Mathematics (Apr 2023)

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

  • Manjitha Mani Shalini,
  • Nazek Alessa,
  • Banupriya Kandasamy,
  • Karuppusamy Loganathan,
  • Maheswari Rangasamy

DOI
https://doi.org/10.3390/math11091990
Journal volume & issue
Vol. 11, no. 9
p. 1990

Abstract

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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