On the Analysis of Regularized Fuzzy Systems of Uncertain Differential Equations

This article analyzes a regularized set of fuzzy differential equations with respect to an uncertain parameter. We provide sufficient conditions for the correctness new regularization scheme. For resulting family equations, following properties are analyzed, and efficient criteria proposed: successive approximations, continuity, global existence solutions, approximate solutions in autonomous case. In addition, we develop stability on basis comparison technique method nonlinear integral inequalities. expect that derived results will inspire future research work this direction.