Novel Results on Finite-Time Stability of Solutions for Stochastic Ψ-Hilfer Fractional System. (31st January 2023)

• Record Type: Journal Article
• Authors: Tian, Mengquan; Luo, Danfeng; Luo, Zhiguo
• Other Names: Jacob Kavikumar Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2023(2023)
• Publication Date: 2023-01-31
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2023/3642394
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This article studies a new kind of Ψ -Hilfer fractional system driven by m -dimensional Brownian motion. By utilizing the generalized Laplace transform and its inverse, the contraction mapping principle, and the properties of a semigroup, we establish the uniqueness of the solution. In addition, finite-time stability is investigated by means of the properties of norm and inequalities scaling technique. As verification, an example is given to show the deduced conclusions.