A Note on Impulsive Fractional Evolution Equations with Nondense Domain
This paper is concerned with the existence of integral solutions for nondensely defined fractional functional differential equations with impulse effects. Some errors in the existing paper concerned with nondensely defined fractional differential equations are pointed out, and correct formula of int...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/359452 |
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| _version_ | 1832550140024455168 |
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| author | Zufeng Zhang Bin Liu |
| author_facet | Zufeng Zhang Bin Liu |
| author_sort | Zufeng Zhang |
| collection | DOAJ |
| description | This paper is concerned with the existence of integral solutions for nondensely defined fractional functional differential equations with impulse effects. Some errors in the existing paper concerned with nondensely defined fractional differential equations are pointed out, and correct formula of integral solutions is established by using integrated semigroup and some probability densities. Sufficient conditions for the existence are obtained by applying the Banach contraction mapping principle. An example is also given to illustrate our results. |
| format | Article |
| id | doaj-art-5a3856a322d24e36940b3f3a0c20a6a5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-5a3856a322d24e36940b3f3a0c20a6a52025-02-03T06:07:30ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/359452359452A Note on Impulsive Fractional Evolution Equations with Nondense DomainZufeng Zhang0Bin Liu1School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, ChinaThis paper is concerned with the existence of integral solutions for nondensely defined fractional functional differential equations with impulse effects. Some errors in the existing paper concerned with nondensely defined fractional differential equations are pointed out, and correct formula of integral solutions is established by using integrated semigroup and some probability densities. Sufficient conditions for the existence are obtained by applying the Banach contraction mapping principle. An example is also given to illustrate our results.http://dx.doi.org/10.1155/2012/359452 |
| spellingShingle | Zufeng Zhang Bin Liu A Note on Impulsive Fractional Evolution Equations with Nondense Domain Abstract and Applied Analysis |
| title | A Note on Impulsive Fractional Evolution Equations with Nondense Domain |
| title_full | A Note on Impulsive Fractional Evolution Equations with Nondense Domain |
| title_fullStr | A Note on Impulsive Fractional Evolution Equations with Nondense Domain |
| title_full_unstemmed | A Note on Impulsive Fractional Evolution Equations with Nondense Domain |
| title_short | A Note on Impulsive Fractional Evolution Equations with Nondense Domain |
| title_sort | note on impulsive fractional evolution equations with nondense domain |
| url | http://dx.doi.org/10.1155/2012/359452 |
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