Impulsive control functional differential systems of fractional order: stability with respect to manifolds |
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Authors: | Martin Bohner Ivanka Stamova Gani Stamov |
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Affiliation: | 1.Missouri S&T, Department of Mathematics and Statistics,Rolla,USA;2.University of Texas at San Antonio, Department of Mathematics,San Antonio,USA;3.Technical University, Department of Mathematics and Physics,Sliven,Bulgaria |
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Abstract: | In this paper, we consider nonlinear impulsive functional differential systems involving Caputo fractional derivatives. Using vector multivariable piecewise continuous Lyapunov functions and a new vector fractional comparison principle, stability criteria with respect to a manifold are established. Some examples are presented in order to illustrate our theoretical findings. |
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