Existence Results of Nondensely Defined Fractional Evolution Differential Inclusions

Existence Results of Nondensely Defined Fractional Evolution Differential Inclusions

This paper deals with the existence results of integral solutions for nondensely defined fractional evolution differential inclusions. Our approach is based on integrated semigroup theory and a fixed point theorem for condensing map due to Martelli. An example is also given to illustrate our results...

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Main Authors: Zufeng Zhang, Bin Liu
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/316850
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spelling doaj-c7270b47151148b68fd62ec2f40aa9cd2020-11-24T23:02:56ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/316850316850Existence Results of Nondensely Defined Fractional Evolution Differential InclusionsZufeng Zhang0Bin Liu1School of Mathematics and Statistics, Huazhong University of Science and Technology, Hubei, Wuhan 430074, ChinaSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Hubei, Wuhan 430074, ChinaThis paper deals with the existence results of integral solutions for nondensely defined fractional evolution differential inclusions. Our approach is based on integrated semigroup theory and a fixed point theorem for condensing map due to Martelli. An example is also given to illustrate our results.http://dx.doi.org/10.1155/2012/316850
collection DOAJ
language English
format Article
sources DOAJ
author Zufeng Zhang
Bin Liu
spellingShingle Zufeng Zhang
Bin Liu
Existence Results of Nondensely Defined Fractional Evolution Differential Inclusions
Journal of Applied Mathematics
author_facet Zufeng Zhang
Bin Liu
author_sort Zufeng Zhang
title Existence Results of Nondensely Defined Fractional Evolution Differential Inclusions
title_short Existence Results of Nondensely Defined Fractional Evolution Differential Inclusions
title_full Existence Results of Nondensely Defined Fractional Evolution Differential Inclusions
title_fullStr Existence Results of Nondensely Defined Fractional Evolution Differential Inclusions
title_full_unstemmed Existence Results of Nondensely Defined Fractional Evolution Differential Inclusions
title_sort existence results of nondensely defined fractional evolution differential inclusions
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
description This paper deals with the existence results of integral solutions for nondensely defined fractional evolution differential inclusions. Our approach is based on integrated semigroup theory and a fixed point theorem for condensing map due to Martelli. An example is also given to illustrate our results.
url http://dx.doi.org/10.1155/2012/316850
work_keys_str_mv AT zufengzhang existenceresultsofnondenselydefinedfractionalevolutiondifferentialinclusions
AT binliu existenceresultsofnondenselydefinedfractionalevolutiondifferentialinclusions
_version_ 1725634573567524864

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