This analysis establishes uniqueness theorems for nonlinear fractional differential equations in fuzzy metric spaces, indicating novel applications of fuzzy concepts.
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.
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Hamza et al. (2025) studied this question.
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