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Published in:
2011 | OriginalPaper | Chapter
Approximate Controllability of Fractional Order Semilinear Delay Systems
Authors : N. Sukavanam, Surendra Kumar
Published in: Control, Computation and Information Systems
Publisher: Springer Berlin Heidelberg
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In this paper, we prove the approximate controllability for a class of semilinear delay control systems of fractional order of the form
${{d^\alpha y(t)}\over{dt^\alpha}}=Ay(t)+v(t)+f(t,y_t,v(t)), t\in [0,\tau];\\ y_0(\theta)=\phi(\theta),\theta\in[-h,0],$
where
A
is linear operators and
f
is a nonlinear operator defined on appropriate Banach space.