Semigroup property of fractional differential operators and its applications
Abstract
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
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2021
- DOI:
- 10.48550/arXiv.2107.08914
- arXiv:
- arXiv:2107.08914
- Bibcode:
- 2021arXiv210708914C
- Keywords:
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- Mathematics - Classical Analysis and ODEs;
- 34A08;
- 34A12