Semigroup property of fractional differential operators and its applications
Classical Analysis and ODEs
2021-07-20 v1
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
Keywords
Cite
@article{arxiv.2107.08914,
title = {Semigroup property of fractional differential operators and its applications},
author = {N. D. Cong},
journal= {arXiv preprint arXiv:2107.08914},
year = {2021}
}