• FRACTIONAL FISHER-KPP TYPE EQUATIONS ON STRATIFIED GROUPS. 

  Jabbarkhanov, Khumoyun (Nazarbayev University, School of Sciences and Humanities, 2023-08-28)

  This work investigates the fractional space-time behavior of the Fisher-KPP equation with initial boundary values. Notably, fractional versions of Fisher-KPP equations describe complex phenomena in cases where the classical ...
• MODELING AND NUMERICAL ANALYSIS OF GRAPHENE MICROBEAM RESONATOR 

  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 ...
• MULTIVARIATE MITTAG-LEFFLER FUNCTION 

  Abilassan, Akmarzhan (School of Sciences and Humanities, 2023)

  This thesis presents an exploration of a variant of the multivariate Mittag-Leffler function, with a focus on its properties and applications in the context of solving differential equations. The work includes several ...
• POINTWISE ESTIMATES FOR POLYHARMONIC GREEN’S FUNCTION 

  Myrzabayeva, Galiya (School of Sciences and Humanities, 2023)

  This thesis focuses on the polyharmonic Green’s function, one of fundamental concepts in mathematical analysis and partial differential equations. The Green’s function plays a crucial role in solving problems related to ...
• FINITE-TIME SYNCHRONIZATION FOR FUZZY SHUNTING INHIBITORY CELLULAR NEURAL NETWORKS 

  Nuriyev, Zhangir (School of Sciences and Humanities, 2023)

  Obtaining synchronization in the activity of neural networks has been a major goal for scientists of various fields. Thus, several problems based on finite-time synchronization are to be explored in this paper. The primary ...
• FINITE TIME AND FIXED TIME SYNCHRONIZATION OF SHUNTING INHIBITORY MEMRISTIVE NEURAL NETWORKS VIA SLIDING MODE CONTROL 

  Otkel, Madina (School of Sciences and Humanities, 2023)

  This thesis investigates the finite time synchronization and fixed time synchronization of shunting inhibitory memristive neural networks with time-varying delays via sliding mode control. First, a new terminal sliding ...
• DETERMINATION OF TIME-DEPENDENT CONTROL PARAMETER ON THE HEISENBERG GROUP 

  Kamet, Madina (School of Sciences and Humanities, 2023)

  In this thesis, we examine inverse problems for the sub-elliptic heat equation with the Cauchy-Dirichlet initial-boundary value condition to determine the time-dependent control parameter. Consequently, on the Heisenberg ...
• THE PROBABILITY DISTRIBUTION OF THE SPECIES-1 PARTICLE IN THE TWO-SPECIES ASEP WITH INITIAL CONFIGURATION 22...21 

  Tokebayev, Zhanibek (Nazarbayev University School of Sciences and Humanities, 2022-04)

  In this paper, we investigate the behaviour of the unique right-most species-1 particle in the 2-species ASEP. We start with the introduction, where we first introduce the model itself, which was introduced by Frank ...
• VARIETY OF BICOMMUTATIVE ALGEBRAS DEFINED BY IDENTITY Γ[(AB)C − 2(BA)C + (CA)B] + Δ[C(BA) − 2C(AB) + B(AC)] = 0 

  Bakirova, Altynay (Nazarbayev University School of Sciences and Humanities, 2022-05)

  One of the important problem of the theory of polynomial identi tites in algebra is describe all varieties of algebras with given system of identities. Our aim is to classify all subvarieties of the variety of bicom ...
• EXISTENCE OF A TRAVELING WAVE SOLUTION TO GLIOBLASTOMA MULTIFORME MODEL WITH MODIFIED GOMPERTZ GROWTH FUNCTION 

  Zhuman, Gulnissa (Nazarbayev University School of Sciences and Humanities, 2022-05)

  This thesis explores a model for aggressive brain cancer - glioblastoma multiforme, with modified gompertzian growth function. Density-dependent diffusion term, taxis, and growth functions are included in the model that ...
• A PRIORI ESTIMATE FOR A HIGHER ORDER NONLINEAR SCHRÖDINGER EQUATION IN NEGATIVE SOBOLEV SPACES 

  Tobakhanov, Nurdaulet (Nazarbayev University School of Sciences and Humanities, 2022-05)

  The higer order Nonlinear Schrödinger equation is one of the general examples of dispersive nonlinear partial differential equations. We study a priori bounds for higher-order nonlinear Schrödinger in the Sobolev space. ...
• THE REDISCOVERY HYPOTHESIS: LANGUAGE MODELS NEED TO MEET LINGUISTICS 

  Maxat, Tezekbayev (Nazarbayev University School of Sciences and Humanities, 2022-05)

  There is an ongoing debate in the NLP community whether modern language models contain linguistic knowledge, recovered through so-called probes. This work examines whether linguistic knowledge is a necessary condition ...
• REMAINDERS OF THE HIGHER-ORDER POINCAR´E INEQUALITIES FOR BAOUENDI-GRUSHIN VECTOR FIELDS 

  Kabduali, Bek (Nazarbayev University School of Sciences and Humanities, 2022-05)

  The main result of this thesis work is a proof of the higher-order Poincar´e inequalities for Baouendi-Grushin vector fields on non-smooth domains. The finding is successfully applied to the study of the higher-order ...
• MODELING AND NUMERICAL ANALYSIS OF DEAD-CORE PHENOMENA IN CHEMICAL REACTOR ENGINEERING 

  Assaubay, Al-Tarazi (Nazarbayev University School of Sciences and Humanities, 2021-05)

  Diffusion-reaction processes in chemical reactors are often modelled by differential equations of diffusion-reaction type that describe the change in time and space of concentrations of chemical species. In this work, ...
• ALTERNATING SCHEME FOR METHOD OF MOMENTS 

  Kozybayeva, Kymbat (Nazarbayev University School of Sciences and Humanities, 2021-05)

  In the financial market, there is always an unexpected issue between measures of dif ferent obligations, stocks, currency. Big financial companies before doing investments are highly interested in exploring the behavior ...
• THE CAUCHY PROBLEM FOR A MOLECULAR BEAM EPITAXY MODEL WITH SLOPE SELECTION 

  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...
• ALTERNATING SCHEME FOR METHOD OF MOMENTS 

  Kozybayeva, Kymbat (Nazarbayev University School of Sciences and Humanities, 2021-05)

  In the financial market, there is always an unexpected issue between measures of dif ferent obligations, stocks, currency. Big financial companies before doing investments are highly interested in exploring the behavior ...
• EXPERIMENTAL STUDY OF MANIFOLD LEARNING AND TANGENT PROPAGATION 

  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 ...
• PHYSICS INFORMED NEURAL NETWORKS FOR SOLVING DIRAC EQUATION IN (1+1) DIMENSION 

  Bazarkhanova, Aigerim (Nazarbayev University School of Sciences and Humanities, 2021-05-13)

  The Dirac equation plays a fundamental role in quantum physics and its exact solutions are of utmost importance. In this study we solved Linear and Nonlin ear Dirac equation in (1+1) dimension and obtained analytical ...
• Modeling and Finite Element Simulations of Ceramic Paste Extrusion in 3D Printing 

  Baiseitova, Kuralay (Nazarbayev University School of Sciences and Humanities, 2020)

  Ceramic paste extrusion process, such as 3D printing, is commonly used for fabricating high quality products, like catalyst pellets for heterogeneous catalytic reactors, porous catalyst for cleaning gas released from an ...

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