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 SM ISO690:2012CERBU, Olga, BUTNARU, Dumitru. Lattice of factorization structures L(R). In: Mathematics and Information Technologies: Research and Education, Ed. 2021, 1-3 iulie 2021, Chişinău. Chișinău, Republica Moldova: 2021, p. 21. |
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| Mathematics and Information Technologies: Research and Education 2021 | ||||||
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Conferința "Mathematics and Information Technologies: Research and Education" 2021, Chişinău, Moldova, 1-3 iulie 2021 | ||||||
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| Pag. 21-21 | ||||||
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We consider the following fractional differential inclusionformulawhere F(:; :) : [0; T] £ R ! P(R) is a set-valued map, D¾C F denotes CaputoFabrizio’s fractional derivative of order ¾ 2 (1; 2) and X0;X1 ½ R are closed sets. We prove that the reachable set of a certain variational fractional differential inclusion is a derived cone in the sense of Hestenes to the reachable set of the problem (1). In order to obtain the continuity property in the definition of a derived cone we shall use a continuous version of Filippov’s theorem for solutions of fractional differential inclusions (1). As an application we obtain a sufficient condition for local controllability along a reference trajectory |
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<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Cerbu, O.</dc:creator> <dc:creator>Butnaru, D.</dc:creator> <dc:date>2021</dc:date> <dc:description xml:lang='en'><p>We consider the following fractional differential inclusion</p><p>formula</p><p>where F(:; :) : [0; T] £ R ! P(R) is a set-valued map, D¾C F denotes CaputoFabrizio’s fractional derivative of order ¾ 2 (1; 2) and X0;X1 ½ R are closed sets. We prove that the reachable set of a certain variational fractional differential inclusion is a derived cone in the sense of Hestenes to the reachable set of the problem (1). In order to obtain the continuity property in the definition of a derived cone we shall use a continuous version of Filippov’s theorem for solutions of fractional differential inclusions (1). As an application we obtain a sufficient condition for local controllability along a reference trajectory</p></dc:description> <dc:source>Mathematics and Information Technologies: Research and Education () 21-21</dc:source> <dc:title>Lattice of factorization structures L(R)</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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