Results 41 to 50 of about 88 (88)
IET Control Theory &Applications, Volume 20, Issue 1, January/December 2026.A switched observer design methodology for semilinear parabolic PDEs is developed using adaptive sensor configurations and LMI‐based synthesis conditions. The approach guarantees exponential stability through polynomial parameterization and sum‐of‐squares programming, enabling computationally tractable observer design for infinite‐dimensional systems ...
Ivan Francisco Yupanqui Tello +2 more
wiley +1 more source
Group invariance of global generalized solutions of nonlinear PDEs in Colombeau algebras and in the Dedekind order completion method [PDF]
, 1993 Thesis (PhD )--University of Pretoria, 1993.In this thesis a theoretical framework is provided within which large classes of nonlinear Lie groups of transformations are defined on spaces of generalized functions which yield global generalized solutions ...
core
Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity
Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak +3 more
wiley +1 more source
Adaptive Wavelet Methods for Variational Formulations of Nonlinear Elliptic PDES on Tensor-Product Domains [PDF]
, 2015 This thesis is concerned with the numerical solution of boundary value problems (BVPs) governed by semilinear elliptic partial differential equations (PDEs).
Pabel, Roland
core
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.High‐order fractional fuzzy differential equations show great potential in modeling complex systems with memory effects and uncertainty. Existing qualitative theories seldom involve both Caputo‐type strongly generalized Hukuhara differentiability and coupled integral operators on infinite intervals. This paper presents a systematic investigation of the
Yanli Xi +2 more
wiley +1 more source
Stability and Reproduction Dynamics in Fractional‐Order Reaction‐Diffusion Models of HIV/AIDS
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This research focuses on introducing fractional‐order derivatives to an HIV/AIDS mathematical model in order to provide a good representation of disease dynamics. The central point of this work is evaluating the stability of equilibrium points through the use of fractional calculus with an important attention to the role of the basic reproductive ...
Khelifa Bouaziz +6 more
wiley +1 more source
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we investigate the dynamics of higher‐order solutions for a class of damped wave equations posed in Rn and driven by a nonlocal cubic convolution source of Hartree type. The model incorporates a higher order Laplacian of order σ, spatially dependent density functions, and frictional damping mechanisms.
Khaled Zennir +4 more
wiley +1 more source
Relative Controllability of Caputo Fractional‐Order Stochastic Delay System Driven by Lévy Noise
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.In this paper, we study the relative controllability of fractional stochastic delay system (FSDS) driven by Lévy noise. First, we derive the solution of linear FSDS by using the delayed Mittag–Leffler matrix function. Then, using Grammian matrix, we discuss the relative controllability of linear FSDS.
Yun Zhong, Mengmeng Li, Huaiqin Wu
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study examines a fractional functional differential equation using the Caputo derivative. Its main goal is to introduce the resolvent operator to define the analytical solution, and then use it to show the existence of a mild solution. An illustrative example will highlight the primary result.
Ndolane Sene +2 more
wiley +1 more source
Stability in nonlinear evolution problems by means of fixed point theorems [PDF]
, 1997 summary:The stabilization of solutions to an abstract differential equation is investigated. The initial value problem is considered in the form of an integral equation.
Koliha, J. J., Straškraba, Ivan
core