A study of symmetric contractions with an application to generalized fractional differential equations

Abstract

Abstract This article proposes four distinct kinds of symmetric contraction in the framework of complete F-metric spaces. We examine the condition to guarantee the existence and uniqueness of a fixed point for these contractions. As an application, we look for the solutions to fractional boundary value problems involving a generalized fractional derivative known as the fractional derivative with respect to another function.

Keywords

• Boundary value problem
• Generalized fractional derivative
• Fixed point
• Measure of noncompactness