Ulam–Hyers Stability of Pantograph Hadamard Fractional Stochastic Differential Equations-Reference-Cited by-同舟云学术

Ulam–Hyers Stability of Pantograph Hadamard Fractional Stochastic Differential Equations

Published:2023-08-13 Issue:8 Volume:15 Page:1583
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Kahouli Omar¹²,Albadran Saleh³^ORCID,Aloui Ali¹,Ben Makhlouf Abdellatif⁴^ORCID

Affiliation:

1. Department of Electronics Engineering, Applied College, University of Ha’il, Ha’il 2440, Saudi Arabia

2. Control & Energies Management (CEM-Lab), National Engineering School of Sfax, University of Sfax, Sfax 3038, Tunisia

3. Department of Electrical Engineering, College of Engineering, University of Ha’il, Ha’il 2440, Saudi Arabia

4. Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Sfax 1171, Tunisia

Abstract

In this article, we investigate the existence and uniqueness Theorem of Pantograph Hadamard fractional stochastic differential equations (PHFSDE) using the fixed-point Theorem of Banach (BFPT). According to the generalized Gronwall inequalities, we prove the stability in the sense of Ulam–Hyers (UHS) of PHFSDE. We give some examples to show the effectiveness of our results.

Funder

Scientific Research Deanship at University of Ha’il-Saudi Arabia

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/8/1583/pdf

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