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Lyapunov-Krasovskii stability theorem for fractional systems with delay. (English) Zbl 1231.34005
Summary: Fractional calculus techniques and methods started to be applied during the last decades in several fields of science and engineering. We study the stability of fractional order nonlinear time-delay systems for Caputo’s derivative and we extended Lyapunov-Krasovskii theorem for the fractional nonlinear systems.

MSC:
34A08 Fractional ordinary differential equations and fractional differential inclusions
34K20 Stability theory of functional-differential equations
34K37 Functional-differential equations with fractional derivatives
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