(ψ, GF)-Contraction mappings and related fixed point results in partial modular metric spaces

Abstract

In this paper, we focus on establishing the existence of fixed points results for (ψ, GF)-contraction mapping in partial modular metric spaces. In support of this result, a suitable example is given. For the application, we demonstrate how these results can be utilized to investigate the existence and uniqueness of solutions for a system of Volterratype integral equation. Moreover, we demonstrate the existence of solutions of fractional differential equations in the framework of partial modular metric spaces.