Results 21 to 30 of about 193,949 (265)

A New Numerical Mechanism for Solving Two Models of Variable Order Delay Differential Equations [PDF]

open access: yesDelta Journal of Science, 2022
The current paper offers an effective numerical mechanism for solving two models of variable order (VO) linear/nonlinear delay differential equations; the models represent the variable order delay differential equations (VODDEs) and the variable order ...
Ayman Mahmoud, Hoda Ahmed, Marina Melad
doaj   +1 more source

Existence and Ulam Type Stability for Impulsive Fractional Differential Systems with Pure Delay

open access: yesFractal and Fractional, 2022
Through literature retrieval and classification, it can be found that for the fractional delay impulse differential system, the existence and uniqueness of the solution and UHR stability of the fractional delay impulse differential system are rarely ...
Chaowen Chen, Mengmeng Li
doaj   +1 more source

Multiple Positive Periodic Solutions for Delay Differential System

open access: yesDiscrete Dynamics in Nature and Society, 2009
We obtain some existence results for multiple positive periodic solutions of some delay differential systems. Examples are presented as applications. For a general positive integer m≥2, main results of this paper do not appear in former literatures as we
Zhao-Cai Hao, Ti-Jun Xiao, Jin Liang
doaj   +1 more source

Computational method for singularly perturbed delay differential equations with twin layers or oscillatory behaviour

open access: yesAin Shams Engineering Journal, 2015
In this paper, we have presented a computational method for solving singularly perturbed delay differential equations with twin layers or oscillatory behaviour. In this method, the original second order singularly perturbed delay differential equation is
D. Kumara Swamy   +3 more
doaj   +1 more source

Controllability and Hyers–Ulam Stability of Differential Systems with Pure Delay

open access: yesMathematics, 2022
Dynamic systems of linear and nonlinear differential equations with pure delay are considered in this study. As an application, the representation of solutions of these systems with the help of their delayed Mittag–Leffler matrix functions is used to ...
Ahmed M. Elshenhab, Xingtao Wang
doaj   +1 more source

Numerical Study for Time Delay Multistrain Tuberculosis Model of Fractional Order

open access: yesComplexity, 2017
A novel mathematical fractional model of multistrain tuberculosis with time delay memory is presented. The proposed model is governed by a system of fractional delay differential equations, where the fractional derivative is defined in the sense of the ...
Nasser Hassan Sweilam   +2 more
doaj   +1 more source

Applications of Legendre spectral collocation method for solving system of time delay differential equations

open access: yesAdvances in Mechanical Engineering, 2020
The numerical techniques are regarded as the backbone of modern research. In literature, the exact solution of time delay differential models are hardly achievable or impossible. Therefore, numerical techniques are the only way to find their solution. In
Sami Ullah Khan, Ishtiaq Ali
doaj   +1 more source

Fractional-Step Method with Interpolation for Solving a System of First-Order 2D Hyperbolic Delay Differential Equations

open access: yesComputation, 2023
In this article, we consider a delayed system of first-order hyperbolic differential equations. The presence of the delay term in first-order hyperbolic delay differential equations poses significant challenges in both analysis and numerical solutions ...
Karthick Sampath   +2 more
doaj   +1 more source

Periodic Solutions of a System of Delay Differential Equations for a Small Delay

open access: yesSultan Qaboos University Journal for Science, 2002
We prove the existence of an asymptotically stable periodic solution of a system of delay differential equations with a small time delay t > 0. To achieve this, we transform the system of equations into a system of perturbed ordinary differential ...
Adu A.M. Wasike, Wandera Ogana
doaj   +1 more source

Optimal harvesting for a stochastic competition system with stage structure and distributed delay

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
A stochastic competition system with harvesting and distributed delay is investigated, which is described by stochastic differential equations with distributed delay.
Yue Zhang, Jing Zhang
doaj   +1 more source

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