Stability and monotony dependence of second-order fuzzy functional systems in partially ordered metric spaces

Abstract

 In this paper, we consider Cauchy problems for second order fuzzy functional differential equations (DEs) with generalized Hukuhara (gH) derivatives. We study the solvability of the problem by using Perov fixed point theorem in ordered partial metric spaces. The data monotony, continuity, diferentiability dependence of mild solutions with respect to parameters are investigated via weak Picard operators. Moreover, the stability of mild solutions is addressed in sense of Ulam-Hyers stability related to the technique of coefficient matrix converges to zero. Some examples are presented to demonstrate for theoretical results.