Semigroup property of fractional differential operators and its applications

We establish partial semigroup property of Riemann-Liouville and Caputo fractional differential operators. Using this result we prove theorems on reduction of multi-term fractional differential systems to single-term and multi-order systems, and prove existence and uniqueness of solution to multi-te...

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Bibliographic Details
Published inarXiv.org
Main Author Cong, N D
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 19.07.2021
Subjects
Differential equations
Mathematics - Classical Analysis and ODEs
Operators (mathematics)
Semigroups
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Summary:We establish partial semigroup property of Riemann-Liouville and Caputo fractional differential operators. Using this result we prove theorems on reduction of multi-term fractional differential systems to single-term and multi-order systems, and prove existence and uniqueness of solution to multi-term Caputo fractional differential systems
ISSN:2331-8422
DOI:10.48550/arxiv.2107.08914