On approximate controllability of impulsive fractional semilinear systems with deviated argument in hilbert spaces

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2020

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InforMath Publishing Group

Abstract

In this paper we apply a fixed-point theorem to study the existence and uniqueness of a mild solution and the approximate controllability of a fractional order impulsive differential equation with deviated argument in Hilbert spaces. An example is provided to show the effectiveness of the theory

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Controllability, Deviated arguments, Differential equations with impulses, Fixed-point theorems, Fractional derivatives and integrals, Semigroup theory

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