SOME RESULTS ON PROPORTIONAL CAPUTO NEUTRAL FRACTIONAL STOCHASTIC DIFFERENTIAL EQUATIONS

被引：6
作者：
Ben Makhlouf, Abdellatif [1 ]
Sallay, Jihen [1 ]
机构：
[1] Sfax Univ, Fac Sci, Dept Math, BP 1171, Sfax, Tunisia
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2024年 / 17卷 / 10期
关键词：
Existence and uniqueness; Ulam-Hyers stability; proportional fractional derivative; stochastic neutral differential equation; RESPECT;
D O I：
10.3934/dcdss.2024104
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper explores Proportional Neutral Fractional Stochastic Differential Equations (PNFSDEs), emphasizing their existence, uniqueness, and Hyers-Ulam Stability (HUS). The continuous dependence of solutions on initial data and their regularity in time are also established. By using the Banach Fixed Point Theorem (BFPT), It & oacute;'s isometry formula, and some classical inequalities, we obtain the theoretical findings. Finally, we present an example to illustrate the effectiveness of our results.
引用
收藏
页码：3102 / 3115
页数：14
相关论文
共 26 条
  • [1] On solutions of a hybrid generalized Caputo-type problem via the noncompactness measure in the generalized version of Darbo's criterion
    Adjimi, Naas
    Boutiara, Abdellatif
    Samei, Mohammad Esmael
    Etemad, Sina
    Rezapour, Shahram
    Kaabar, Mohammed K. A.
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2023, 2023 (01)
  • [2] Ulam-Hyers stability of Caputo type fractional stochastic neutral differential equations
    Ahmadova, Arzu
    Mahmudov, Nazim, I
    [J]. STATISTICS & PROBABILITY LETTERS, 2021, 168
  • [3] MATHEMATICAL MODELING AND STABILITY ANALYSIS OF THE DYNAMICS OF MONKEYPOX VIA FRACTIONAL-CALCULUS
    Alharbi, Rabab
    Jan, Rashid
    Alyobi, Sultan
    Altayeb, Yousif
    Khan, Ziad
    [J]. FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2022, 30 (10)
  • [4] Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications
    Almeida, Ricardo
    Malinowska, Agnieszka B.
    Monteiro, M. Teresa T.
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (01) : 336 - 352
  • [5] A Caputo fractional derivative of a function with respect to another function
    Almeida, Ricardo
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 44 : 460 - 481
  • [6] Alqudah MA, 2024, QUAL THEOR DYN SYST, V23, DOI 10.1007/s12346-023-00951-4
  • [7] Hyers-Ulam stability of Hadamard fractional stochastic differential equations
    Ben Makhlouf, Abdellatif
    Mchiri, Lassaad
    Rhaima, Mohamed
    Sallay, Jihen
    [J]. FILOMAT, 2023, 37 (30) : 10219 - 10228
  • [8] Some existence and uniqueness results for a class of proportional Liouville-Caputo fractional stochastic differential equations
    Ben Makhlouf, Abdellatif
    Mchiri, Lassaad
    Srivastava, Hari Mohan
    [J]. BULLETIN DES SCIENCES MATHEMATIQUES, 2023, 189
  • [9] HADAMARD ITO-DOOB STOCHASTIC FRACTIONAL ORDER SYSTEMS
    Ben Makhlouf, Abdellatif
    Mchiri, Lassaad
    Arfaoui, Hassen
    Dhahri, Slim
    El-Hady, El-Sayed
    Cherif, Bahri
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2023, 16 (08): : 2060 - 2074
  • [10] Stability Results of Some Fractional Neutral Integrodifferential Equations with Delay
    Ben Makhlouf, Abdellatif
    El-hady, El-sayed
    Boulaaras, Salah
    Mchiri, Lassaad
    [J]. JOURNAL OF FUNCTION SPACES, 2022, 2022
123