Existence and uniqueness of solutions for stochastic differential equations of fractional-order q > 1 with finite delays

被引：0

作者：

Zhang, Xianmin ^{[1
]}

Agarwal, Praveen ^{[2
]}

Liu, Zuohua ^{[3
]}

Peng, Hui ^{[1
]}

You, Fang ^{[1
]}

Zhu, Yajun ^{[1
]}

机构：

[1] Jiujiang Univ, Sch Elect Engn, Jiujiang 332005, Jiangxi, Peoples R China

[2] Anand Int Coll Engn, Dept Math, Jaipur 303012, Rajasthan, India

[3] Chongqing Univ, Sch Chem & Chem Engn, Chongqing 400044, Peoples R China

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

基金：

中国国家自然科学基金;

关键词：

stochastic differential equations; stochastic fractional differential equations; existence of solutions; fractional order; GENERAL-SOLUTION; STABILITY;

D O I：

10.1186/s13662-017-1169-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with stochastic differential equations of fractional-order q is an element of (m 1, m) (where m is an element of Z and m >= 2) with finite delay at a space BC([-tau, 0]; R-d). Some sufficient conditions are obtained for the existence and uniqueness of solutions for these stochastic fractional differential systems by applying the Picard iterations method and the generalized Gronwall inequality.

引用

页数：18

共 50 条

[41] Existence and pathwise uniqueness of solutions for stochastic differential equations involving the local time at point zero
Hiderah, Kamal
STOCHASTIC ANALYSIS AND APPLICATIONS, 2023, 41 (02) : 276 - 290
[42] The existence of solutions for fuzzy differential equations with infinite delays
Park, JY
Lee, SY
Kim, HM
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2000, 31 (02): : 137 - 151
[43] Existence and Uniqueness of Solutions of a Class of Quantum Stochastic Evolution Equations
Bishop, S. A.
Ayoola, E. O.
JOURNAL OF MATHEMATICAL EXTENSION, 2021, 15 (02)
[44] ON EXISTENCE AND UNIQUENESS PROPERTIES FOR SOLUTIONS OF STOCHASTIC FIXED POINT EQUATIONS
Beck, Christian
Gonon, Lukas
Hutzenthaler, Martin
Jentzen, Arnulf
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (09): : 4927 - 4962
[45] EXISTENCE AND STABILIZATION FOR IMPULSIVE DIFFERENTIAL EQUATIONS OF SECOND ORDER WITH MULTIPLE DELAYS
Pinelas, Sandra
Tunc, Osman
Korkmaz, Erdal
Tunc, Cemil
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2024, 2024 (07)
[46] Predictability and uniqueness of weak solutions of the stochastic differential equations
Merkle, Ana
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2023, 31 (01): : 207 - 219
[47] Some existence and uniqueness results for a class of proportional Liouville-Caputo fractional stochastic differential equations
Ben Makhlouf, Abdellatif
Mchiri, Lassaad
Srivastava, Hari Mohan
BULLETIN DES SCIENCES MATHEMATIQUES, 2023, 189
[48] Existence and moment estimate for solutions of highly nonlinear fractional stochastic hybrid differential equations
Lu, Cuizhi
Dong, Hailing
2024 14TH ASIAN CONTROL CONFERENCE, ASCC 2024, 2024, : 2455 - 2460
[49] Finite-Time Synchronization for Stochastic Fractional-Order Memristive BAM Neural Networks with Multiple Delays
Chen, Lili
Gong, Minghao
Zhao, Yanfeng
Liu, Xin
FRACTAL AND FRACTIONAL, 2023, 7 (09)
[50] The general solution for impulsive differential equations with Riemann-Liouville fractional-order q ∈ (1,2)
Zhang, Xianmin
Agarwal, Praveen
Liu, Zuohua
Peng, Hui
OPEN MATHEMATICS, 2015, 13 : 908 - 930

← 1 2 3 4 5 →