Fixed point analysis of fuzzy graphical ψ-contractions in non-Archimedean graphical fuzzy metric spaces with applications to nonlinear fractional-order differential models

[EN] Within graphical fuzzy metric spaces, the present study addresses a formulation for fuzzy graphical ψ-contractions as a novel family of contractions. Various fixed point results pertaining to the proposed contractions are established, supported by illustrative examples. Additionally, a discussion of the obtained findings extend and refine existing fixed point theorems is provided. To demonstrate their applicability, the study includes an application on establishing solution attainability for fractional-order nonlinear differential equations.