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Semigroup property of fractional differential operators and its applications

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  • We establish partial semigroup property of families 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. As an application we obtain existence and uniqueness of solution to multi-term Caputo fractional differential systems.

    Mathematics Subject Classification: Primary: 34A08, 34A12; Secondary: 34L99.

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    [11] G. Vainikko, Which functions are fractionally differentiable?, Z. Anal. Anwend., 35 (2016), 465-487.  doi: 10.4171/ZAA/1574.
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