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Mittag–Leffler Stability for Impulsive Caputo Fractional Differential Equations

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The stability properties of Caputo fractional differential equations with impulses are studied. Both types of impulses, non-instantaneous impulses as well as instantaneous impulses are considered. The two approaches in the… Click to show full abstract

The stability properties of Caputo fractional differential equations with impulses are studied. Both types of impulses, non-instantaneous impulses as well as instantaneous impulses are considered. The two approaches in the literature for the interpretation ofsolutions of impulsive Caputo fractional differential equations are presented and discussed. A generalization of Mittag–Leffler stability with respect to both types of impulses is given.

Keywords: impulsive caputo; mittag leffler; fractional differential; caputo fractional; differential equations; stability

Journal Title: Differential Equations and Dynamical Systems
Year Published: 2017

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