Qualitative Analysis of Impulsive Stochastic Hilfer Fractional Differential Equation

被引：0

作者：

Khalil, Hamza ^{[1
]}

Zada, Akbar ^{[1
]}

Moussa, Sana Ben ^{[2
]}

Popa, Ioan-Lucian ^{[3
,4
]}

Kallekh, Afef ^{[5
]}

机构：

[1] Univ Peshawar, Dept Math, Peshawar, Khyber Pakhtunk, Pakistan

[2] King Khalid Univ, Fac Sci, Dept Chem, Abha 61413, Saudi Arabia

[3] 1 Decembrie 1918 Univ Alba Iulia, Dept Comp Math & Elect, Alba Iulia 510009, Romania

[4] Transilvania Univ Brasov, Fac Math & Comp Sci, Iuliu Maniu St 50, Brasov 500091, Romania

[5] King Khalid Univ, Fac Sci, Dept Math, Abha 61413, Saudi Arabia

来源：

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2024年 / 23卷 / SUPPL 1期

关键词：

Neutral; Existence and uniqueness; Hilfer derivative; Stochastic differential equation; Ulam's stability; EXISTENCE; STABILITY;

D O I：

10.1007/s12346-024-01149-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper proves the qualitative properties like existence, uniqueness and Ulam-Hyers-Rassias stability for a solution of a nonlinear impulsive Hilfer fractional stochastic differential equation with non-instantaneous impulses. The Banach fixed point theorem and Cauchy inequality are utilized for obtaining our results. The Ulam-Hyers-Rassias stability is presented under specific assumptions. To verify the theoretical results an example is presented at the end.

引用

页数：21

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