• 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 ...
• EFFECTS OF MELT TEMPERATURE AND NON-ISOTHERMAL FLOW IN DESIGN OF COAT HANGER DIES BASED ON FLOW NETWORK OF NON-NEWTONIAN FLUIDS 

  Razeghiyadaki, Amin; Wei, Dongming; Perveen, Asma; Zhang, Dichuan; Wang, Yanwei (Polymers, 2022)

  In the design of coat hanger extrusion dies, the main objective is to provide a uniform flow rate at the die exit. Previously, a multi-rheology isothermal method model for coat hanger extrusion dies was developed to reach ...
• 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 ...
• ANALYSIS OF ELLIOTT WAVE THEORY ON TIME-SERIES DATA FROM FOREX 

  Zhalgasbek, Ayaz (School of Sciences and Humanities, 2023)

  This capstone project analyzes the application of the Elliott wave theory on time-series data from the Forex market. The project uses patternbased probabilistic models to test the validity of the Elliott wave theory and ...
• 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 ...
• INVERSE TIME-DEPENDENT SOURCE PROBLEMS IN EVOLUTION EQUATIONS 

  Kuangaliyeva, Dilyara (School of Sciences and Humanities, 2023)

  We solve inverse problems of determining continuous time-dependent source terms in evolution equations. As a particular case, one inverse initialboundary value problem with observation data at a spatial point is sufficient ...
• 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 ...
• APPLICATION OF 4-DIMENSIONAL COPULAS IN CALCULATING VALUE-AT-RISK FOR THE PORTFOLIO OF 4 SP500 COMPANIES 

  Bolatbekov, Kairzhan (School of Sciences and Humanities, 2023)

  Portfolio risk management is a process aimed at maintaining profit streams and reducing uncertainties in investment decisions. Value-at-Risk (VaR) is a widely used metric to quantify the potential loss of profits. Although ...
• 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 ...
• NONLINEAR REGRESSION ANALYSIS OF EXPONENTIAL, VON BERTALANFFY AND DYNAMIC CARRYING CAPACITY MODELS FOR CANADA POPULATION 

  Aiben, Ailiza (School of Sciences and Humanities, 2023)

  This project is aimed to analyze the exponential model, Von Bertalanffy model, and the dynamic carrying capacity model based on the Canada population data. The unknown parameters in these models would be found out by ...
• 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 ...
• ANALYSIS OF LANDAU–LIFSHITZ AND NEO-HOOKEAN MODELS FOR STATIC AND DYNAMIC ACOUSTOELASTIC TESTING 

  Melnikov, Andrey; Malcolm, Alison E; Poduska, Kristin M (Physica Scripta, 2022)

  A comparison of three different isotropic non-linear elastic models uncovers subtle but important differences in the acoustoelastic responses of a material slab that is subjected to dynamic deformations during a pump-probe ...
• ANALYSIS OF DEAD CORE FORMATION IN CATALYTIC REACTION AND DIFUSION PROCESSES WITH GENERALIZED DIFUSION FUX 

  Skrzypacz, Piotr; Kabduali, Bek; Kadyrbek, Alua; Szafert, Sławomir; Andreev, Vsevolod; Golman, Boris (Scientific Reports, 2022)

  Dead-core and non-dead-core solutions to the nonlinear diffusion–reaction equation based on the generalized diffusion flux with gradient-dependent diffusivity and the power-law reaction kinetics in catalyst slabs are ...
• SATURATED AND ASYMMETRIC SATURATED IMPULSIVE CONTROL SYNCHRONIZATION OF COUPLED DELAYED INERTIAL NEURAL NETWORKS WITH TIME-VARYING DELAYS 

  Udhayakumar, K.; Shanmugasundaram, S.; Kashkynbayev, Ardak; Janani, K.; Rakkiyappan, R. (Applied Mathematical Modelling, 2023)

  This paper considers control systems with impulses that are saturated and asymmetrically saturated which are used to examine the synchronization of inertial neural networks (INNs) with time-varying delay and coupling delays. ...
• THE INFLUENCING FACTORS OF CO2 EMISSIONS AND THE ADOPTION OF ECO-INNOVATION ACROSS G-7 ECONOMIES: A NOVEL HYBRID MATHEMATICAL AND STATISTICAL APPROACH 

  Rehman, Erum; Rehman, Shazia; Mumtaz, Ayesha; Jianglin, Zhang; Shahiman, Muhammad Ali (Frontiers in Environmental Science, 2022-09-29)

  The present study empirically analyzes the role of eco-innovation in plummeting carbon dioxide (CO2) emissions in conjunction with renewable energy usage, foreign direct investment, and trade openness for the states in ...
• MUTUAL INTERDEPENDENCE OF THE PHYSICAL PARAMETERS GOVERNING THE BOUNDARY-LAYER FLOW OF NON-NEWTONIAN FLUIDS 

  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 ...
• DYNAMICS OF FRACTIONAL-ORDER EPIDEMIC MODELS WITH GENERAL NONLINEAR INCIDENCE RATE AND TIME-DELAY 

  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 ...
• OSCILLATION CRITERIA FOR LINEAR DIFFERENCE EQUATIONS WITH SEVERAL VARIABLE DELAYS 

  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 ...
• ON THE CAUCHY PROBLEM FOR A NONLOCAL NONLINEAR SCHRÖDINGER EQUATION 

  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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