Stochastic Fractional Perturbed Control Systems With Fractional Brownian Motion and Sobolev Stochastic Non Local Conditions
| dc.contributor.author | Fateh, Ellaggoune | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Mourad, Kerboua | |
| dc.date.accessioned | 2019-12-20T12:35:31Z | |
| dc.date.accessioned | 2025-09-18T16:06:55Z | |
| dc.date.available | 2019-12-20T12:35:31Z | |
| dc.date.available | 2025-09-18T16:06:55Z | |
| dc.date.issued | 2018 | |
| dc.description | Kerboua, Mourad/0000-0001-8244-0269 | en_US |
| dc.description.abstract | This paper investigates the approximate controllability for Sobolev type stochastic perturbed control systems of fractional order with fractional Brownian motion and Sobolev fractional stochastic nonlocal conditions in a Hilbert space, A new set of sufficient conditions are established by using semigroup theory, fractional calculus, stochastic integrals for fractional Brownian motion, Banach's fixed point theorem. The results are obtained under the assumption that the associated linear system is approximately controllable. Finally, an example is also given to illustrate the obtained theory. | en_US |
| dc.identifier.citation | Mourad, Kerboua; Fateh, Ellaggoune; Baleanu, Dumitru (2018). Stochastic fractional perturbed control systems with fractional Brownian motion and Sobolev stochastic non local conditions, Collectanea Mathematica, 69(2), 283-296. | en_US |
| dc.identifier.doi | 10.1007/s13348-017-0207-5 | |
| dc.identifier.issn | 0010-0757 | |
| dc.identifier.issn | 2038-4815 | |
| dc.identifier.scopus | 2-s2.0-85044969469 | |
| dc.identifier.uri | https://doi.org/10.1007/s13348-017-0207-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14629 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer-verlag Italia Srl | en_US |
| dc.relation.ispartof | Collectanea Mathematica | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Approximate Controllability | en_US |
| dc.subject | Perturbed Control Systems | en_US |
| dc.subject | Fractional Stochastic System | en_US |
| dc.subject | Fixed Point Technique | en_US |
| dc.subject | Stochastic Nonlocal Condition | en_US |
| dc.subject | Fractional Brownian Motion | en_US |
| dc.title | Stochastic Fractional Perturbed Control Systems With Fractional Brownian Motion and Sobolev Stochastic Non Local Conditions | en_US |
| dc.title | Stochastic fractional perturbed control systems with fractional Brownian motion and Sobolev stochastic non local conditions | 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 | Kerboua, Mourad/I-1856-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Mourad, Kerboua; Fateh, Ellaggoune] 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 | 296 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 283 | en_US |
| gdc.description.volume | 69 | en_US |
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| gdc.oaire.keywords | Controllability | |
| gdc.oaire.keywords | Singular Perturbation | |
| gdc.oaire.keywords | Semigroup | |
| gdc.oaire.keywords | Stochastic partial differential equation | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Fractional Brownian motion | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | Stochastic calculus | |
| gdc.oaire.keywords | Numerical Methods for Singularly Perturbed Problems | |
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| gdc.oaire.keywords | Numerical Analysis | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Statistics | |
| gdc.oaire.keywords | Fractional calculus | |
| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | Sobolev space | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Modeling and Simulation | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Brownian motion | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Nonlinear Systems | |
| gdc.oaire.keywords | fractional Brownian motion | |
| gdc.oaire.keywords | Stochastic partial differential equations (aspects of stochastic analysis) | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | stochastic nonlocal condition | |
| gdc.oaire.keywords | Fractional processes, including fractional Brownian motion | |
| gdc.oaire.keywords | approximate controllability | |
| gdc.oaire.keywords | fractional stochastic system | |
| gdc.oaire.keywords | fixed point technique | |
| gdc.oaire.keywords | perturbed control systems | |
| gdc.oaire.keywords | Sobolev (and similar kinds of) spaces of functions of discrete variables | |
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