Open AccessExistence and Multiplicity of Positive Solutions for a Class of m-Point Fractional Differential Equations with p-Laplacian Operators
Author(s) -
Baiyan Xu,
Yang Yang
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1634/1/012101
Subject(s) - mathematics , multiplicity (mathematics) , boundary value problem , fixed point theorem , mathematical analysis , p laplacian , cone (formal languages) , fixed point index , laplace operator , operator (biology) , pure mathematics , differential operator , class (philosophy) , differential equation , biochemistry , chemistry , repressor , algorithm , artificial intelligence , computer science , transcription factor , gene
In this paper, by constructing the properties of Green function and fixed point theorem on cone, we study the existence of solutions for a class of m-point fractional differential equation boundary value problems with p-Laplacian operator, and prove the existence and multiplicity of positive solutions for boundary value problems by constructing superlinear functions.