International Monthly Seminar on Time Scales Analysis #7

This research investigates the stability and boundedness of solutions for a class of fuzzy fractional impulsive dynamic equations, employing the fixed-point technique as a primary analytical tool. We begin by defining a framework for fuzzy fractional calculus, which allows us to model uncertainty and imprecision inherent in dynamic systems. The incorporation of the impulsive effects is to capture sudden changes in the system state, reflecting real-world phenomena. Utilizing the fixed-point theorem, we establish sufficient conditions for the existence, stability, and boundedness of solutions of the class of equations. Our results extend existing theories by addressing the interplay between fuzziness, fractional order, and impulsive dynamics.