Existence Results for Fractional Semilinear Integrodifferential Equations of Mixed Type with Delay

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: Xue Wang, Bo Zhu
Format: Article
Language:English
Published: Hindawi Limited 2021-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2021/5519992
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spelling 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
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