Fuzzy fixed point techniques for analyzing differential inclusions

In this manuscript, new coincidence and fixed point results of fuzzy set-valued maps are studied in the setting of ordinary metric space. Selected properties of the auxiliary function, named \({\mathcal{M}\mathcal{T}}\) $\mathcal{M}\mathcal{T}$ -function are applied to establish some general fuzzy fixed point results that refine and unify a handful of related concepts in the literature. Conditions for the existence of solutions to a Caputo fractional differential inclusion model for COVID-19 are proposed, using fuzzy set-valued mapping techniques, as an application. For the purpose of comparison, a non-trivial example is provided to support our assumptions.