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

Author:

Wang PeiguangORCID,Bi Jiahui

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.

Funder

National Natural Science Foundation of China

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Reference30 articles.

1. An existence theorem for set differen-tial inclusions in a semilinear metric space;Lakshmikantham;Control. Cybern.,2007

2. New differentiability concepts for set-valued functions and applications to set differential equations;Khastan;Inf. Sci.,2021

3. Successive approximations to solutions of set differential equations in Ba-nach spaces;Lupulescu;Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal.,2008

4. On a multivalued second order differential problem with Hukuhara deriva-tive;Magdalena;Opusc. Math.,2008

5. Global existence of solutions for interval-valued second-order differential equations under generalized Hukuhara derivative;Ngo;Adv. Differ. Equ.,2013

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