Results 31 to 40 of about 105 (96)

Iterative solution of unstable variational inequalities on approximately given sets

Abstract and Applied Analysis, Volume 1, Issue 1, Page 45-64, 1996., 1996
The convergence and the stability of the iterative regularization method for solving variational inequalities with bounded nonsmooth properly monotone (i.e., degenerate) operators in Banach spaces are studied. All the items of the inequality (i.e., the operator A, the “right hand side” f and the set of constraints Ω) are to be perturbed. The connection
Y. I. Alber, A. G. Kartsatos, E. Litsyn
wiley   +1 more source

A CLASS OF BOUNDARY VALUE METHODS FOR THE COMPLEX DELAY DIFFERENTIAL EQUATION

, 2017
In this paper, a class of boundary value methods (BVMs) for delay differential equations (DDEs) is considered. The delay dependent stable regions of the extended trapezoidal rules of second kind (ETR2s), which are a class of BVMs, are displayed for the ...
Shifeng Wu
core   +1 more source

Stability and convergence analysis on Shishkin mesh for a nonlinear singularly perturbed problem with three-point boundary condition

, 2021
The present study is conducted on finite difference method in Shishkin piecewise uniform mesh in a singularly perturbed boundary value problem for a nonlinear differential equation.
Arslan, Derya
core  

Analysis of a Fractional‐Order Mathematical Model on Crime Dynamics Incorporating Police Force and Rehabilitation

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study addresses the limitation of traditional integer‐order crime models that fail to capture memory‐dependent dynamics in criminal behavior. Our objective is to develop and analyze a novel fractional‐order model incorporating media influence, police force, and rehabilitation strategies using the Liouville−Caputo derivative.
Waleed Adel, Mohammad Izadi, Shewafera Wondimagegnhu Teklu, Manalebish Debalike Asfaw, Chang Phang   +4 more
wiley   +1 more source

Variations in the geometry of the basins of escape in a modified Hénon–Heiles potential

Demonstratio Mathematica
In this article, we show how the curves that limit the basins of escape in a version of a Hénon–Heiles potential with a singularity at the origin evolve with the energy.
Navarro Juan F.
doaj   +1 more source

An Efficient Numerical Study of Measles Transmission Dynamics With Time Delay

Journal of Mathematics, Volume 2026, Issue 1, 2026.
Measles is a highly contagious viral disease that remains a public‐health concern in populations with suboptimal vaccination coverage. In this study, a delayed SEIR‐type epidemic model is formulated to investigate measles transmission dynamics, where the latent period is incorporated through a discrete time delay.
Ali Raza, Mansoor Alsulami, Faridah Alruwaili, Smritijit Sen   +3 more
wiley   +1 more source

Integer–Fractional Order of Identical Eigenvalues Chaotic Oscillator: Analysis and Shadow Economy Application

International Journal of Differential Equations, Volume 2025, Issue 1, 2025.
This study introduces a new three‐dimensional chaotic oscillator system characterized by zero eigenvalues, with stability localized in the center manifold, an uncommon feature in chaotic system design. The proposed system is constructed entirely from nonlinear terms and demonstrates complex dynamics validated through bifurcation analysis and Lyapunov ...
Ali Shukur, Faruk Ozger, Nasser Saeed, Surma Ibrabim, Viet-Thanh Pham, Giuseppe Grassi, Peiguang Wang   +6 more
wiley   +1 more source

Mathematical Model of the Waste Plastic Management via ABC Fractional Order Derivative

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
Plastic waste can be broadly classified as recyclable and nonrecyclable wastes. The United Nations has set 17 goals of which Goal 14 refers to “Life below Water.” If plastic waste is not properly managed, it can pose a health hazard, including reproductive impairment in marine species. Hence, waste plastic management is necessary to achieve the Goal No.
Rajagopalan Ramaswamy, Gunaseelan Mani, Sugapriya Palanisamy, Ozgur Ege, Shikha Binwal   +4 more
wiley   +1 more source

On the existence and the approximation of solutions of linear and nonlinear fractional order delay-integro-differential equations with vanishing variable delays

Nonlinear Engineering
In this study, we investigate the application of the meshless collocation technique using radial basis functions (RBF) to approximate a class of linear and nonlinear fractional order delay-integro-differential equations with vanishing variable delays ...
Aourir Essaid, Dastjerdi H. Laeli, Oudani Mustapha, Shah Kamal, Abdeljawad Thabet   +4 more
doaj   +1 more source

Advancing analytical solutions: Novel wave insights and methodologies for beta fractional Kuralay-II equations

Demonstratio Mathematica
This article investigates new analytical wave solutions within the beta (β\beta ) fractional framework (Fκ\kappa IIAE and Fκ\kappa IIBE) of the Kuralay II equations, which are significant in the field of nonlinear optics.
Ege Serife Muge
doaj   +1 more source