Existence, uniqueness and asymptotic behavior of the solutions of a fuzzy differential equation with piecewise constant argument

Monotone method for fuzzy differential equations

“…For a numerical approach, see [4,5,20,27]. Fuzzy functional differential equations with delay and some impulsive fuzzy differential equations have been studied in [25,36]. The basic theory about the method of upper and lower solutions and monotone iterative technique for ordinary differential equations is included in [24], and the basic concepts on metric spaces and differential calculus of fuzzy sets useful for this study can be found in [15].…”

Euler polygonal method for metric dynamical systems

“…Concerning fuzzy equations, some aspects relative to solutions for fuzzy differential equations and fuzzy integral equations can be found in [8,10,11,15,16,18,23,25], while numerical methods to aproximate the solutions of initial value problems for fuzzy differential equations and inclusions are considered in [1][2][3][4]. Besides, in [6], first order linear fuzzy differential equations are analyzed from the point of view of generalized differentiability.…”

Global existence of solutions for fuzzy second-order differential equations under generalized H-differentiability

“…Park et al proved the existence of solutions to fuzzy integral equations in Banach spaces on [t 0 , t 0 + d] in [8]. Papaschinopoulos et al studied the existence, the uniqueness and the asymptotic behavior of the solutions to the fuzzy differential equation in [9]. Lupulescu proved several theorems stating the existence, uniqueness and boundedness of solutions to fuzzy differential equations with the concept of inner product on the fuzzy space in [10].…”

“…Lupulescu proved several theorems stating the existence, uniqueness and boundedness of solutions to fuzzy differential equations with the concept of inner product on the fuzzy space in [10]. The existence, the uniqueness and the asymptotic behavior of the solutions to fuzzy differential equation were studied in [9]. In [11], Park et al proved the existence and uniqueness theorem of a solution to fuzzy Volterra integral equation on [t 0 , t 0 + a].…”