Work

Fixed Points of Exponential-Type Contractions in Fuzzy Metric Spaces with Applications to Nonlinear Fractional Boundary Value Problems

Year: 2025

Type: article

Abstract: In this paper, we introduce the notion of fuzzy exponential contractions within the framework of fuzzy metric spaces. These mappings, which involve point-dependent exponential terms, are studied under the assumptions of either fuzzy continuity or the weaker condition of fuzzy Picard continuity. We establish corresponding existence and uniqueness theorems, and we further demonstrate the scope of the theory through illustrative examples and by applying it to prove an existence and uniqueness result for a class of nonlinear fractional differential equations.

Source: Fractal and Fractional

DOI: 10.3390/fractalfract9110730