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.
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Acknowledgements
Research supported by National Natural Science Foundation of China (11326100, 11401473, 61463046), Natural Science Foundation of Gansu Province (1506RJYA272). The authors would like to thank the editors and referees very much for their valuable suggestions and comments
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Mu, J., Huang, S. & Guo, L. Existence and Regularity of q-Mild Solutions to Fractional Evolution Equations with Noncompact Semigroups. Differ Equ Dyn Syst 26, 3–14 (2018). https://doi.org/10.1007/s12591-016-0337-3
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DOI: https://doi.org/10.1007/s12591-016-0337-3