Existence Results for a Class of Semilinear Fractional Partial Differential Equations with Delay in Banach Spaces
In this paper, we consider a class of nonlinear time fractional partial differential equations with delay. We obtain the existence and uniqueness of the mild solutions for the problem by the theory of solution operator and the general Banach contraction mapping principle. We need not extra condition...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2019/6295019 |
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| _version_ | 1832562371411836928 |
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| author | Bo Zhu Baoyan Han Xiangyun Lin |
| author_facet | Bo Zhu Baoyan Han Xiangyun Lin |
| author_sort | Bo Zhu |
| collection | DOAJ |
| description | In this paper, we consider a class of nonlinear time fractional partial differential equations with delay. We obtain the existence and uniqueness of the mild solutions for the problem by the theory of solution operator and the general Banach contraction mapping principle. We need not extra conditions to ensure the contraction constant 0<k<1. Therefore, under some general conditions, we obtain our main results. |
| format | Article |
| id | doaj-art-fc703608c8654632ac1fc76265f27c83 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-fc703608c8654632ac1fc76265f27c832025-02-03T01:22:51ZengWileyJournal of Function Spaces2314-88962314-88882019-01-01201910.1155/2019/62950196295019Existence Results for a Class of Semilinear Fractional Partial Differential Equations with Delay in Banach SpacesBo Zhu0Baoyan Han1Xiangyun Lin2School of Mathematic and Quantitative Economics, Shandong University of Finance and Economics, Jinan 250014, Shandong, ChinaCommon Course Teaching Department, Shandong University of Art and Design, Jinan 250014, Shandong, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaIn this paper, we consider a class of nonlinear time fractional partial differential equations with delay. We obtain the existence and uniqueness of the mild solutions for the problem by the theory of solution operator and the general Banach contraction mapping principle. We need not extra conditions to ensure the contraction constant 0<k<1. Therefore, under some general conditions, we obtain our main results.http://dx.doi.org/10.1155/2019/6295019 |
| spellingShingle | Bo Zhu Baoyan Han Xiangyun Lin Existence Results for a Class of Semilinear Fractional Partial Differential Equations with Delay in Banach Spaces Journal of Function Spaces |
| title | Existence Results for a Class of Semilinear Fractional Partial Differential Equations with Delay in Banach Spaces |
| title_full | Existence Results for a Class of Semilinear Fractional Partial Differential Equations with Delay in Banach Spaces |
| title_fullStr | Existence Results for a Class of Semilinear Fractional Partial Differential Equations with Delay in Banach Spaces |
| title_full_unstemmed | Existence Results for a Class of Semilinear Fractional Partial Differential Equations with Delay in Banach Spaces |
| title_short | Existence Results for a Class of Semilinear Fractional Partial Differential Equations with Delay in Banach Spaces |
| title_sort | existence results for a class of semilinear fractional partial differential equations with delay in banach spaces |
| url | http://dx.doi.org/10.1155/2019/6295019 |
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