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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Veröffentlicht in:Journal of function spaces 2021, Vol.2021, p.1-7
Hauptverfasser: Wang, Xue, Zhu, Bo
Format: Artikel
Sprache:eng
Schlagworte:
Banach spaces
Existence theorems
Fixed points (mathematics)
Mathematical analysis
Mathematical functions
Theorems
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Zusammenfassung: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.
ISSN:2314-8896
2314-8888
DOI:10.1155/2021/5519992