Multiple positive solutions for a coupled system of fractional multi-point BVP with p-Laplacian operator

We investigate the existence of positive solutions for a system of fractional multi-point BVP with p-Laplacian operator. Our main tool is the fixed point theorem due to Leggett-Williams. The result obtained in this paper corrects some mistakes in (Al-Hossain in Differ. Equ. Dyn. Syst., 2016 , doi: 1...

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Bibliographic Details
Published inAdvances in difference equations Vol. 2017; no. 1; pp. 1 - 16
Main Authors Liu, Yang, Xie, Dapeng, Bai, Chuanzhi, Yang, Dandan
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 15.06.2017
Springer Nature B.V
SpringerOpen
Subjects
Analysis
Boundary value problems
cone
Difference and Functional Equations
fractional differential equation
Functional Analysis
Green’s function
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
p-Laplacian operator
Partial Differential Equations
positive solutions
positive solutions
fractional differential equation
p-Laplacian operator
Green’s function
cone
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Summary:We investigate the existence of positive solutions for a system of fractional multi-point BVP with p-Laplacian operator. Our main tool is the fixed point theorem due to Leggett-Williams. The result obtained in this paper corrects some mistakes in (Al-Hossain in Differ. Equ. Dyn. Syst., 2016 , doi: 10.1007/s11590-013-0708-4 ) and essentially improves and extends some well-known results.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-017-1221-3