Mild Solution and Fractional Optimal Control of Semilinear System with Fixed Delay

Surendra Kumar ()
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Surendra Kumar: University of Delhi

Journal of Optimization Theory and Applications, 2017, vol. 174, issue 1, No 8, 108-121

Abstract: Abstract This paper considers fractional optimal control of a semilinear system with fixed delay in a reflexive Banach space. The existence and uniqueness of mild solution are obtained using the Weissinger’s fixed point theorem. The existence of optimal control for the system governed by fractional-order semilinear equation with fixed delay in state is presented. To show the effectiveness of the developed theory, an example is given.

Keywords: Fractional calculus; Semilinear delay system; Mild solution; Optimal control; 34A08; 93C23; 49J99 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-015-0828-3

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