Existence and Finite-Time Stability Results for Impulsive Caputo-Type Fractional Stochastic Differential Equations with Time Delays
Abstract: This paper mainly discusses the existence and finite-time stability of solutions for impulsive fractional stochastic differential equations (IFSDEs). By applying the Picard-Lindelöf iteration method of successive approximation scheme, we establish the existence results of solutions. Subsequently, the uniqueness of solution is derived by the method of contradiction. In addition, we investigate the finite-time stability by means of the generalized Grönwall-Bellman inequality. As an application, examples are provided to expound our theoretical conclusions.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Existence and Finite-Time Stability Results for Impulsive Caputo-Type Fractional Stochastic Differential Equations with Time Delays ; volume:73 ; number:2 ; year:2023 ; pages:387-406 ; extent:20
Mathematica Slovaca ; 73, Heft 2 (2023), 387-406 (gesamt 20)
- Creator
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Tian, Mengquan
Luo, Danfeng
- DOI
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10.1515/ms-2023-0030
- URN
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urn:nbn:de:101:1-2023033114020719627767
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 11:02 AM CEST
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Associated
- Tian, Mengquan
- Luo, Danfeng
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