Mittag-Leffler stability of impulsive differential equations of fractional order

Stamova, Ivanka

doi:10.1090/qam/1394

Author: Ivanka M. Stamova
Journal: Quart. Appl. Math. 73 (2015), 525-535
MSC (2010): Primary 26A33, 34A37, 34D20; Secondary 44A10
DOI: https://doi.org/10.1090/qam/1394
Published electronically: June 12, 2015
MathSciNet review: 3400757
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Abstract: In this paper we consider a nonlinear system of impulsive differential equations of fractional order. Applying the definition of Mittag-Leffler stability introduced by Podlubny and his co-authors and the fractional Lyapunov method, we give sufficient conditions for Mittag-Leffler stability and uniform asymptotic stability of the zero solution of the system under consideration.

References

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