Weighted fractional stochastic integro-differential equation with infinite delay

被引：2

作者：

Arioui, Fatima Zahra ^{[1
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Stat & Stochast Proc, POB 89, Sidi Bel Abbes 22000, Algeria

来源：

ARABIAN JOURNAL OF MATHEMATICS | 2023年 / 12卷 / 03期

关键词：

35A; 01; 60; H; 10; 20; FUNCTIONAL-DIFFERENTIAL EQUATIONS; CONTROLLABILITY;

D O I：

10.1007/s40065-023-00430-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider a weighted fractional stochastic integro-differential equation with infinite delay and nonzero initial values involving a Riemann-Liouville fractional derivative of order 1/2 < a < 1. The existence of a mild solution is investigated using fractional calculus, stochastic analysis, and the fixed point theorem. An example is also provided to illustrate the obtained result.

引用

页码：499 / 511

页数：13

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