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

Abstract

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.

Keywords

• Fractional derivatives
• p-Laplace operator
• Existence and uniqueness