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<p><strong> </strong>The purpose of this paper was considering the impulsive fractional differential system with time delay. We investigated the existence of solution corresponding to the regulator in the admissible regulator set describing by the compact semigroup on Banach space. The result was applied to nonlinear fractional heat equation.</p

Optimal Regulation of Impulsive Fractional Differential Equation with Delay and Application to Nonlinear Fractional Heat Equation