Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/15036
Title: | Sobolev type fractional dynamic equations and Optimal multi-integral controls with fractional nonlocal conditions |
Author: | Debbouche, Amar Torres, Delfim F. M. |
Keywords: | Sobolev type equations Fractional evolution equations Optimal control Nonlocal conditions Mild solutions |
Issue Date: | Feb-2015 |
Publisher: | Springer Verlag |
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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/15036 |
DOI: | 10.1515/fca-2015-0007 |
ISSN: | 1311-0454 |
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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