Global existence and attractivity for Riemann-Liouville fractional semilinear evolution equations involving weakly singular integral inequalities

In this paper, we obtain several results on the global existence, uniqueness and attractivity for fractional evolution equations involving the Riemann-Liouville type by exploiting some results on weakly singular integral inequalities in Banach spaces. Some boundedness conditions of the nonlinear ter...

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Bibliographic Details
Published inJournal of inequalities and applications Vol. 2024; no. 1; pp. 64 - 21
Main Authors Jiang, Caijing, Xu, Keji
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 08.05.2024
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Applications of Mathematics
Attractivity
Banach spaces
Euclidean space
Evolution
Existence
Fractional evolution equation
Inequalities
Mathematics
Mathematics and Statistics
Riemann-Liouville fractional derivative
Weakly singular integral inequality
Attractivity
Weakly singular integral inequality
Riemann-Liouville fractional derivative
Fractional evolution equation
Existence
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Summary:In this paper, we obtain several results on the global existence, uniqueness and attractivity for fractional evolution equations involving the Riemann-Liouville type by exploiting some results on weakly singular integral inequalities in Banach spaces. Some boundedness conditions of the nonlinear term are considered to obtain the main results that generalize and improve some well-known works.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-024-03137-x