数学
独特性
理论(学习稳定性)
背景(考古学)
哈达玛变换
格朗沃尔不等式
应用数学
随机微分方程
类型(生物学)
光学(聚焦)
不动点定理
数学分析
不平等
计算机科学
物理
古生物学
生态学
机器学习
光学
生物
作者
Mohamed Rhaima,Lassaad Mchiri,Abdellatif Ben Makhlouf,Hassen Ahmed
标识
DOI:10.1016/j.chaos.2023.114356
摘要
This study investigates the existence and Ulam–Hyers stability (UHS) results in the context of mixed Hadamard and Riemann–Liouville Fractional Stochastic Differential Equations (HRFSDEs). The primary focus is on establishing the existence and uniqueness of solutions through the application of the Banach Fixed point Theorem (BFT) coupled with standard stochastic analysis techniques. Subsequently, the UHS results for mixed HRFSDEs are explored utilizing the powerful tool of the Gronwall inequality. The theoretical findings shed light on the stability properties of the considered equations. To validate the obtained results, two numerical examples are presented, demonstrating the practical implications of the stability analysis.
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