Existence Theorems for Fractional Semilinear Integrodifferential Equations with Noninstantaneous Impulses and Delay
In this paper, we consider a class of fractional semilinear integrodifferential equations with noninstantaneous impulses and delay. By the semigroup theory and fixed point theorems, we establish various theorems for the existence of mild solutions for the problem. An example involving partial differ...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/2914269 |
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| _version_ | 1832546966250192896 |
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| author | Bo Zhu Minhui Zhu |
| author_facet | Bo Zhu Minhui Zhu |
| author_sort | Bo Zhu |
| collection | DOAJ |
| description | In this paper, we consider a class of fractional semilinear integrodifferential equations with noninstantaneous impulses and delay. By the semigroup theory and fixed point theorems, we establish various theorems for the existence of mild solutions for the problem. An example involving partial differential equations with noninstantaneous impulses is given to show the application of our main results. |
| format | Article |
| id | doaj-art-b0107e034b6147b7aa9ffb6bd60887c2 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-b0107e034b6147b7aa9ffb6bd60887c22025-02-03T06:46:32ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/29142692914269Existence Theorems for Fractional Semilinear Integrodifferential Equations with Noninstantaneous Impulses and DelayBo Zhu0Minhui Zhu1School of Mathematic and Quantitative Economics, Shandong University of Finance and Economics, Jinan, 250014 Shandong, ChinaSchool of Mathematics and Statistics, Qilu University of Technology, Jinan, 250353 Shandong, ChinaIn this paper, we consider a class of fractional semilinear integrodifferential equations with noninstantaneous impulses and delay. By the semigroup theory and fixed point theorems, we establish various theorems for the existence of mild solutions for the problem. An example involving partial differential equations with noninstantaneous impulses is given to show the application of our main results.http://dx.doi.org/10.1155/2020/2914269 |
| spellingShingle | Bo Zhu Minhui Zhu Existence Theorems for Fractional Semilinear Integrodifferential Equations with Noninstantaneous Impulses and Delay Journal of Function Spaces |
| title | Existence Theorems for Fractional Semilinear Integrodifferential Equations with Noninstantaneous Impulses and Delay |
| title_full | Existence Theorems for Fractional Semilinear Integrodifferential Equations with Noninstantaneous Impulses and Delay |
| title_fullStr | Existence Theorems for Fractional Semilinear Integrodifferential Equations with Noninstantaneous Impulses and Delay |
| title_full_unstemmed | Existence Theorems for Fractional Semilinear Integrodifferential Equations with Noninstantaneous Impulses and Delay |
| title_short | Existence Theorems for Fractional Semilinear Integrodifferential Equations with Noninstantaneous Impulses and Delay |
| title_sort | existence theorems for fractional semilinear integrodifferential equations with noninstantaneous impulses and delay |
| url | http://dx.doi.org/10.1155/2020/2914269 |
| work_keys_str_mv | AT bozhu existencetheoremsforfractionalsemilinearintegrodifferentialequationswithnoninstantaneousimpulsesanddelay AT minhuizhu existencetheoremsforfractionalsemilinearintegrodifferentialequationswithnoninstantaneousimpulsesanddelay |