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Approximate Controllability of Linear Fractional Impulsive Evolution Equations in Hilbert Spaces (2406.15114v2)
Published 21 Jun 2024 in math.OC and math.DS
Abstract: In this paper, we investigate the approximate controllability of linear fractional impulsive evolution equations in Hilbert spaces. We provide a representation of solutions utilizing impulsive operators. Necessary and sufficient conditions for the approximate controllability of linear fractional impulsive evolution equations are established in terms of the impulsive resolvent operator. An example is presented to demonstrate the application of the obtained theoretical results.