Banach空间中分数阶脉冲积-微分方程的e指数型Ulam-Hyers稳定性

Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (5): 1055-1065.

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Exp-Type Ulam-Hyers Stability of Fractional Impulsive Integro-Differential Equations in Banach Spaces

ZHAO Yanxia, YANG He

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2019-12-04 Online:2020-09-26 Published:2020-11-18

Abstract

Abstract: By using Krasnoselskii’s fixed point theorem and Gronwall inequality, we discussed the existence and uniqueness of solutions for fractional impulsive integro-differential equations, and obtained the exp-type Ulam-Hyers stability of these solutions. The applicability of the obtained conclusions was illustrated by an example.

Key words: Caputo fractional integro-differential equation, Cauchy problem, existence, uniqueness, exp-type Ulam-Hyers stability

CLC Number:

O175.15

ZHAO Yanxia, YANG He. Exp-Type Ulam-Hyers Stability of Fractional Impulsive Integro-Differential Equations in Banach Spaces[J].Journal of Jilin University Science Edition, 2020, 58(5): 1055-1065.

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Exp-Type Ulam-Hyers Stability of Fractional Impulsive Integro-Differential Equations in Banach Spaces

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