On stability of nonautonomous perturbed semilinear fractional differential systems of order \(\alpha \in(1,2)\) (Q1728858)

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scientific article; zbMATH DE number 7029791
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On stability of nonautonomous perturbed semilinear fractional differential systems of order \(\alpha \in(1,2)\)
scientific article; zbMATH DE number 7029791

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    On stability of nonautonomous perturbed semilinear fractional differential systems of order \(\alpha \in(1,2)\) (English)
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    26 February 2019
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    Summary: We study the Mittag-Leffler and class-K function stability of fractional differential equations with order \(\alpha \in(1,2)\). We also investigate the comparison between two systems with Caputo and Riemann-Liouville derivatives. Two examples related to fractional-order Hopfield neural networks with constant external inputs and a marine protected area model are introduced to illustrate the applicability of stability results.
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