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Controllability of fractional integrodifferential systems in Banach spaces

โœ Scribed by K. Balachandran; J.Y. Park


Publisher
Elsevier
Year
2009
Tongue
English
Weight
377 KB
Volume
3
Category
Article
ISSN
1751-570X

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In this work the controllability of fractional impulsive neutral functional integrodifferential systems in a Banach space has been addressed. Sufficient conditions for the controllability are established using fractional calculus, a semigroup of operators and Krasnoselskii's fixed point theorem.

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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

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Sufficient conditions for controllability of functional semilinear integrodifferential systems in a Banach space are established. The results are obtained by using the Schaefer fixed-point theorem.

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Sufficient conditions for controllability of Sobolev-type integrodifferential systems in Banach spaces are established. The results are obtained using compact semigroups and the Schauder fixed-point theorem. As an example is provided to illustrate the results.

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โœ K. Balachandran; J.Y. Park; E.R. Anandhi ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 95 KB

Sufficient conditions for local controllability of quasilinear integrodifferential systems in Banach spaces are established. The results are obtained by using the analytic semigroup theory and the Schauder fixed-point theorem. An example is provided to illustrate the theory.