Impulsive Fractional Semilinear Integrodifferential Equations with Nonlocal Conditions
This paper is devoted to a class of impulsive fractional semilinear integrodifferential equations with nonlocal initial conditions. Based on the semigroup theory and some fixed point theorems, the existence theory of PC-mild solutions is established under the condition of compact resolvent operator....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/9449270 |
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| _version_ | 1832545878696525824 |
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| author | Xue Wang Bo Zhu |
| author_facet | Xue Wang Bo Zhu |
| author_sort | Xue Wang |
| collection | DOAJ |
| description | This paper is devoted to a class of impulsive fractional semilinear integrodifferential equations with nonlocal initial conditions. Based on the semigroup theory and some fixed point theorems, the existence theory of PC-mild solutions is established under the condition of compact resolvent operator. Furthermore, the uniqueness of PC-mild solutions is proved in the case of the noncompact resolvent operator. |
| format | Article |
| id | doaj-art-c61de1c98709486a9637fb1afe9b4d3b |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-c61de1c98709486a9637fb1afe9b4d3b2025-02-03T07:24:25ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/94492709449270Impulsive Fractional Semilinear Integrodifferential Equations with Nonlocal ConditionsXue Wang0Bo Zhu1School of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan 250014, ChinaSchool of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan 250014, ChinaThis paper is devoted to a class of impulsive fractional semilinear integrodifferential equations with nonlocal initial conditions. Based on the semigroup theory and some fixed point theorems, the existence theory of PC-mild solutions is established under the condition of compact resolvent operator. Furthermore, the uniqueness of PC-mild solutions is proved in the case of the noncompact resolvent operator.http://dx.doi.org/10.1155/2021/9449270 |
| spellingShingle | Xue Wang Bo Zhu Impulsive Fractional Semilinear Integrodifferential Equations with Nonlocal Conditions Journal of Function Spaces |
| title | Impulsive Fractional Semilinear Integrodifferential Equations with Nonlocal Conditions |
| title_full | Impulsive Fractional Semilinear Integrodifferential Equations with Nonlocal Conditions |
| title_fullStr | Impulsive Fractional Semilinear Integrodifferential Equations with Nonlocal Conditions |
| title_full_unstemmed | Impulsive Fractional Semilinear Integrodifferential Equations with Nonlocal Conditions |
| title_short | Impulsive Fractional Semilinear Integrodifferential Equations with Nonlocal Conditions |
| title_sort | impulsive fractional semilinear integrodifferential equations with nonlocal conditions |
| url | http://dx.doi.org/10.1155/2021/9449270 |
| work_keys_str_mv | AT xuewang impulsivefractionalsemilinearintegrodifferentialequationswithnonlocalconditions AT bozhu impulsivefractionalsemilinearintegrodifferentialequationswithnonlocalconditions |