Positive solutions for an infinite system of fractional order boundary value problems

In this paper, we investigate the existence of positive solutions for an infinite system of fractional order boundary value problems in a Banach sequence space c . Our analysis relies on the Krasnosel’skii fixed point theorem in a cone in conjunction with the criterion of relative compactness in C 1...

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Bibliographic Details
Published in:Advances in difference equations 2019-05, Vol.2019 (1), p.1-11, Article 169
Main Authors: Wang, Fuli, Cui, Yujun
Format: Article
Language:English
Subjects:
Analysis
Banach sequence spaces
Boundary value problems
Difference and Functional Equations
Fixed points (mathematics)
Fractional order boundary value problems
Functional Analysis
Infinite system
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
Positive solution
Proceedings of the International Conference in Mathematics and Applications
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Summary:In this paper, we investigate the existence of positive solutions for an infinite system of fractional order boundary value problems in a Banach sequence space c . Our analysis relies on the Krasnosel’skii fixed point theorem in a cone in conjunction with the criterion of relative compactness in C 1 ( J , c ) . Finally, an example is given to illustrate our abstract results.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-019-2111-7