Work

Finite time stability analysis for fractional stochastic neutral delay differential equations

Year: 2024

Type: article

Abstract: In this manuscript, we investigate a fractional stochastic neutral differential equation with time delay, which includes both deterministic and stochastic components. Our primary objective is to rigorously prove the existence of a unique solution that satisfies given initial conditions. Furthermore, we extend our research to investigate the finite-time stability of the system by examining trajectory behavior over a given period. We employ advanced mathematical approaches to systematically prove finite-time stability, providing insights on convergence and stability within the stated interval. Using illustrative examples, we strengthen this all-encompassing examination into the complicated dynamics and stability features of fractionally ordered stochastic systems with time delays. The implications of our results extend to various fields, such as control theory, engineering, and financial mathematics, where understanding the stability of complex systems is crucial.

Source: Journal of Applied Mathematics and Computing

DOI: 10.1007/s12190-024-02174-5

Authors: Javad A. Asadzade, Nazim I. Mahmudov

Institutions: Eastern Mediterranean University, Jadara University, Azerbaijan State University of Economics

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funder: Doğu Akdeniz Üniversitesi