On the Behavior of Solutions for a Class of Nonlinear Viscoelastic Fourth-Order p(x)-Laplacian Equation

Shahrouzi, Mohammad; Ferreira, J.; Pışkın, Erhan; Zennir, Khaled

doi:10.1007/s00009-023-02423-0

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2023

2024

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Cited by 6 publications

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“…Extending these results to consider the question of stability (qualitative studies) will make it possible to advance the study in this direction, which will be our next project; see [31][32][33][34][35][36][37].…”

Section: Conclusion and Discussion Of The Resultsmentioning

confidence: 99%

A System of Coupled Impulsive Neutral Functional Differential Equations: New Existence Results Driven by Fractional Brownian Motion and the Wiener Process

Moumen,

Ferhat,

Benaissa Cherif

et al. 2023

Mathematics

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Conditions for the existence and uniqueness of mild solutions for a system of semilinear impulsive differential equations with infinite fractional Brownian movements and the Wiener process are established. Our approach is based on a novel application of Burton and Kirk’s fixed point theorem in extended Banach spaces. This paper aims to extend current results to a differential-inclusions scenario. The motivation of this paper for impulsive neutral differential equations is to investigate the existence of solutions for impulsive neutral differential equations with fractional Brownian motion and a Wiener process (topics that have not been considered and are the main focus of this paper).

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