A Result Regarding Finite-Time Stability for Hilfer Fractional Stochastic Differential Equations with Delay-Reference-Cited by-同舟云学术

A Result Regarding Finite-Time Stability for Hilfer Fractional Stochastic Differential Equations with Delay

Published:2023-08-15 Issue:8 Volume:7 Page:622
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Li Man¹,Niu Yujun¹,Zou Jing²^ORCID

Affiliation:

1. School of Mathematics and Physics, Nanyang Institute of Technology, Nanyang 473004, China

2. Department of Mathematics, Guizhou University, Guiyang 550025, China

Abstract

Hilfer fractional stochastic differential equations with delay are discussed in this paper. Firstly, the solutions to the corresponding equations are given using the Laplace transformation and its inverse. Afterwards, the Picard iteration technique and the contradiction method are brought up to demonstrate the existence and uniqueness of understanding, respectively. Further, finite-time stability is obtained using the generalized Grönwall–Bellman inequality. As verification, an example is provided to support the theoretical results.

Funder

Doctoral Research Start-up Fund Project of Nanyang Institute of Technology

Interdisciplinary Sciences Project of Nanyang Institute of Technology

Natural Science Special Research Fund Project of Guizhou University, China

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/8/622/pdf

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5. Fractional optimal control problem for ordinary differential equation in weighted Lebesgue spaces;Bandaliyev;Optim. Lett.,2020

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