Existence and uniqueness of solutions for a mixed p-Laplace boundary value problem involving fractional derivatives

Shuqi Wang,Zhanbing Bai

doi:10.1186/s13662-020-03154-2

Abstract

In this article, the existence and uniqueness of solutions for a multi-point fractional boundary value problem involving two different left and right fractional derivatives with p-Laplace operator is studied. A novel approach is used to acquire the desired results, and the core of the method is Banach contraction mapping principle. Finally, an example is given to verify the results.

Highlights

In recent years, fractional-order calculus theory has been widely used in mathematics, science, engineering, etc
In [11], a mixed fractional p-Laplace boundary value problem was studied by Liu et al
The approach mentioned above can be applied to some other boundary value problems, such as conformable fractional order

Summary

Introduction

Fractional-order calculus theory has been widely used in mathematics, science, engineering, etc. In [11], a mixed fractional p-Laplace boundary value problem was studied by Liu et al. In [2], Bai investigated the uniqueness and existence of solutions of the following fractional-order differential equation:

Results

Conclusion