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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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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doaj-984c8c1db0764ed0aa5250c03fa1ec242021-03-15T00:00:14ZengHindawi LimitedJournal of Function Spaces2314-88882021-01-01202110.1155/2021/5519992Existence Results for Fractional Semilinear Integrodifferential Equations of Mixed Type with DelayXue Wang0Bo Zhu1School of MathematicsSchool of Mathematics and Quantitative EconomicsIn 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 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Xue Wang Bo Zhu |
spellingShingle |
Xue Wang Bo Zhu Existence Results for Fractional Semilinear Integrodifferential Equations of Mixed Type with Delay Journal of Function Spaces |
author_facet |
Xue Wang Bo Zhu |
author_sort |
Xue Wang |
title |
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_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_sort |
existence results for fractional semilinear integrodifferential equations of mixed type with delay |
publisher |
Hindawi Limited |
series |
Journal of Function Spaces |
issn |
2314-8888 |
publishDate |
2021-01-01 |
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. |
url |
http://dx.doi.org/10.1155/2021/5519992 |
work_keys_str_mv |
AT xuewang existenceresultsforfractionalsemilinearintegrodifferentialequationsofmixedtypewithdelay AT bozhu existenceresultsforfractionalsemilinearintegrodifferentialequationsofmixedtypewithdelay |
_version_ |
1714785477604671488 |