Novel Results on Finite-Time Stability of Solutions for Stochastic Ψ-Hilfer Fractional System

Mengquan Tian, Danfeng Luo, Zhiguo Luo and Kavikumar Jacob

Mathematical Problems in Engineering, 2023, vol. 2023, 1-13

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.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:3642394

DOI: 10.1155/2023/3642394

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