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Integral manifolds of impulsive fractional functional differential systems. (English) Zbl 1321.34093

Summary: A class of impulsive Caputo fractional functional differential systems with variable impulsive perturbations is investigated. Sufficient conditions for the existence of integral manifolds are obtained. The main results are proved by means of piecewise continuous Lyapunov functions and the fractional comparison principle. The demonstrated techniques can be applied in studying properties of many applied problems of diverse interest.

MSC:

34K19 Invariant manifolds of functional-differential equations
34K37 Functional-differential equations with fractional derivatives
34K45 Functional-differential equations with impulses
34K12 Growth, boundedness, comparison of solutions to functional-differential equations
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