Approximate Controllability of Fractional Order Semilinear Delay Systems

N. Sukavanam () and Surendra Kumar ()
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N. Sukavanam: IIT Roorkee
Surendra Kumar: IIT Roorkee

Journal of Optimization Theory and Applications, 2011, vol. 151, issue 2, No 9, 373-384

Abstract: Abstract In this paper, the approximate controllability for a class of semilinear delay control systems of fractional order is proved under the natural assumption that the linear system is approximately controllable. The existence and uniqueness of the mild solution is also proved under suitable assumptions. An example is given to illustrate our main results.

Keywords: Approximate controllability; Semilinear system; Fractional order delay system; Mild solution (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10957-011-9905-4

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