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arXiv · 2107.08914

Semigroup property of fractional differential operators and its applications

N. D. Cong
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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

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N. D. Cong. 2021-07-19. Semigroup property of fractional differential operators and its applications. https://arxiv.org/abs/2107.08914

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