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Zbl 1251.93029
Debbouche, Amar; Baleanu, Dumitru
Exact null controllability for fractional nonlocal integrodifferential equations via implicit evolution system. (English)
[J] J. Appl. Math. 2012, Article ID 931975, 17 p. (2012). ISSN 1110-757X; ISSN 1687-0042/e

Summary: We introduce a new concept called implicit evolution system to establish the existence results of mild and strong solutions of a class of fractional nonlocal nonlinear integrodifferential system, then we prove the exact null controllability result of a class of fractional evolution nonlocal integrodifferential control system in Banach space. As an application that illustrates the abstract results, two examples are provided.

MSC 2000:: *93B05 Controllability
34A08
45J05 Integro-ordinary differential equations

Keywords: mild and strong solutions; fractional nonlocal nonlinear integrodifferential systems

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