Fuzzy Fractional Logistic DifferentialEquations, Generalized HukuharaDifferentiability

The ordinary logistic differential equation of the logistic system u'(t)= µu(t)[1 − u(t)], t ∈ [0, T], u(0) = u0 where T is a real number, u0 is a given initial value and u : [0, T] → R is an unknown function that appears in the study of discretization methods for differential equations. Furthermore, the application of the theory of difference equations is increasing rapidly in various fields such as numerical analysis, control theory, financial mathematics, computer science, data science, and economy [3, 6–8]. The fractional logistic differential equation (FLDE) has recently drawn the attention of many scientists. Nieto in [5] has obtained the exact solution of Caputo-Fabrizio FLDE and solved the logistic differential equation of fractional order and non-singular kernel.