Results 1 to 10 of about 36,359 (205)

Lyapunov Stability of the Generalized Stochastic Pantograph Equation [PDF]

Journal of Mathematics, 2018
The purpose of the paper is to study stability properties of the generalized stochastic pantograph equation, the main feature of which is the presence of unbounded delay functions. This makes the stability analysis rather different from the classical one.
Ramazan Kadiev, Arcady Ponosov
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Stability of Generalized Proportional Caputo Fractional Differential Equations by Lyapunov Functions

Fractal and Fractional, 2022
In this paper, nonlinear nonautonomous equations with the generalized proportional Caputo fractional derivative (GPFD) are considered. Some stability properties are studied by the help of the Lyapunov functions and their GPFDs.
Ravi Agarwal, Snezhana Hristova, Donal O’Regan   +2 more
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Nonlinear Stochastic Dynamics of the Intermediate Dispersive Velocity Equation with Soliton Stability and Chaos [PDF]

Entropy
This paper examines the nonlinear behavior of the generalized stochastic intermediate dispersive velocity (SIdV) equation, which has been widely analyzed in a non-noise deterministic framework but has yet to be studied in any depth in the presence of ...
Samad Wali, Maham Munawar, Atef Abdelkader, Adil Jhangeer, Mudassar Imran   +4 more
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Fractional order effects on solitary waves and chaotic regimes in the mKdV Burgers equation [PDF]

Scientific Reports
This paper examines the space–time fractional modified Korteweg-de Vries Burgers (mKdV-Burgers) equation to address nonlinear wave dynamics of the equation through the improved F-expansion representation with the Riccati equation.
Md. Antajul Islam, Nasrin Nahar Rimu, Pinakee Dey   +2 more
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Comparison of neural and traditional techniques for soliton structures and dynamical behavior in a double-chain DNA model [PDF]

Scientific Reports
In this study, the nonlinear wave dynamics of the Double-Chain DNA model, a molecular system that captures the longitudinal and transverse interactions between two complementary nucleotide chains, are investigated.
Sheikh Zain Majid, Fatma Nur Kaya Sağlam, Mohammad Safi Ullah   +2 more
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PHSS Iterative Method for Solving Generalized Lyapunov Equations

Mathematics, 2019
Based on previous research results, we propose a new preprocessing HSS iteration method (PHSS) for the generalized Lyapunov equation. At the same time, the corresponding inexact PHSS algorithm (IPHSS) is given from the angle of application.
Shi-Yu Li, Hai-Long Shen, Xin-Hui Shao
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Asymptotic Behavior of Delayed Reaction-Diffusion Neural Networks Modeled by Generalized Proportional Caputo Fractional Partial Differential Equations

Fractal and Fractional, 2023
In this paper, a delayed reaction-diffusion neural network model of fractional order and with several constant delays is considered. Generalized proportional Caputo fractional derivatives with respect to the time variable are applied, and this type of ...
Ravi P. Agarwal, Snezhana Hristova, Donal O’Regan   +2 more
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Matrix iteration algorithms for solving the generalized Lyapunov matrix equation

Advances in Difference Equations, 2021
In this paper, we first recall some well-known results on the solvability of the generalized Lyapunov equation and rewrite this equation into the generalized Stein equation by using Cayley transformation.
Juan Zhang, Huihui Kang, Shifeng Li
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Existence and Lyapunov Stability of Periodic Solutions for Generalized Higher-Order Neutral Differential Equations

Boundary Value Problems, 2011
Existence and Lyapunov stability of periodic solutions for a generalized higher-order neutral differential equation are established.
Jingli Ren, Wing-Sum Cheung, Zhibo Cheng
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Stability for generalized Caputo proportional fractional delay integro-differential equations

Boundary Value Problems, 2022
A scalar nonlinear integro-differential equation with time-variable and bounded delays and generalized Caputo proportional fractional derivative is considered. The main goal of this paper is to study the stability properties of the zero solution. Results
Martin Bohner, Snezhana Hristova
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