On ν-Level Interval of Fuzzy Set for Fractional Order Neutral Impulsive Stochastic Differential System-Reference-Cited by-同舟云学术

On ν-Level Interval of Fuzzy Set for Fractional Order Neutral Impulsive Stochastic Differential System

Published:2023-04-23 Issue:9 Volume:11 Page:1990
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Shalini Manjitha Mani¹²^ORCID,Alessa Nazek³^ORCID,Kandasamy Banupriya²^ORCID,Loganathan Karuppusamy⁴^ORCID,Rangasamy Maheswari¹^ORCID

Affiliation:

1. Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore 641202, Tamil Nadu, India

2. Department of Mathematics and Computer Applications, PSG College of Arts and Science, Coimbatore 641014, Tamil Nadu, India

3. Department of Mathematical Sciences, College of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia

4. Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur 303007, Rajasthan, India

Abstract

The main concern of this paper is to investigate the existence and uniqueness of a fuzzy neutral impulsive stochastic differential system with Caputo fractional order driven by fuzzy Brownian motion using fuzzy numbers with bounded ν-level intervals that are convex, normal and upper-semicontinuous. Fuzzy Itô process, Grönwall’s inequality and the Banach fixed-point theorem are employed to probe the local and global existence. An analytical example is provided to examine the theoretical results.

Funder

Nourah Bint Abdulrahman University

Princess Nourah Bint Abdulrahman University, Riyadh, Saudi Arabia

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/9/1990/pdf

Reference42 articles.

1. Solvability and optimal controls of noninstantaneous impulsive stochastic fractional differential equation of order q∈(1, 2);Dhayal;Stochastics,2020

2. Podlubny, I. (1999). Fractioanl Differential Equations: An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applicatons, Academic Press.

3. New results on Caputo fractional-order neutral differential inclusions without compactness;Alqudah;Adv. Differ. Equ.,2019

4. Existence results for fractional neutral integro-differential equations with state-dependent delay;Arjunan;Comput. Math. Appl.,2011

5. Solutions to fractional neutral delay differential nonlocal systems;Valliammal;Chaos Solitons Fractals,2020