Dynamics and stability for Katugampola random fractional differential equations

AIMS Mathematics

Fouzia Bekada¹  Saïd Abbas²  Mouffak Benchohra³  Juan J. Nieto⁴ 

[1] 1. Laboratory of Mathematics, University of Saïda-Dr. Moulay Tahar, P. O. Box 138, EN-Nasr, 20000 Saïda, Algeria;2. Department of Mathematics, University of Saïda-Dr. Moulay Tahar, P. O. Box 138, EN-Nasr, 20000 Saïda, Algeria;3. Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbès, P. O. Box 89, Sidi Bel-Abbès 22000, Algeria;4. Departamento de Estatistica, Análise Matemática e Optimización, Instituto de Matemáticas, Universidade de Santiago de Compostela, Santiago de Compostela, Spain;

关键词: differential equation;    katugampola fractional integral;    katugampola fractional derivative;    random solution;    banach space;    ulam stability;    fixed point;   

DOI  :  10.3934/math.2021503

来源: DOAJ

【 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.

【 授权许可】

Unknown