Journal of Applied Mathematics

Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System

Amar Debbouche and Dumitru Baleanu

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Abstract

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.

Article information

Source
J. Appl. Math., Volume 2012 (2012), Article ID 931975, 17 pages.

Dates
First available in Project Euclid: 14 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.jam/1355495276

Digital Object Identifier
doi:10.1155/2012/931975

Mathematical Reviews number (MathSciNet)
MR2965711

Zentralblatt MATH identifier
1251.93029

Citation

Debbouche, Amar; Baleanu, Dumitru. Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System. J. Appl. Math. 2012 (2012), Article ID 931975, 17 pages. doi:10.1155/2012/931975. https://projecteuclid.org/euclid.jam/1355495276


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