β -Stability in  q -th Moment of Neutral Impulsive Stochastic Functional Differential Equations with Markovian Switching | Zendy

Lassaad Mchiri | Zendy; Mohamed Rhaima | Zendy

Open Access

β

-Stability in

q

-th Moment of Neutral Impulsive Stochastic Functional Differential Equations with Markovian Switching

Author(s) -

Lassaad Mchiri,

Mohamed Rhaima

Publication year - 2021

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2021/9975897

Subject(s) - mathematics , moment (physics) , stability (learning theory) , algebra over a field , discrete mathematics , pure mathematics , computer science , machine learning , physics , classical mechanics

In this paper, we investigate the β -stability in q-th moment for neutral impulsive stochastic functional differential equations with Markovian switching (NISFDEwMS). Moreover, β -stability in q-th moment is studied by using the Lyapunov techniques and a new Razumikhin-type theorem to prove our result. Finally, we check the main result by a numerical example.

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