Well-Posedness and Hyers-Ulam Stability of Fractional Stochastic Delay Systems Governed by the Rosenblatt Process

被引：0

作者：

Alnemer, Ghada ^{[1
]}

Hosny, Mohamed ^{[2
]}

Udhayakumar, Ramalingam ^{[3
]}

Elshenhab, Ahmed M. ^{[4
]}

机构：

[1] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

[2] Benha Univ, Benha Fac Engn, Dept Elect Engn, Banha 13511, Egypt

[3] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, India

[4] Mansoura Univ, Fac Sci, Dept Math, Mansoura 35516, Egypt

来源：

FRACTAL AND FRACTIONAL | 2024年 / 8卷 / 06期

关键词：

well-posedness; Hyers-Ulam stability; fractional stochastic delay system; Rosenblatt process; delayed Mittag-Leffler matrix function; Krasnoselskii's fixed point theorem; DIFFERENTIAL-EQUATIONS; APPROXIMATE CONTROLLABILITY; EXISTENCE; DRIVEN;

D O I：

10.3390/fractalfract8060342

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under the effect of the Rosenblatt process, the well-posedness and Hyers-Ulam stability of nonlinear fractional stochastic delay systems are considered. First, depending on fixed-point theory, the existence and uniqueness of solutions are proven. Next, utilizing the delayed Mittag-Leffler matrix functions and Gr & ouml;nwall's inequality, sufficient criteria for Hyers-Ulam stability are established. Ultimately, an example is presented to demonstrate the effectiveness of the obtained findings.

引用

页数：15

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