Weighted fractional stochastic integro-differential equation with infinite delay

被引：1
|
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.
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页码：499 / 511
页数：13
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