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

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

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 integrod...

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Main Authors: Amar Debbouche, Dumitru Baleanu
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/931975
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spelling doaj-4afe23490d3d47378ec67a6e63601fe02020-11-24T20:40:36ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/931975931975Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution SystemAmar Debbouche0Dumitru Baleanu1Department of Mathematics, Faculty of Science, Guelma University, Guelma, AlgeriaDepartment of Mathematics and Computer Science, Cankaya University, Ankara, TurkeyWe 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.http://dx.doi.org/10.1155/2012/931975
collection DOAJ
language English
format Article
sources DOAJ
author Amar Debbouche
Dumitru Baleanu
spellingShingle Amar Debbouche
Dumitru Baleanu
Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System
Journal of Applied Mathematics
author_facet Amar Debbouche
Dumitru Baleanu
author_sort Amar Debbouche
title Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System
title_short Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System
title_full Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System
title_fullStr Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System
title_full_unstemmed Exact Null Controllability for Fractional Nonlocal Integrodifferential Equations via Implicit Evolution System
title_sort exact null controllability for fractional nonlocal integrodifferential equations via implicit evolution system
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description 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.
url http://dx.doi.org/10.1155/2012/931975
work_keys_str_mv AT amardebbouche exactnullcontrollabilityforfractionalnonlocalintegrodifferentialequationsviaimplicitevolutionsystem
AT dumitrubaleanu exactnullcontrollabilityforfractionalnonlocalintegrodifferentialequationsviaimplicitevolutionsystem
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