Complete Controllability for Fractional Evolution Equations

Complete Controllability for Fractional Evolution Equations

The paper is concerned with the complete controllability of fractional evolution equation with nonlocal condition by using a more general concept for mild solution. By contraction fixed point theorem and Krasnoselskii's fixed point theorem, we obtain some sufficient conditions to ensure the com...

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Main Authors: Xia Yang, Haibo Gu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/730695
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spelling doaj-421b1232dcaa45be90f925ff7aef52f72020-11-24T22:05:40ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/730695730695Complete Controllability for Fractional Evolution EquationsXia Yang0Haibo Gu1School of Science, Shihezi University, Shihezi, Xinjiang 832003, ChinaSchool of Mathematics Sciences, Xinjiang Normal University, Urumqi, Xinjiang 830054, ChinaThe paper is concerned with the complete controllability of fractional evolution equation with nonlocal condition by using a more general concept for mild solution. By contraction fixed point theorem and Krasnoselskii's fixed point theorem, we obtain some sufficient conditions to ensure the complete controllability. Our obtained results are more general to known results.http://dx.doi.org/10.1155/2014/730695
collection DOAJ
language English
format Article
sources DOAJ
author Xia Yang
Haibo Gu
spellingShingle Xia Yang
Haibo Gu
Complete Controllability for Fractional Evolution Equations
Abstract and Applied Analysis
author_facet Xia Yang
Haibo Gu
author_sort Xia Yang
title Complete Controllability for Fractional Evolution Equations
title_short Complete Controllability for Fractional Evolution Equations
title_full Complete Controllability for Fractional Evolution Equations
title_fullStr Complete Controllability for Fractional Evolution Equations
title_full_unstemmed Complete Controllability for Fractional Evolution Equations
title_sort complete controllability for fractional evolution equations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description The paper is concerned with the complete controllability of fractional evolution equation with nonlocal condition by using a more general concept for mild solution. By contraction fixed point theorem and Krasnoselskii's fixed point theorem, we obtain some sufficient conditions to ensure the complete controllability. Our obtained results are more general to known results.
url http://dx.doi.org/10.1155/2014/730695
work_keys_str_mv AT xiayang completecontrollabilityforfractionalevolutionequations
AT haibogu completecontrollabilityforfractionalevolutionequations
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