On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order α∈(1,2)

We study the Mittag-Leffler and class-K function stability of fractional differential equations with order α∈(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 ex...

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Bibliographic Details
Main Authors: Mohammed M. Matar, Esmail S. Abu Skhail
Format: Article
Language:English
Published: Wiley 2018-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2018/1723481
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Summary:We study the Mittag-Leffler and class-K function stability of fractional differential equations with order α∈(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.
ISSN:2314-4629
2314-4785