Existence of Solutions for Fuzzy Impulsive Nonlinear Dynamic Equations on Time Scales

This work addresses the existence of solutions for a class of fuzzy impulsive dynamic equations on time scales. The analysis is conducted within the framework of fuzzyvalued functions, incorporating impulsive effects at fixed time points. By applying Krasnosel’skii’s fixed point theorem, sufficient conditions are derived to ensure the existence of solutions within a bounded fuzzy function space. Additionally, the use of Sadovskii’s fixed point theorem allows for the establishment of alternative existence results under different assumptions. These theoretical findings provide a foundational basis for studying fuzzy impulsive systems on time scales, with potential applications in control systems and uncertain dynamical models.