STABILITY FOR IMPULSIVE FRACTIONAL DIFFERENTIAL INCLUSIONS VIA PICARD OPERATORS IN BANACH SPACES

被引：1

作者：

Abbas, Said ^{[1
]}

Benchohra, Mouffak ^{[2
]}

Hamidi, Naima ^{[2
]}

机构：

[1] Tahar Moulay Univ Saida, Lab Math Geometry Anal Control & Applicat, POB 138, En Nasr 20000, Saida, Algeria

[2] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2018年

关键词：

Abstract fractional differential inclusion; Left-sided mixed Riemann-Liouville integral; Caputo fractional order derivative; Mild solution; Impulse;

D O I：

10.23952/jnfa.2018.44

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence of mild solutions and the Ulam stability of these solutions for a class of semilinear fractional differential inclusions with not instantaneous impulses in separable Banach spaces. These results are achieved based on Picard operators and the semigroup theory. An illustrative example is also presented.

引用

页数：17

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