Multiple positive solutions for nonlinear mixed fractional differential equation with p-Laplacian operator

• Main Author: Yunhong Li
• Format: Article
• Language: English
• Published: SpringerOpen 2019-03-01
• Series: Advances in Difference Equations
• Subjects: Caputo fractional derivative; Riemann–Liouville fractional derivative; Positive solutions; p-Laplacian; Avery–Peterson fixed point theorem
• Online Access: http://link.springer.com/article/10.1186/s13662-019-2041-4
• ISSN: 1687-1847

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.