On Multiple Positive Solutions for Singular Fractional Boundary Value Problems with Riemann-Stieltjes Integrals

In this paper, the existence result of at least two positive solutions is obtained for a nonlinear Riemann-Liouville fractional differential equation subject to nonlocal boundary conditions, where fractional derivatives and Riemann-Stieltjes integrals are involved. The nonlinearity possesses singula...

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Bibliographic Details
Published inJournal of function spaces Vol. 2023; pp. 1 - 7
Main Authors Gu, Lufeng, Zhong, Qiuyan, Shao, Zhuyan
Format Journal Article
LanguageEnglish
Published New York Hindawi 03.02.2023
John Wiley & Sons, Inc
Wiley
Subjects
Banach spaces
Boundary conditions
Boundary value problems
Calculus
Differential equations
Fractional calculus
Integrals
Nonlinear systems
Nonlinearity
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Summary:In this paper, the existence result of at least two positive solutions is obtained for a nonlinear Riemann-Liouville fractional differential equation subject to nonlocal boundary conditions, where fractional derivatives and Riemann-Stieltjes integrals are involved. The nonlinearity possesses singularities on both its time and space variables. The discussion is based on the fixed point index theory on cones.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:2314-8896
2314-8888
DOI:10.1155/2023/6154626