Abstract
In this paper, we study the solvability and optimal controls of a class of fractional integrodifferential evolution systems with infinite delay in Banach spaces. Firstly, a more appropriate concept for mild solutions is introduced. Secondly, existence and continuous dependence of mild solutions are investigated by utilizing the techniques of a priori estimation and extension of step by steps. Finally, existence of optimal controls for system governed by fractional integrodifferential evolution systems with infinite delay is proved.
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Wang, J., Zhou, Y. & Medveď, M. On the Solvability and Optimal Controls of Fractional Integrodifferential Evolution Systems with Infinite Delay. J Optim Theory Appl 152, 31–50 (2012). https://doi.org/10.1007/s10957-011-9892-5
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DOI: https://doi.org/10.1007/s10957-011-9892-5