Dynamics and Stability of $\Xi$-Hilfer Fractional Fuzzy Differential Equations with Impulses

Abstract

This paper deals with the existence, uniqueness, and Ulam-stability outcomes for $\Xi$-Hilfer fractional fuzzy differential equations with impulse. Further, by using the techniques of nonlinear functional analysis, we study the Ulam-Hyers-Rassias stability.

Keywords

• existence
• fuzzy impulsive differential equation
• $\xi$-hilfer fractional derivative
• uniqueness
• ulam-hyers-rassias stability