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Regional enlarged observability of Caputo fractional differential equations

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Detalhes bibliográficos
Resumo:We consider the regional enlarged observability problem for fractional evolution differential equations involving Caputo derivatives. Using the Hilbert Uniqueness Method, we show that it is possible to rebuild the initial state between two prescribed functions only in an internal subregion of the whole domain. Finally, an example is provided to illustrate the theory.
Autores principais:Zouiten, Hayat
Outros Autores:Boutoulout, Ali; Torres, Delfim F. M.
Assunto:Fractional evolution systems Caputo time derivatives Enlarged observability Regional reconstruction HUM approach
Ano:2020
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso restrito
Instituição associada:Universidade de Aveiro
Idioma:inglês
Origem:RIA - Repositório Institucional da Universidade de Aveiro
Descrição
Resumo:We consider the regional enlarged observability problem for fractional evolution differential equations involving Caputo derivatives. Using the Hilbert Uniqueness Method, we show that it is possible to rebuild the initial state between two prescribed functions only in an internal subregion of the whole domain. Finally, an example is provided to illustrate the theory.