Results 51 to 60 of about 95 (88)

Uniqueness of solutions and Ulam–Hyers–Mittag-Leffler stability for Hammerstein-type Hilfer delay differential equations of fractional order

Nonlinear Engineering
In this paper, we discuss the existence of a unique solution and Ulam–Hyers–Mittag-Leffler (UHML) stability for a nonlinear Hammerstein-type ψ-Hilfer delay differential equation of fractional order (ψ-HFDDE) in the configuration of several variable time ...
Tunҫ Cemil, Ahmad Bashir, Tunҫ Osman
doaj   +1 more source

A robust collocation method for time fractional PDEs based on mean value theorem and cubic B-splines

Partial Differential Equations in Applied Mathematics
This paper explains and applies a numerical technique utilizing the cubic B-spline functions and the mean value theorem (MVT) to solve a general time fractional partial differential equation (FPDE).
Adel R. Hadhoud, Fatma M. Gaafar, Faisal E. Abd Alaal, Ayman A. Abdelaziz, Salah Boulaaras, Taha Radwan   +5 more
doaj   +1 more source

Stability of solutions to abstract evolution equations with delay

, 2020
An equationu = A(t)u+B(t)F (t, u(t−τ )), u(t) = v(t), −τ ≤ t ≤ 0 is considered, A(t) and B(t) are linear operators in a Hilbert space H, u = du dt , F : H → H is a non-linear operator, τ > 0 is a constant. Under some assumption on A(t), B(t) and F (t,
Alexander Ramm, A G Ramm
core  

Role of limited medical resources in an epidemic model with media report and general birth rate

Infectious Disease Modelling
This paper formulates an SEIRSHM epidemic model with general birth rate, media report and limited medical resources. Firstly, the well-posedness of the solutions and the extinction of the disease are discussed.
Yicheng Hao, Yantao Luo, Zhidong Teng
doaj   +1 more source

Простые тесты устойчивости для дифференциальных уравнений задержки второго порядка

, 2018
For linear and nonlinear delay differential equations of the second order with damping terms exponential stability and global asymptotic stability conditions are obtained.
Березанский, Леонид
core   +1 more source

Hopf Bifurcation of a Delay Commensalism System with Density Dependent Birth Rates [PDF]

In ecology, commensalism and amensalism models are two kinds of important and interesting models. They have attracted much attention of ecologists and mathematicians in recent years.
Li, Tianyang, Wang, Qiru
core   +1 more source

A note on the continuability and boundedness of solutions to a class of vector differential equations of third order with finite delay

, 2018
In this article, we use Lyapunov's second (or direct) method, by building an appropriate Lyapunov functional. Sufficient conditions which warrant the continuability and  boundedness of all solutions to a kind of nonlinear vector differential equations of
Ayhan, Timur
core  

Dynamics of a non-autonomous delay mosquito population suppression model with Wolbachia-infected male mosquitoes

Journal of Biological Dynamics
In this paper, we develop a non-autonomous delay differential equation model for mosquito population suppression. After establishing the positiveness and boundedness of the solutions, we study the dynamical behaviours of the model with or without ...
Yufeng Wang, Jianshe Yu
doaj   +1 more source

Periodic dynamics of a general switching dynamical system

European Journal of Applied Mathematics
Seasonal changes and cyclical human activities (such as periodic fishing bans, Wolbachia-based mosquito population control, and school term breaks) have significant impacts on population dynamics.
Qian Ding, Jianshe Yu, Zhiming Guo, Yuming Chen, Yunfeng Liu   +4 more
doaj   +1 more source

Actuator and sensor fault estimation for T–S fuzzy fractional-order systems based on adaptive and sliding mode observers

Measurement + Control
This study delves into the issue of estimating faults in actuators and sensors for a specific category of uncertain fractional-order nonlinear systems (FONSs).
Slim Dhahri, Omar Naifar, Essia Ben Alaia   +2 more
doaj   +1 more source