Approximate controllability of fractional neutral evolution equations in Banach spaces (Q370016)

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scientific article; zbMATH DE number 6209337
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Approximate controllability of fractional neutral evolution equations in Banach spaces
scientific article; zbMATH DE number 6209337

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    Approximate controllability of fractional neutral evolution equations in Banach spaces (English)
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    19 September 2013
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    Summary: We discuss the approximate controllability of semilinear fractional neutral differential systems with infinite delay under the assumptions that the corresponding linear system is approximately controllable. Using Krasnoselkii's fixed-point theorem, fractional calculus, and methods of controllability theory, a new set of sufficient conditions for approximate controllability of fractional neutral differential equations with infinite delay is formulated and proved. The results of the paper are ageneralization and a continuation of the recent results on this issue.
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    approximate controllability
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    semilinear fractional neutral differential systems
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    Krasnoselkii's fixed-point theorem
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    fractional calculus
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