Dynamics and stability for Katugampola random fractional differential equations

被引：3

作者：

Bekada, Fouzia ^{[1
]}

Abbas, Said ^{[2
]}

Benchohra, Mouffak ^{[3
]}

Nieto, Juan J. ^{[4
]}

机构：

[1] Univ Saida Dr Moulay Tahar, Lab Math, POB 138, En Nasr 20000, Saida, Algeria

[2] Univ Saida Dr Moulay Tahar, Dept Math, POB 138, En Nasr 20000, Saida, Algeria

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

[4] Univ Santiago de Compostela, Inst Matemat, Dept Estat Anal Matemat & Optimizac, Santiago De Compostela, Spain

来源：

AIMS MATHEMATICS | 2021年 / 6卷 / 08期

关键词：

differential equation; Katugampola fractional integral; Katugampola fractional derivative; random solution; Banach space; Ulam stability; fixed point; ULAM STABILITY;

D O I：

10.3934/math.2021503

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with some existence of random solutions and the Ulam stability for a class of Katugampola random fractional differential equations in Banach spaces. A random fixed point theorem is used for the existence of random solutions, and we prove that our problem is generalized Ulam-Hyers-Rassias stable. An illustrative example is presented in the last section.

引用

页码：8654 / 8666

页数：13

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