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

Manjitha Mani Shalini, Nazek Alessa (), Banupriya Kandasamy, Karuppusamy Loganathan () and Maheswari Rangasamy
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Manjitha Mani Shalini: Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore 641202, Tamil Nadu, India
Nazek Alessa: Department of Mathematical Sciences, College of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Banupriya Kandasamy: Department of Mathematics and Computer Applications, PSG College of Arts and Science, Coimbatore 641014, Tamil Nadu, India
Karuppusamy Loganathan: Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur 303007, Rajasthan, India
Maheswari Rangasamy: Department of Mathematics, Sri Eshwar College of Engineering, Coimbatore 641202, Tamil Nadu, India

Mathematics, 2023, vol. 11, issue 9, 1-18

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.

Keywords: fuzzy stochastic differential equation; fuzzy Itô process; neutral impulsive system; Caputo fractional derivative; Banach fixed-point theorem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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