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Controllability of nonlocal fractional functional differential equations of neutral type in a Banach space
Published in Inderscience Enterprises Ltd.
2015
Volume: 5
   
Issue: 4
Pages: 302 - 321
Abstract
This paper is concerned with the controllability of nonlinear nonlocal fractional neutral functional evolution system in a Banach space. Sufficient conditions are obtained by using Krasnoselskii's fixed point theorem and semigroup theory. In particular, we assume that the nonlinear parts satisfy locally Lipschitz like conditions and closed linear (not necessarily bounded) operator -A(t) generates analytic semigroup for each t ≥ 0. We also investigate null controllability of the considered system. An example is given to illustrate the effectiveness of our results. © 2015 Inderscience Enterprises Ltd.
About the journal
JournalInternational Journal of Dynamical Systems and Differential Equations
PublisherInderscience Enterprises Ltd.
ISSN17523583
Open AccessNo
Concepts (12)
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    Banach spaces
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    Calculations
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    Differential equations
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    Differentiation (calculus)
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    FIXED POINT ARITHMETIC
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    ANALYTIC SEMIGROUP
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    COMPLETE CONTROLLABILITIES
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    Fractional calculus
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    FRACTIONAL POWER OF OPERATORS
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    Neutral functional differential equations
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    Null controllability
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    Controllability