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
  • [1] Existence results for coupled systems of fractional stochastic differential equations involving Hilfer derivatives
    Arioui, Fatima Zahra
    RANDOM OPERATORS AND STOCHASTIC EQUATIONS, 2025, 33 (01) : 23 - 37
  • [2] Existence Results for a Nonlocal Coupled System of Sequential Fractional Differential Equations Involving ψ-Hilfer Fractional Derivatives
    Wongcharoen, Athasit
    Ntouyas, Sotiris K.
    Wongsantisuk, Phollakrit
    Tariboon, Jessada
    ADVANCES IN MATHEMATICAL PHYSICS, 2021, 2021
  • [3] EXISTENCE AND STABILITY RESULTS FOR DIFFERENTIAL EQUATIONS WITH COMPLEX ORDER INVOLVING HILFER FRACTIONAL DERIVATIVE
    Harikrishnan, S.
    Kanagarajan, K.
    Elsayed, E. M.
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, 10 (01): : 94 - 101
  • [4] Existence theory of fractional coupled differential equations via ψ-Hilfer fractional derivative
    Harikrishnan, Sugumaran
    Shah, Kamal
    Kanagarajan, Kuppusamy
    RANDOM OPERATORS AND STOCHASTIC EQUATIONS, 2019, 27 (04) : 207 - 212
  • [5] Qualitative Analysis of Coupled Fractional Differential Equations involving Hilfer Derivative
    Dhawan, Kanika
    Vats, Ramesh Kumar
    Agarwal, Ravi P.
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2022, 30 (01): : 191 - 217
  • [6] EXISTENCE AND STABILITY RESULTS TO A CLASS OF FRACTIONAL RANDOM IMPLICIT DIFFERENTIAL EQUATIONS INVOLVING A GENERALIZED HILFER FRACTIONAL DERIVATIVE
    Jarad, Fahd
    Harikrishnan, Sugumaran
    Shah, Kamal
    Kanagarajan, Kuppusamy
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (03): : 723 - 739
  • [7] The Existence Results of Solutions to the Nonlinear Coupled System of Hilfer Fractional Differential Equations and Inclusions
    Ma, Renhao
    Meng, Yuan
    Pang, Huihui
    FRACTAL AND FRACTIONAL, 2024, 8 (04)
  • [8] EXISTENCE AND STABILITY RESULTS FOR COUPLED SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING AB-CAPUTO DERIVATIVE
    Mehmood, Nayyar
    Abbas, Ahsan
    Akgul, Ali
    Abdeljawad, Thabet
    Alqudah, Manara A.
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2023, 31 (02)
  • [9] Fractional Integro-Differential Equations Involving ψ-Hilfer Fractional Derivative
    Abdo, Mohammed S.
    Panchal, Satish K.
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2019, 11 (02) : 338 - 359
  • [10] Existence and Attractivity Results for Hilfer Fractional Differential Equations
    Abbas S.
    Benchohra M.
    Henderson J.
    Journal of Mathematical Sciences, 2019, 243 (3) : 347 - 357
12345