Optimal Controls of Systems Governed by Semilinear Fractional Differential Equations with Not Instantaneous Impulses

Shengda Liu () and JinRong Wang ()
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Shengda Liu: Guizhou University
JinRong Wang: Guizhou University

Journal of Optimization Theory and Applications, 2017, vol. 174, issue 2, No 6, 455-473

Abstract: Abstract This paper is concerned on optimal control problems for systems governed semilinear fractional differential equations with not instantaneous impulses in the infinite dimensional spaces. We utilize fractional calculus, semigroup theory and fixed point approach to present the solvability of the corresponding control system by using the new introduced concept of mild solutions. Next, we give the existence result of optimal controls for Lagrange problem under the suitable conditions. Finally, an example is given to illustrate the effectiveness of our results.

Keywords: Optimal controls; Fractional differential equations; Not instantaneous impulses; 26A33; 47J35; 49J20; 35R12 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-017-1122-3

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