The monotonic property and stability of solutions of fractional differential equations (Q640185)

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scientific article; zbMATH DE number 5959710
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The monotonic property and stability of solutions of fractional differential equations
scientific article; zbMATH DE number 5959710

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    The monotonic property and stability of solutions of fractional differential equations (English)
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    17 October 2011
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    The authors improve the monotone property of Lemma 1.7.3 in the book by \textit{V. Lakshmikantham, S. Leela} and \textit{J. Vasundhara Devi} [Theory of fractional dynamic systems. Cambridge: Cambridge Scientific Publishers (2009; Zbl 1188.37002)]. Furthermore, they investigate the Mittag-Leffler stability of solutions of fractional differential equations by using the fractional comparison principle.
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    fractional derivatives
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    fractional differential equations
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    Mittag-Leffler function
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    fractional comparison principle
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    Mittag-Leffler system
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