keywords | Hölder's inequality | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | fractional stochastic nonlocal condition | |
| gdc.oaire.keywords | fractional Sobolev type equation | |
| gdc.oaire.keywords | Sobolev (and similar kinds of) spaces of functions of discrete variables | |
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