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Browsing Articles by Subject "Type of access: Open Access"
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Kashkynbayev, Ardak; Koptileuova, Moldir; Issakhanov, Alfarabi; Cao, Jinde
(AIMS Mathematics, 2022)
In the present paper, we prove the existence of unique almost periodic solutions to fuzzy shunting inhibitory cellular neural networks (FSICNN) with several delays. Further, by means of Halanay inequality we analyze the ...
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Zhumekenov, Abylay; Takhanov, Rustem; Castro, Alejandro J.; Assylbekov, Zhenisbek
(John Wiley and Sons Inc, 2021-03-23)
The paper investigates approximation error of two-layer feedforward Fourier Neural Networks (FNNs). Such networks are motivated by the approximation properties of Fourier series. Several implementations of FNNs were proposed ...
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Merembayev, Timur; Kurmangaliyev, Darkhan; Bekbauov, Bakhbergen; Amanbek, Yerlan
(MDPI AG, 2021-03-29)
Defining distinctive areas of the physical properties of rocks plays an important role in reservoir evaluation and hydrocarbon production as core data are challenging to obtain from all wells. In this work, we study the ...
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Bountis, Anastasios
(Nonlinear Phenomena in Complex Systems, 2019)
In this paper, I review a number of results that my co-workers and I have obtained in
the field of 1–Dimensional (1D) Hamiltonian lattices. This field has grown in recent years,
due to its importance in revealing many ...
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Kashkynbayev, Ardak; Rihan, Fathalla A.
(MDPI AG, 2021-08-03)
Abstract: In this paper, we study the dynamics of a fractional-order epidemic model with general
nonlinear incidence rate functionals and time-delay. We investigate the local and global stability
of the steady-states. ...
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Kashkynbayev, Ardak; Rihan, Fathalla A.
(Mathematics, 2021-08-03)
In this paper, we study the dynamics of a fractional-order epidemic model with general
nonlinear incidence rate functionals and time-delay. We investigate the local and global stability
of the steady-states. We deduce ...
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LEE, Eunghyun
(arxiv, 2020)
We find the formulas of the transition probabilities of the N-particle multi species asymmetric simple exclusion processes (ASEP), and show that the transition prob abilities are written as a determinant when the order of ...
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Kurmanbek, Bakytzhan; Erlangga, Yogi; Amanbek, Yerlan
(Elsevier B.V., 2021-06-08)
This paper analyzes the inverse of near Toeplitz pentadiagonal matrices, arising from a finite-difference approximation to the fourth-order nonlinear beam equation. Explicit non-recursive inverse matrix formulas and bounds ...
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Zhumekenov, Abylay; Uteuliyeva, Malika; Takhanov, Rustem; Assylbekov, Zhenisbek; Castro, Alejandro J.
(arxiv, 2019)
We review neural network architectures which were motivated by Fourier series and integrals and
which are referred to as Fourier neural networks. These networks are empirically evaluated in
synthetic and real-world tasks. ...
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Kashkynbayev, Ardak; Koptleuova, Daiana
(AIMS Press, 2020-06-05)
A tick-borne disease model is considered with nonlinear incidence rate and piecewise constant delay of generalized type. It is known that the tick-borne diseases have their peak during certain periods due to the life cycle ...
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Amangeldi, Medeu; Wang, Yanwei; Perveen, Asma; Zhang, Dichuan; Wei, Dongming
(MDPI, 2021-11-30)
Numerical flow simulations play an important role in polymer processing. One of the essential prerequisites for accurate and precise flow simulations is to obtain accurate materials functions. In the framework of the ...
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Fernandez, Arran; Restrepo, Joel E.; Suragan, Durvudkhan
(Alexandria Engineering Journal, 2021-10-27)
Fractional differential equations with constant coefficients can be readily handled by a
number of methods, but those with variable coefficients are much more challenging. Recently, a
method has appeared in the literature ...
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Razeghiyadaki, Amin; Wei, Dongming; Perveen, Asma; Zhang, Dichuan
(MDPI AG, 2021-06-10)
In the polymer sheet processing industry, the primary objective when designing a coat-hanger die is to achieve a uniform velocity distribution at the exit of the extrusion die outlet. This velocity distribution depends on ...
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Al-Ashhab, Samer; Wei, Dongming; Alyami, Salem A.; Azad, AKM; Moni, Mohammad Ali
(Applied Sciences, 2022-05-23)
We consider non-Newtonian boundary-layer fluid flow, governed by a power-law OstwalddeWaele
rheology. Boundary-layer flows of non-Newtonian fluids have far-reaching applications,
and are very frequently encountered in ...
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Amangeldi, Medeu; Wei, Dongming; Perveen, Asma; Zhang, Dichuan
(Processes, 2020-10)
Flow distribution channels in extrusion dies are typically designed to assure uniform fluid velocity, pressure and temperature in the outlets. To ensure this uniformity, it is desirable to have the fluid melt to reach a ...
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Wang, Hongwei; Esfahani, Amin
(Discrete and Continuous Dynamical Systems, 2022-12)
This paper considers the one-dimensional Schrödinger equation with nonlocal nonlinearity that describes the interactions of nonlinear dispersive waves. We obtain some the local well-posedness and ill-posedness result ...
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Dufera, Tamirat T.; Mebrate, Sileshi; Tesfahun, Achenef
(Journal of Mathematical Analysis and Applications, 2022)
Persistence of spatial analyticity is studied for solution of the beam equation utt +
(m + Δ2) u + |u|
p−1u = 0 on Rn × R. In particular, for a class of analytic initial
data with a uniform radius of analyticity σ0, we ...
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Razeghiyadaki, Amin; Zhang, Dichuan; Wei, Dongming; Perveen, Asma
(Processes, 2020-08)
A coupled surface response optimization method with a three-dimensional finite volume method is adopted in this study to identify five independent geometric variables of the die interior that provides a design with the ...
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Benekas, Vasileios; Garab, Abel; Kashkynbayev, Ardak; Stavroulakis, Ioannis P.
(Opuscula Mathematica, 2021)
We obtain new sufficient criteria for the oscillation of all solutions of linear delay difference equations with several (variable) finite delays. Our results relax numerous well-known limes inferior-type oscillation ...
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Bountis, Anastasios; Kaloudis, Konstantinos; Spitas, Christos
(arxiv, 2020)
We perform a detailed study of the dynamics of a nonlinear, one-dimensional oscillator
driven by a periodic force under hysteretic damping, whose linear version was originally
proposed and analyzed by Bishop in [1]. We ...