DOAJ Open Access 2023

A Result Regarding Finite-Time Stability for Hilfer Fractional Stochastic Differential Equations with Delay

Man Li Yujun Niu Jing Zou

Abstrak

Hilfer fractional stochastic differential equations with delay are discussed in this paper. Firstly, the solutions to the corresponding equations are given using the Laplace transformation and its inverse. Afterwards, the Picard iteration technique and the contradiction method are brought up to demonstrate the existence and uniqueness of understanding, respectively. Further, finite-time stability is obtained using the generalized Grönwall–Bellman inequality. As verification, an example is provided to support the theoretical results.

Topik & Kata Kunci

Thermodynamics Mathematics Analysis

Penulis (3)

Man Li

Yujun Niu

Jing Zou

Format Sitasi

APA MLA BibTeX

Li, M., Niu, Y., Zou, J. (2023). A Result Regarding Finite-Time Stability for Hilfer Fractional Stochastic Differential Equations with Delay. https://doi.org/10.3390/fractalfract7080622

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.3390/fractalfract7080622
Akses: Open Access ✓