Some Existence and Uniqueness Results for a Class of Fractional Stochastic Differential Equations

被引：6

作者：

Kahouli, Omar ^{[1
]}

Ben Makhlouf, Abdellatif ^{[2
]}

Mchiri, Lassaad ^{[3
,4
]}

Kumar, Pushpendra ^{[5
]}

Ben Ali, Naim ^{[6
]}

Aloui, Ali ^{[1
]}

机构：

[1] Univ Hail, Community Coll, Dept Elect Engn, POB 2440, Hail, Saudi Arabia

[2] Jouf Univ, Coll Sci, Math Dept, POB 2014, Sakaka, Saudi Arabia

[3] Univ Sfax, Fac Sci Sfax, Math Dept, Route Soukra,BP 1171, Sfax 3000, Tunisia

[4] Univ Evry Val Essonne, ENSIIE, 1 Sq Resistance, F-91025 Evry, France

[5] Univ Johannesburg, Inst Future Knowledge, POB 524, ZA-2006 Auckland Pk, South Africa

[6] Univ Hail, Coll Engn, Dept Ind Engn, POB 2440, Hail, Saudi Arabia

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 11期

关键词：

fractional calculus; fixed-point theory; RESPECT;

D O I：

10.3390/sym14112336

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Many techniques have been recently used by various researchers to solve some types of symmetrical fractional differential equations. In this article, we show the existence and uniqueness to the solution of sigma-Caputo stochastic fractional differential equations (CSFDE) using the Banach fixed point technique (BFPT). We analyze the Hyers-Ulam stability of CSFDE using the stochastic calculus techniques. We illustrate our results with three examples.

引用

页数：11