Low-Regret Control for a Fractional Wave Equation With Incomplete Data
| dc.contributor.author | Joseph, Claire | |
| dc.contributor.author | Mophou, Gisele | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2018-09-27T07:44:25Z | |
| dc.date.accessioned | 2025-09-18T12:05:20Z | |
| dc.date.available | 2018-09-27T07:44:25Z | |
| dc.date.available | 2025-09-18T12:05:20Z | |
| dc.date.issued | 2016 | |
| dc.description | Mophou, Gisele/0000-0001-7949-8152 | en_US |
| dc.description.abstract | We investigate in this manuscript an optimal control problem for a fractional wave equation involving the fractional Riemann-Liouville derivative and with missing initial condition. For this purpose, we use the concept of no-regret and low-regret controls. Assuming that the missing datum belongs to a certain space we show the existence and the uniqueness of the low-regret control. Besides, its convergence to the no-regret control is discussed together with the optimality system describing the no-regret control. | en_US |
| dc.description.sponsorship | Region Martinique (FWI) | en_US |
| dc.description.sponsorship | The authors are grateful to the referees for their valuable suggestions. The work was supported by the Region Martinique (FWI). | en_US |
| dc.identifier.citation | Baleanu, D., Joseph, C., Mophou, G. (2016). Low-regret control for a fractional wave equation with incomplete data. Advances In Difference Equations. http://dx.doi.org/10.1186/s13662-016-0970-8 | en_US |
| dc.identifier.doi | 10.1186/s13662-016-0970-8 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-84988419349 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-016-0970-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10562 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springeropen | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Riemann-Liouville Fractional Derivative | en_US |
| dc.subject | Caputo Fractional Derivative | en_US |
| dc.subject | Optimal Control | en_US |
| dc.subject | No-Regret Control | en_US |
| dc.subject | Low-Regret Control | en_US |
| dc.title | Low-Regret Control for a Fractional Wave Equation With Incomplete Data | en_US |
| dc.title | Low-regret control for a fractional wave equation with incomplete data | tr_TR |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Mophou, Gisele/0000-0001-7949-8152 | |
| gdc.author.scopusid | 7005872966 | |
| gdc.author.scopusid | 56392540300 | |
| gdc.author.scopusid | 25642934200 | |
| gdc.author.wosid | Mophou, Gisele/Aai-3346-2020 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.bip.impulseclass | C4 | |
| gdc.bip.influenceclass | C4 | |
| gdc.bip.popularityclass | C4 | |
| gdc.coar.access | open 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, Fac Arts & Sci, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Joseph, Claire; Mophou, Gisele] Univ Antilles Guyane, Campus Fouillole, Pointe A Pitre 97159, Guadeloupe, France; [Mophou, Gisele] Univ Ouaga, Lab MAINEGE, 06 BP 10347, Ouagadougou 06, Burkina Faso | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2016 | |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2523370930 | |
| gdc.identifier.wos | WOS:000391478100001 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus | |
| gdc.oaire.accesstype | GOLD | |
| gdc.oaire.diamondjournal | false | |
| gdc.oaire.impulse | 7.0 | |
| gdc.oaire.influence | 4.0632284E-9 | |
| gdc.oaire.isgreen | true | |
| gdc.oaire.keywords | low-regret control | |
| gdc.oaire.keywords | Artificial intelligence | |
| gdc.oaire.keywords | Riemann-Liouville fractional derivative | |
| gdc.oaire.keywords | Control (management) | |
| gdc.oaire.keywords | [MATH] Mathematics [math] | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
| gdc.oaire.keywords | Mathematical analysis | |
| gdc.oaire.keywords | optimal control | |
| gdc.oaire.keywords | Differential equation | |
| gdc.oaire.keywords | Numerical Integration Methods for Differential Equations | |
| gdc.oaire.keywords | FOS: Mathematics | |
| gdc.oaire.keywords | [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP] | |
| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Numerical Analysis | |
| gdc.oaire.keywords | Algebra and Number Theory | |
| gdc.oaire.keywords | Caputo fractional derivative | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Mathematical optimization | |
| gdc.oaire.keywords | Statistics | |
| gdc.oaire.keywords | Partial differential equation | |
| gdc.oaire.keywords | Applied mathematics | |
| gdc.oaire.keywords | Computer science | |
| gdc.oaire.keywords | Optimal control | |
| gdc.oaire.keywords | no-regret control | |
| gdc.oaire.keywords | Fractional Derivatives | |
| gdc.oaire.keywords | Regret | |
| gdc.oaire.keywords | Modeling and Simulation | |
| gdc.oaire.keywords | Physical Sciences | |
| gdc.oaire.keywords | Uniqueness | |
| gdc.oaire.keywords | Analysis | |
| gdc.oaire.keywords | Mathematics | |
| gdc.oaire.keywords | Ordinary differential equation | |
| gdc.oaire.keywords | Control/observation systems governed by functional-differential equations | |
| gdc.oaire.keywords | Optimality conditions for problems involving partial differential equations | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.popularity | 8.742508E-9 | |
| gdc.oaire.publicfunded | false | |
| gdc.oaire.sciencefields | 0209 industrial biotechnology | |
| gdc.oaire.sciencefields | 02 engineering and technology | |
| gdc.oaire.sciencefields | 01 natural sciences | |
| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.openalex.collaboration | International | |
| gdc.openalex.fwci | 1.615177 | |
| gdc.openalex.normalizedpercentile | 0.86 | |
| gdc.opencitations.count | 18 | |
| gdc.plumx.crossrefcites | 3 | |
| gdc.plumx.mendeley | 3 | |
| gdc.plumx.scopuscites | 22 | |
| gdc.publishedmonth | 9 | |
| gdc.scopus.citedcount | 23 | |
| gdc.virtual.author | Baleanu, Dumitru | |
| gdc.wos.citedcount | 12 | |
| relation.isAuthorOfPublication | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| relation.isAuthorOfPublication.latestForDiscovery | f4fffe56-21da-4879-94f9-c55e12e4ff62 | |
| 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 |