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 fuzzy-valued 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.