Existence results for a coupled system of fractional stochastic differential equations involving Hilfer derivative

被引：0
|
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：
RANDOM OPERATORS AND STOCHASTIC EQUATIONS | 2024年 / 32卷 / 04期
关键词：
Hilfer fractional derivative; stochastic differential equations; fixed point theorems; APPROXIMATE CONTROLLABILITY;
D O I：
10.1515/rose-2024-2015
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this paper, we consider a coupled system of fractional stochastic differential equations involving the Hilfer derivative of order (1) (2) < alpha < 1 . Under some assumptions, we prove the existence of mild solutions for our system based on Perov's and Schaefer's fixed point theorems. An example illustrating our result is provided.
引用
收藏
页码：313 / 327
页数：15
相关论文
共 50 条
  • [41] Ulam stability for nonlocal differential equations involving the Hilfer-Katugampola fractional derivative
    Benchohra, Mouffak
    Bouriah, Soufyane
    Henderson, Johnny
    AFRIKA MATEMATIKA, 2021, 32 (5-6) : 829 - 851
  • [42] ON A COUPLED SYSTEM OF HILFER AND HILFER-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES
    Abbas, Said
    Benchohra, Mouffak
    Lazreg, Jamal E.
    Nieto, Juan J.
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2018,
  • [43] Qualitative analysis of fractional differential equations with ψ-Hilfer fractional derivative
    Harikrishnan, Sugumaran
    Baghani, Omid
    Kanagarajan, Kuppusamy
    COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2022, 10 (01): : 1 - 11
  • [44] Existence of Solutions for a Coupled System of Nonlinear Implicit Differential Equations Involving ?-Fractional Derivative with Anti Periodic Boundary Conditions
    Alghanmi, Madeaha
    Agarwal, Ravi P.
    Ahmad, Bashir
    QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (01)
  • [45] Existence and stability results for quaternion fuzzy fractional differential equations in the sense of Hilfer
    Yang, Zhanpeng
    Ren, Wenjuan
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2018, 34 (01) : 167 - 175
  • [46] Initial time difference quasilinearization method for fractional differential equations involving generalized Hilfer fractional derivative
    Kishor D. Kucche
    Ashwini D. Mali
    Computational and Applied Mathematics, 2020, 39
  • [47] Study of existence results for fractional functional differential equations involving Riesz-Caputo derivative
    Tiwari, Pratima
    Pandey, Rajesh K.
    Pandey, D. N.
    JOURNAL OF ANALYSIS, 2024, 32 (3): : 1929 - 1949
  • [48] Existence and data dependence results for fractional differential equations involving atangana-baleanu derivative
    Sagar T. Sutar
    Kishor D. Kucche
    Rendiconti del Circolo Matematico di Palermo Series 2, 2022, 71 : 647 - 663
  • [49] Existence and data dependence results for fractional differential equations involving atangana-baleanu derivative
    Sutar, Sagar T.
    Kucche, Kishor D.
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2022, 71 (02) : 647 - 663
  • [50] Initial time difference quasilinearization method for fractional differential equations involving generalized Hilfer fractional derivative
    Kucche, Kishor D.
    Mali, Ashwini D.
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (01):
12345