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Existence and Regularity of q-Mild Solutions to Fractional Evolution Equations with Noncompact Semigroups

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We discuss the existence and regularity of solutions to some fractional evolution equations in the q-norm. The linear part generates a noncompact semigroup, and the nonlinear part satisfies some conditions… Click to show full abstract

We discuss the existence and regularity of solutions to some fractional evolution equations in the q-norm. The linear part generates a noncompact semigroup, and the nonlinear part satisfies some conditions with respect to the fractional power norm of the linear part. In the end, we apply the obtained results to a control system.

Keywords: evolution equations; existence regularity; fractional evolution; solutions fractional

Journal Title: Differential Equations and Dynamical Systems
Year Published: 2018

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