On the Solvability and Optimal Controls of Fractional Integrodifferential Evolution Systems with Infinite Delay

JinRong Wang (), Yong Zhou () and Milan Medveď ()
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JinRong Wang: Guizhou University
Yong Zhou: Xiangtan University
Milan Medveď: Comenius University

Journal of Optimization Theory and Applications, 2012, vol. 152, issue 1, No 3, 50 pages

Abstract: 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.

Keywords: Fractional integrodifferential evolution systems; Infinite delay; Solvability; Continuous dependence; Optimal controls (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (10)

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DOI: 10.1007/s10957-011-9892-5

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