Existence Results for Fractional Semilinear Integrodifferential Equations of Mixed Type with Delay
In this paper, we discuss a class of fractional semilinear integrodifferential equations of mixed type with delay. Based on the theories of resolvent operators, the measure of noncompactness, and the fixed point theorems, we establish the existence and uniqueness of global mild solutions for the equ...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/5519992 |
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| _version_ | 1832547026458378240 |
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| author | Xue Wang Bo Zhu |
| author_facet | Xue Wang Bo Zhu |
| author_sort | Xue Wang |
| collection | DOAJ |
| description | In this paper, we discuss a class of fractional semilinear integrodifferential equations of mixed type with delay. Based on the theories of resolvent operators, the measure of noncompactness, and the fixed point theorems, we establish the existence and uniqueness of global mild solutions for the equations. An example is provided to illustrate the application of our main results. |
| format | Article |
| id | doaj-art-984c8c1db0764ed0aa5250c03fa1ec24 |
| 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-984c8c1db0764ed0aa5250c03fa1ec242025-02-03T06:46:15ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/55199925519992Existence Results for Fractional Semilinear Integrodifferential Equations of Mixed Type with DelayXue Wang0Bo Zhu1School of Mathematics, Shandong University, Jinan 250100, ChinaSchool of Mathematics and Quantitative Economics, Shandong University of Finance and Economics, Jinan 250014, ChinaIn this paper, we discuss a class of fractional semilinear integrodifferential equations of mixed type with delay. Based on the theories of resolvent operators, the measure of noncompactness, and the fixed point theorems, we establish the existence and uniqueness of global mild solutions for the equations. An example is provided to illustrate the application of our main results.http://dx.doi.org/10.1155/2021/5519992 |
| spellingShingle | Xue Wang Bo Zhu Existence Results for Fractional Semilinear Integrodifferential Equations of Mixed Type with Delay Journal of Function Spaces |
| title | Existence Results for Fractional Semilinear Integrodifferential Equations of Mixed Type with Delay |
| title_full | Existence Results for Fractional Semilinear Integrodifferential Equations of Mixed Type with Delay |
| title_fullStr | Existence Results for Fractional Semilinear Integrodifferential Equations of Mixed Type with Delay |
| title_full_unstemmed | Existence Results for Fractional Semilinear Integrodifferential Equations of Mixed Type with Delay |
| title_short | Existence Results for Fractional Semilinear Integrodifferential Equations of Mixed Type with Delay |
| title_sort | existence results for fractional semilinear integrodifferential equations of mixed type with delay |
| url | http://dx.doi.org/10.1155/2021/5519992 |
| work_keys_str_mv | AT xuewang existenceresultsforfractionalsemilinearintegrodifferentialequationsofmixedtypewithdelay AT bozhu existenceresultsforfractionalsemilinearintegrodifferentialequationsofmixedtypewithdelay |