New fuzzy fixed point results solve boundary value problems for fractional differential equations, implying advances in mathematical solutions.
In this paper, we present the notion of fuzzy R−F−contractive mappings and provide some fuzzy fixed point results in the setting of fuzzy metric spaces, which are endowed with binary relations. Furthermore, we apply our newly established fuzzy fixed point results to solve certain boundary value problems for nonlinear fractional differential equations involving the Caputo fractional derivatives. Also, we provide some examples to show the utility of our new results.
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Alfaqih et al. (2025) studied this question.
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