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

共 21 条

[1] Weighted Fractional Neutral Functional Differential Equations [J].

Abdo, Mohammed S. ;

Panchal, Satish K. .

JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2018, 11 (05) :535-549

[2]

Bana J., 1980, MEASURES NONCOMPACTN

[3] Existence results for fractional order functional differential equations with infinite delay [J].

Benchohra, A. ;

Henderson, J. ;

Ntouyas, S. K. ;

Ouahab, A. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 338 (02) :1340-1350

[4] Semilinear fractional differential equations with infinite delay and non-instantaneous impulses [J].

Benchohra, Mouffak ;

Litimein, Sara ;

Nieto, Juan J. .

JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 21 (01)

[5] STOCHASTIC DIFFERENTIAL EQUATIONS IN HILBERT SPACE [J].

CURTAIN, RF ;

FALB, PL .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1971, 10 (03) :412-&

[6]

Deng S., 2018, J MATH ANAL APPL

[7] Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type [J].

Diethelm, Kai .

ANALYSIS OF FRACTIONAL DIFFERENTIAL EQUATIONS: AN APPLICATION-ORIENTED EXPOSITION USING DIFFERENTIAL OPERATORS OF CAPUTO TYPE, 2010, 2004 :3-+

[8] Controllability of fractional stochastic evolution equations with nonlocal conditions and noncompact semigroups [J].

Ding, Yonghong ;

Li, Yongxiang .

OPEN MATHEMATICS, 2020, 18 :616-631

[9]

Diop A., 2020, INT J PROBAB STOCH P

[10] Weighted fractional differential equations with infinite delay in Banach spaces [J].

Dong, Qixiang ;

Liu, Can ;

Fan, Zhenbin .

OPEN MATHEMATICS, 2016, 14 :370-383

← 1 2 3 →