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Approximate Controllability of Fractional Order Semilinear Delay Systems

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Control, Computation and Information Systems (ICLICC 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 140))

Abstract

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.

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Sukavanam, N., Kumar, S. (2011). Approximate Controllability of Fractional Order Semilinear Delay Systems. In: Balasubramaniam, P. (eds) Control, Computation and Information Systems. ICLICC 2011. Communications in Computer and Information Science, vol 140. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19263-0_9

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  • DOI: https://doi.org/10.1007/978-3-642-19263-0_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-19262-3

  • Online ISBN: 978-3-642-19263-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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