Results on nonlocal stochastic integro-differential equations driven by a fractional Brownian motion

被引：2

作者：

Issaka, Louk-Man ^{[1
]}

Diop, Mamadou Abdoul ^{[1
]}

Hmoyed, Hasna ^{[1
]}

机构：

[1] Univ Gaston Berger St Louis, Unite Format & Rech Sci Appl & Technol UFR SAT, Dept Math, BP 234, St Louis, Senegal

来源：

OPEN MATHEMATICS | 2020年 / 18卷

关键词：

resolvent operators; C-0-semigroup; stochastic functional integro-differential equations; nonlocal condition; fractional Brownian motion; mild solutions; DELAY EVOLUTION-EQUATIONS; MILD SOLUTIONS; EXISTENCE; BEHAVIOR;

D O I：

10.1515/math-2020-0063

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the existence of mild solutions for a class of non-local stochastic integro- differential equations driven by a fractional Brownian motion with Hurst parameter H epsilon (1/2, 1). Discussions are based on resolvent operators in the sense of Grimmer, stochastic analysis theory and fixed-point criteria. As a final point, an example is given to illustrate the effectiveness of the obtained theory.

引用

页码：1097 / 1112

页数：16

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