The Stability of Set-Valued Differential Equations with Different Initial Time in the Sense of Fractional-like Hukuhara Derivatives

Abstract

This paper investigates set-valued differential equations with fractional-like Hukuhara derivatives. Firstly, a novel comparison principle is given by introducing the upper quasi-monotone increasing functions. Then, the stability criteria of Lipschitz stability and practical stability of such equations with different initial time are obtained via the new comparison principle and vector Lyapunov functions.</jats:p