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http://hdl.handle.net/10773/15036
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Debbouche, Amar | pt |
dc.contributor.author | Torres, Delfim F. M. | pt |
dc.date.accessioned | 2016-01-11T14:30:41Z | - |
dc.date.available | 2018-07-20T14:00:51Z | - |
dc.date.issued | 2015-02 | - |
dc.identifier.issn | 1311-0454 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/15036 | - |
dc.description.abstract | We prove existence and uniqueness of mild solutions to Sobolev type fractional nonlocal dynamic equations in Banach spaces. The Sobolev nonlocal condition is considered in terms of a Riemann-Liouville fractional derivative. A Lagrange optimal control problem is considered, and existence of a multi-integral solution obtained. Main tools include fractional calculus, semigroup theory, fractional power of operators, a singular version of Gronwall's inequality, and Leray-Schauder fixed point theorem. An example illustrating the theory is given. | pt |
dc.language.iso | eng | pt |
dc.publisher | Springer Verlag | pt |
dc.relation | FCT-CIDMA UID/MAT/04106/2013 | pt |
dc.relation | PEst-OE/MAT/UI4106/2014 | pt |
dc.rights | openAccess | por |
dc.subject | Sobolev type equations | pt |
dc.subject | Fractional evolution equations | pt |
dc.subject | Optimal control | pt |
dc.subject | Nonlocal conditions | pt |
dc.subject | Mild solutions | pt |
dc.title | Sobolev type fractional dynamic equations and Optimal multi-integral controls with fractional nonlocal conditions | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 95 | pt |
degois.publication.issue | 1 | pt |
degois.publication.issue | 1 | - |
degois.publication.lastPage | 121 | pt |
degois.publication.title | Fractional Calculus and Applied Analysis | pt |
degois.publication.volume | 18 | pt |
dc.date.embargo | 2016-02-01T14:00:00Z | - |
dc.identifier.doi | 10.1515/fca-2015-0007 | pt |
Appears in Collections: | CIDMA - Artigos |
Files in This Item:
File | Description | Size | Format | |
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1409.6028v1.pdf | 259.26 kB | Adobe PDF | View/Open |
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