Utilize este identificador para referenciar este registo:
http://hdl.handle.net/10773/25665
Título: | Analysis of fractional integro-differential equations of thermistor type |
Autor: | Sidi Ammi, Moulay Rchid Torres, Delfim F. M. |
Palavras-chave: | Integral and differential equations Fractional operators Nonlocal thermistor problems Time scales Dynamic equations Positive solutions Local and global existence Fixed-point theorems |
Data: | 2019 |
Editora: | De Gruyter |
Resumo: | We survey methods and results of fractional differential equations in which an unknown function is under the operation of integration and/or differentiation of fractional order. As an illustrative example, we review results as regards fractional integral and differential equations of thermistor type. Several nonlocal problems are considered: problems concerned with Riemann–Liouville, Caputo, and time-scale fractional operators. The existence and uniqueness of positive solutions are obtained through suitable fixed-point theorems in proper Banach spaces. Additionally, existence and continuation theorems are given, ensuring global existence. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/25665 |
DOI: | 10.1515/9783110571622-013 |
ISBN: | 978-3-11-057162-2 |
Versão do Editor: | http://doi.org/10.1515/9783110571622-013 |
Aparece nas coleções: | CIDMA - Capítulo de livro SCG - Capítulo de livro |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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[410]SidiAmmi_Torres-HFCA.pdf | 1.82 MB | Adobe PDF | Ver/Abrir |
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