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Browsing Mathematics 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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Baidildayeva, Aisha
(Nazarbayev University School of Sciences and Humanities, 2022-05)
The main goal of this capstone project is to conduct the analysis of
the mathematical model which describes the transportation of the thyroid pituitary axis of the hormones within the endocrine system. The model is
constructed ...
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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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Assylbekov, Zhenisbek; Tezekbayev, Maxat; Nikoulina, Vassilina; Gallé, Matthias
(Nazarbayev University School of Sciences and Humanities, 2022)
Despite the fact that modern deep neural networks have the ability to memorize (almost) the entire training set they generalize well to unseen data, contradicting traditional learning theory. This phenomenon --- dubbed ...
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Biyar, Magzhan
(Nazarbayev University School of Sciences and Humanities, 2021-05)
This thesis is devoted to the study of a nonlinear diffusion equation. We have to
prove that the Cauchy problems for a molecular beam epitaxy (MBE) equation with
slope selection is locally well-posed for initial data in 𝑊...
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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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Ashimov, Temirlan
(Nazarbayev University School of Sciences and Humanities, 2021-05)
In the Data Science routine, we often face the curse of dimensionality, dealing with
high-dimensional data which, in turn, can be very difficult. The problems of this nature
can be approached by methods of Dimensionality ...
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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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Yessetov, Yerkebulan
(School of Sciences and Humanities, 2023-07)
Microelectromechanical systems (MEMS) have emerged as a revolutionary technology,
enabling the development of miniaturized devices with diverse functionalities and
superior performance. Among the essential components of ...
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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 ...