Application of an extended Hilfer fractional derivative and fixed point theorem in fuzzy contexts.
This manuscript aims to highlight the existence result for a class of nonlinear fuzzy hybrid ψ-Hilfer fractional differential equations. Our approach is based on the application of an extended ψ-Hilfer fractional derivative of order q, σ ∈ (0, 1) valid on fuzzy functions paired with Dhage fixed point theorem. As an example of application, we provide one at the end of this paper to show how the results can be used.
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Zerbib et al. (2025) studied this question.
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