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Zbl 1235.93046
Tai, Zhixin
Controllability of fractional impulsive neutral integrodifferential systems with a nonlocal Cauchy condition in Banach spaces. (English)
[J] Appl. Math. Lett. 24, No. 12, 2158-2161 (2011). ISSN 0893-9659

Summary: In this work, the controllability of fractional impulsive neutral functional integrodifferential systems with a nonlocal Cauchy condition in a Banach space has been addressed. Sufficient conditions for the controllability are established using fractional powers of operators and the Banach contraction mapping theorem.
MSC 2000:
*93B05 Controllability
93C30 Control systems governed by other functional relations
47N10 Appl. of operator theory in optimization, math. programming, etc.

Keywords: controllability; fractional integrodifferential systems; Banach contraction mapping; nonlocal Cauchy condition

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