Abstract
In this article, multiple positive solutions are considered for nonlinear mixed fractional differential equations with a p-Laplacian operator. Using the Avery–Peterson fixed point theorem, we conclude to the existence of positive solutions for the fractional boundary value problem. An example is also presented to illustrate the effectiveness of the main result.
Highlights
1 Introduction The differential equation arises in the modeling of different physical and natural phenomena: nonlinear flow laws, control systems and many other branches of engineering
Using the Avery–Peterson fixed point theorem, we obtain the existence of positive solutions for the fractional boundary value problem
6 Conclusions The Avery–Peterson fixed point theorem is used to solve the problem of a kind of nonlinear mixed fractional differential equation with a p-Laplacian operator
Summary
The differential equation arises in the modeling of different physical and natural phenomena: nonlinear flow laws, control systems and many other branches of engineering. By means of the Avery–Peterson fixed point theorem, Shen et al [1] established the existence result of at least triple positive solutions for the following problems: Using the Avery–Peterson fixed point theorem, we obtain the existence of positive solutions for the fractional boundary value problem.
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