Results 21 to 30 of about 287,701 (296)

Asymptotic behavior of a viscoelastic wave equation with a delay in internal fractional feedback [PDF]

Archives of Control Sciences
We consider the viscoelastic wave equation with a time delay term in internal fractional feedback. By employing the energy method along with the Faedo-Galerkin procedure, we establish the global existence of solutions, subject to certain conditions ...
Radhouane Aounallah, Adbelbaki Choucha, Salah Boulaaras, Abderrahmane Zarai   +3 more
doaj   +1 more source

Tuning of the Dielectric Relaxation and Complex Susceptibility in a System of Polar Molecules: A Generalised Model Based on Rotational Diffusion with Resetting

Fractal and Fractional, 2022
The application of the fractional calculus in the mathematical modelling of relaxation processes in complex heterogeneous media has attracted a considerable amount of interest lately.
Irina Petreska, Ljupco Pejov, Trifce Sandev, Ljupco Kocarev, Ralf Metzler   +4 more
doaj   +1 more source

Zeros of Airy Function and Relaxation Process [PDF]

Journal of Statistical Physics, 2009
AMS-LaTeX, 33 pages, no figure, v4: minor corrections made for publication in J.
Katori, Makoto, Tanemura, Hideki
openaire   +2 more sources

General decay for weak viscoelastic Kirchhoff plate equations with delay boundary conditions

Boundary Value Problems, 2017
We consider a weak viscoelastic Kirchhoff plate model with time-varying delay in the boundary. By using a suitable energy and Lyapunov function, we obtain a decay rate for the energy, which depends on the behavior of g and α.
Sun-Hye Park, Jum-Ran Kang
doaj   +1 more source

Jonscher indices for dielectric materials [PDF]

Journal of Advanced Dielectrics, 2019
Two parameters are proposed as Jonscher indices, named after A. K. Jonscher for his pioneering contribution to the universal dielectric relaxation law.
C. L. Wang
doaj   +1 more source

General and optimal decay rates for a system of wave equations with damping and a coupled source term

AIMS Mathematics
In this article, we aim to investigate the decay characteristics of a system consisting of two viscoelastic wave equations with Dirichlet boundary conditions, where the dispersion term and nonlinear weak damping term are taken into account.
Qian Li , Yanyuan Xing
doaj   +1 more source

Inhibition of Endoplasmic Reticulum Stress Improves Acetylcholine-Mediated Relaxation in the Aorta of Type-2 Diabetic Rats

Molecules, 2022
Endoplasmic reticulum (ER) stress contributes to insulin resistance and macro- and microvascular complications associated with diabetes. This study aimed to evaluate the effect of ER stress inhibition on endothelial function in the aorta of type-2 ...
Sagir Mustapha, Ahmad Khusairi Azemi, Wan Amir Nizam Wan Ahmad, Aida Hanum Ghulam Rasool, Mohd Rais Mustafa, Siti Safiah Mokhtar   +5 more
doaj   +1 more source

Relaxed Functional Dependencies—A Survey of Approaches

IEEE Transactions on Knowledge and Data Engineering, 2016
Recently, there has been a renovated interest in functional dependencies due to the possibility of employing them in several advanced database operations, such as data cleaning, query relaxation, record matching, and so forth. In particular, the constraints defined for canonical functional dependencies have been relaxed to capture inconsistencies in ...
CARUCCIO, LOREDANA, DEUFEMIA, Vincenzo, POLESE, Giuseppe   +2 more
openaire   +2 more sources

Energy decay for a porous system with a fractional operator in the memory

Electronic Research Archive
In this work, we examine a porous-elastic system with a fractional operator incorporated in the memory term, which acts exclusively on one equation within the system. Under appropriate conditions on the polynomially decreasing kernels of the memory type,
Chahrazed Messikh, Soraya Labidi, Ahmed Bchatnia, Foued Mtiri   +3 more
doaj   +1 more source

General stability for the Kirchhoff-type equation with memory boundary and acoustic boundary conditions

Boundary Value Problems, 2017
In this paper we consider the existence and general energy decay rate of global solution to the mixed problem for the Kirchhoff-type equation with memory boundary and acoustic boundary conditions.
Jum-Ran Kang
doaj   +1 more source