Positive solutions of fractional p-Laplacian equations with integral boundary value and two parameters

Positive solutions of fractional p-Laplacian equations with integral boundary value and two parameters

We consider a class of Caputo fractional p -Laplacian differential equations with integral boundary conditions which involve two parameters. By using the Avery–Peterson fixed point theorem, we obtain the existence of positive solutions for the boundary value problem. As an application, we present an...

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Veröffentlicht in:Journal of inequalities and applications 2020-01, Vol.2020 (1), p.1-15, Article 2
Hauptverfasser: Zhang, Luchao, Zhang, Weiguo, Liu, Xiping, Jia, Mei
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Caputo fractional derivative
Integral boundary conditions
Mathematics
Mathematics and Statistics
Mathematics, Applied
p-Laplacian operator
Parameter
Physical Sciences
Positive solutions
Science & Technology
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Zusammenfassung:We consider a class of Caputo fractional p -Laplacian differential equations with integral boundary conditions which involve two parameters. By using the Avery–Peterson fixed point theorem, we obtain the existence of positive solutions for the boundary value problem. As an application, we present an example to illustrate our main result.
ISSN:1029-242X
1029-242X
DOI:10.1186/s13660-019-2273-6