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Asymptotical stability of nonlinear fractional differential system with Caputo derivative - MaRDI portal

Asymptotical stability of nonlinear fractional differential system with Caputo derivative (Q762971)

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scientific article; zbMATH DE number 6013212
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Asymptotical stability of nonlinear fractional differential system with Caputo derivative
scientific article; zbMATH DE number 6013212

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    Asymptotical stability of nonlinear fractional differential system with Caputo derivative (English)
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    8 March 2012
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    Summary: This paper deals with the stability of nonlinear fractional differential systems equipped with the Caputo derivative. At first, a sufficient condition for asymptotical stability is established by using a Lyapunov-like function. Then, fractional differential inequalities and comparison method are applied to the analysis of the stability of fractional differential systems.
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    Lyapunov-like function
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    fractional differential inequalities
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    comparison method
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