Aitzhanov Serik Ersultanovich

@farabi.university

associate professor
Al-Farabi Kazakh National University

Aitzhanov Serik Ersultanovich


                  Download Compact PDF  
https://researchid.co/serik81

EDUCATION

Candidate of Physical and Mathematical Sciences

RESEARCH, TEACHING, or OTHER INTERESTS

Mathematical Physics, Mathematics, Applied Mathematics
24

Scopus Publications

104

Scholar Citations

6

Scholar h-index

2

Scholar i10-index

Scopus Publications

  • Impulsive pseudo-parabolic equation with nonlinear Robin boundary condition
    Stanislav Antontsev, Ivan Kuznetsov, Serik Aitzhanov
    Nonlinear Analysis Real World Applications, 2026
  • Inverse source problem for p-Harmonic pseudoparabolic equation
    S. E. Aitzhanov, K. H. Bayetov, Mansur I. Ismailov
    Journal of Pseudo Differential Operators and Applications, 2026
  • Animated biometric QR-codes as an innovative solution in information systems
    Nazym Kaziyeva, Ablaikhan Madiev, Serik Aitzhanov, Arman Kaliyev, Azhar Kuttybek
    Sist 2025 2025 IEEE 5th International Conference on Smart Information Systems and Technologies Conference Proceedings, 2025
    The article shows an animated biometric QR code (ABQRC) as a means of storing user's personal data, transferring personal data over the network, identifying, creating personal databases such as, for example, a "Digital Passport". Such an animated biometric QR code may include: QR codes, biometric characteristics, and photo images of a face.As part of the work, the Rocket system is presented, which generates an animated biometric QR code containing QR codes with facial biometric information, user's personal data, and user photos. This article describes the design, implementation, and evaluation of the QRocket system, including its architecture, workflow, and security mechanisms. The proposed QRocket system is designed to generate ABQRC, store, verify user identity in real time on mobile platforms and access control systems.
  • Solvability of Some Elliptic Equations with a Nonlocal Boundary Condition
    Serik Aitzhanov, Bakytbek Koshanov, Aray Kuntuarova
    Mathematics, 2024
    In this work, we study a nonlocal boundary value problem for a quasilinear elliptic equation. Using the method of regularization and parameter continuation, we prove the existence and uniqueness of a regular solution to the nonlocal boundary value problem, i.e., a solution that possesses all generalized derivatives in the sense of S. L. Sobolev, which are involved in the corresponding equation.
  • SOLVABILITY OF INVERSE PROBLEM OF A PSEUDOPARABOLIC EQUATION WITH FRACTIONAL CAPUTO DERIVATIVE
    S.E. Aitzhanov, A.A. Issakhov, A.S. Kassymbekova, Z.T. Abdikalikova
    Kaznu Bulletin Mathematics Mechanics Computer Science Series, 2024
    Inverse problem on recovering the coefficient of the right-hand side for a pseudoparabolic equation with a Caputo fractional derivative is studied. Overdetermination condition of the inverse problem is given in integral form. Existence and uniqueness theorems are proved for regular solutions (i.e., having all Sobolev generalized derivatives entering the equation) for a pseudoparabolic equation with the Caputo fractional derivative. Also, we propose an algorithm for numerical solution of the considered inverse problem. Numerical experiments are carried out for a one-dimensional problem, illustrating the obtained theoretical results. Inverse problems with fractional derivatives belong to the class of problems that are associated with determining unknown parameters or functions in mathematical models described by equations with fractional derivatives. Such problems arise in various applications where models with fractional derivatives are used, for example, in mechanics, heat conductivity, biology, finance and other areas.
  • Boundary Value Problem for a Loaded Pseudoparabolic Equation with a Fractional Caputo Operator
    Serik Aitzhanov, Kymbat Bekenayeva, Zamira Abdikalikova
    Mathematics, 2023
    Differential equations containing fractional derivatives, for both time and spatial variables, have now begun to attract the attention of mathematicians and physicists; they are used in connection with these equations as mathematical models of various processes. The fractional derivative equation tool plays a crucial role in describing plenty of natural processes concerning physics, biology, geology, and so on. In this paper, we studied a loaded equation in relation to a spatial variable for a linear pseudoparabolic equation, with an initial and second boundary value condition (the Neumann condition), and a fractional Caputo derivative. A distinctive feature of the considered problem is that the load at the point is in the higher partial derivatives of the solution. The problem is reduced to a loaded equation with a nonlocal boundary value condition. A way to solve the considered problem is by using the method of energy inequalities, so that a priori estimates of solutions for non-local boundary value problems are obtained. To prove that this nonlocal problem is solvable, we used the method of continuation with parameters. The existence and uniqueness theorems for regular solutions are proven.
  • An initial boundary value problem for a pseudoparabolic equation with a nonlinear boundary condition
    Stanilslav N. Antontsev, Serik E. Aitzhanov, Dinara T. Zhanuzakova
    Mathematical Methods in the Applied Sciences, 2023
    An initial boundary value problem for a quasilinear equation of pseudoparabolic type with a nonlinear boundary condition of the Neumann–Dirichlet type is investigated in this work. From a physical point of view, the initial boundary value problem considered here is a mathematical model of quasistationary processes in semiconductors and magnets, which takes into account a wide variety of physical factors. Many approximate methods are suitable for finding eigenvalues and eigenfunctions in problems where the boundary conditions are linear with respect to the desired function and its derivatives. Among these methods, the Galerkin method leads to the simplest calculations. On the basis of a priori estimates, we prove a local existence theorem and uniqueness for a weak generalized solution of the initial boundary value problem for the quasilinear pseudoparabolic equation. A special place in the theory of nonlinear equations is occupied by the study of unbounded solutions, or, as they are called in another way, blow‐up regimes. Nonlinear evolutionary problems admitting unbounded solutions are globally unsolvable. In the article, sufficient conditions for the blow‐up of a solution in a finite time in a limited area with a nonlinear Neumann–Dirichlet boundary condition are obtained.
  • THE COEFFICIENT INVERSE PROBLEM FOR A PSEUDOPARABOLIC EQUATION OF THE THIRD ORDER
    Serik Aitzhanov
    Kaznu Bulletin Mathematics Mechanics Computer Science Series, 2023
    In this paper, we consider the coefficient inverse problem for a third-order pseudoparabolic equation, which represents mathematical model for the movement of moisture and salts in soils. Such non-classical equations are also called Sobolev-type equations. At present, the study of direct and inverse problems for a pseudoparabolic equation is readily developing due to the needs of modeling and controlling processes in hydrodynamics, mechanics, thermal physics and continuum mechanics. At the same time, the investigation of coefficient inverse problems is also important, since they are used in solving problems of planning the development of oil fields, in particular, in determining the filtration parameters of fields, in creating new types of measuring equipment, in solving environmental monitoring problems, etc. Thus both trend directions such as pseudoparabolic equations and coefficient inverse problems are relevant due to the abundance of various applications where such non-classical objects arise. In this work, the Galerkin method is used to prove the existence of the solution for the inverse coefficient problem and obtained sufficient conditions for the blow up of its solution in a finite time in a bounded domain. Moreover, authors developed the algorithm for the numerical solution of the given problem by using the finite difference method. In addition, computational experiments were carried out illustrating the theoretical calculations obtained in the work.
  • Solvability of pseudoparabolic equation with Caputo fractional derivative
    S.E. Aitzhanov, U.R. Kusherbayeva, K.S. Bekenayeva
    Chaos Solitons and Fractals, 2022
  • AN INVERSE PROBLEM FOR THE PSEUDO-PARABOLIC EQUATION WITH P-LAPLACIAN
    Stanislav Nikolaevich Antontsev, Serik Ersultanovich Aitzhanov, Guzel Rashitkhuzhakyzy Ashurova
    Evolution Equations and Control Theory, 2022
    <p style='text-indent:20px;'>In this article, we study the inverse problem of determining the right side of the pseudo-parabolic equation with a p-Laplacian and nonlocal integral overdetermination condition. The existence of solutions in a local and global time to the inverse problem is proved by using the Galerkin method. Sufficient conditions for blow-up (explosion) of the local solutions in a finite time are derived. The asymptotic behavior of solutions to the inverse problem is studied for large values of time. Sufficient conditions are obtained for the solution to disappear (vanish to identical zero) in a finite time. The limits conditions that which ensure the appropriate behavior of solutions are considered.</p>
  • SOLVABILITY OF THE INVERSE PROBLEM FOR THE PSEUDOHYPERBOLIC EQUATION
    S. Aitzhanov, J. Ferreira, K. Zhalgassova
    Kaznu Bulletin Mathematics Mechanics Computer Science Series, 2022
  • SOLVABILITY OF PROBLEMS OF RECOVERING THE EXTERNAL INFLUENCE IN THE FIRST ORDER HYPERBOLIC EQUATIONS
    A.И. Кожанов, С.Е. Aйтжанов, К.А. Жалгасова
    Mathematical Notes of Nefu, 2022
  • Solvability of an initial-boundary value problem for a nonlinear pseudoparabolic equation with degeneration
    , S.E. Aitzhanov, , Zh. Tileuberdi, , G. Sanat, and
    Bulletin of the Karaganda University Mathematics Series, 2022
  • Unique solvability of generalized solution of initial-boundary value problem for the Stokes system of an inhomogeneous fluid: Generalized solution of initial-boundary value problem for the Stokes system of an inhomogeneous fluid
    Undasyn Abylkairov, Serik Aitzhanov, Zamira Abdikalikova
    ACM International Conference Proceeding Series, 2021
  • Unique solvability of global classical solution of initial-boundary value problem for the Stokes system of an inhomogeneous fluid Global classical solution of initial-boundary value problem for the Stokes system of an inhomogeneous fluid
    Undasyn Abylkairov, Serik Aitzhanov, Zamira Abdikalikova
    ACM International Conference Proceeding Series, 2021
  • Solvability issues of a pseudo‐parabolic fractional order equation with a nonlinear boundary condition
    Serik E. Aitzhanov, Abdumauvlen S. Berdyshev, Kymbat S. Bekenayeva
    Fractal and Fractional, 2021
  • IDENTIFICATION OF THE RIGHT HAND SIDE OF A QUASILINEAR PSEUDOPARABOLIC EQUATION WITH MEMORY TERM
    S. E. Aitzhanov, G. R. Ashurova, K. A. Zhalgassova
    Kaznu Bulletin Mathematics Mechanics Computer Science Series, 2021
  • Solvability of a Pseudohyperbolic Equation with a Nonlinear Boundary Condition
    S. E. Aitzhanov, К. S. Bekenaeva, G. О. Zhumagul
    Kaznu Bulletin Mathematics Mechanics Computer Science Series, 2020
  • Solvability of Pseudoparabolic Equations with Non-Linear Boundary Condition
    A. S. Berdyshev, S. E. Aitzhanov, G. O. Zhumagul
    Lobachevskii Journal of Mathematics, 2020
  • Inverse Problem for an Equation with A Nonstandard Growth Condition
    S. N. Antontsev, S. E. Aitzhanov
    Journal of Applied Mechanics and Technical Physics, 2019
  • Behavior of solutions to an inverse problem for a quasilinear parabolic equation
    S. E. Aitzhanov, D. T. Zhanuzakova
    Siberian Electronic Mathematical Reports, 2019
  • Inverse problem for non-stationary system of magnetohydrodynamics
    Undasin U Abylkairov, Serik E Aitzhanov
    Boundary Value Problems, 2015
  • Reconstruction of source function for parabolic equations with variable exponents
    Undasyn Utegenovich Abylkairov, Serik Ersultanovich Aitzhanov
    Aip Conference Proceedings, 2015
  • Solvability of the inverse problem for a heat convection system with integral condition of overdetermination
    U. U. Abylkayrov, S. E. Aitzhanov, L. K. Zhapsarbayeva
    Applied Mathematical Sciences, 2015

RECENT SCHOLAR PUBLICATIONS

  • Impulsive pseudo-parabolic equation with nonlinear Robin boundary condition
    S Antontsev, I Kuznetsov, S Aitzhanov
    Nonlinear Analysis: Real World Applications 91, 104605 , 2026
    2026
  • Inverse source problem for p -Harmonic pseudoparabolic equation: S. E. Aitzhanov et al.
    SE Aitzhanov, KH Bayetov, MI Ismailov
    Journal of Pseudo-Differential Operators and Applications 17 (2), 33 , 2026
    2026
  • Solvability of Some Elliptic Equations with a Nonlocal Boundary Condition
    S Aitzhanov, B Koshanov, A Kuntuarova
    Mathematics 12 (24), 4010 , 2024
    2024
  • Solvability of inverse problem of a pseudoparabolic equation with fractional Caputo derivative
    SE Aitzhanov, AA Issakhov, AS Kassymbekova, ZT Abdikalikova
    Journal of Mathematics, Mechanics and Computer Science 124 (4), 3-25 , 2024
    2024
    Citations: 2
  • The coefficient inverse problem for a pseudoparabolic equation of the third order
    S Aitzhanov, A Isakhov, K Zhalgassova, G Ashurova
    Journal of Mathematics, Mechanics and Computer Science 119 (3), 3-18 , 2023
    2023
    Citations: 4
  • Global existence, uniqueness and asymptotic behavior for a nonlinear viscoelastic problem with internal damping and logarithmic source term
    J Ferreira, M Shahrouzi, SE Aitzhanov, S Cordeiro, DV Rocha
    Differ. Equ. Appl 15 (4), 395-429 , 2023
    2023
    Citations: 2
  • Application of Facenet Machine Learning Model And Haar Cascade Classifier For Biometric Identification
    S Aitzhanov, N Kazyieva, N Burambayeva, Z Shuren, A Aikeyeva
    Journal of Problems in Computer Science and Information Technologies 1 (3) , 2023
    2023
    Citations: 2
  • Boundary Value Problem for a Loaded Pseudoparabolic Equation with a Fractional Caputo Operator
    S Aitzhanov, K Bekenayeva, Z Abdikalikova
    Mathematics 11 (18), 3987 , 2023
    2023
    Citations: 5
  • ӨЗГЕШЕЛЕНЕТІН ҮШІНШІ РЕТТІ ДИФФЕРЕНЦИАЛДЫҚ ТЕҢДЕУДІҢ ШЕШІМДІЛІГІ
    S Aitzhanov, A Marat
    Bulletin of Abai KazNPU. Series of Physical and Mathematical sciences 82 (2 … , 2023
    2023
  • An initial boundary value problem for a pseudoparabolic equation with a nonlinear boundary condition
    SN Antontsev, SE Aitzhanov, DT Zhanuzakova
    Mathematical Methods in the Applied Sciences 46 (1), 1111-1136 , 2023
    2023
    Citations: 1
  • ЛОКАЛДІК ЕМЕС ШЕКАРАЛЫҚ ШАРТТЫ ПСЕВДОГИПЕРБОЛАЛЫҚ ТЕҢДЕУДIҢ ШЕШIМДIЛIГI
    S Aitzhanov, А Kassymbekova, G Zhumagul
    Bulletin of Abai KazNPU. Series of Physical and Mathematical sciences 79 (3 … , 2022
    2022
  • Solvability of the inverse problem for the pseudohyperbolic equation
    S Aitzhanov, J Ferreira, K Zhalgassova
    Journal of Mathematics, Mechanics and Computer Science 115 (3), 3-15 , 2022
    2022
    Citations: 1
  • Solvability of pseudoparabolic equation with Caputo fractional derivative
    SE Aitzhanov, UR Kusherbayeva, KS Bekenayeva
    Chaos, Solitons & Fractals 160, 112193 , 2022
    2022
    Citations: 4
  • An inverse problem for the pseudo-parabolic equation with p-Laplacian
    SN Antontsev, SE Aitzhanov, GR Ashurova
    Evolution Equations and Control Theory 11 (2), 399-414 , 2022
    2022
    Citations: 32
  • An Initial Boundary Value Problem for a Pseudoparabolic Equation with a Nonlinear Boundary Condition
    S Aitzhanov, S Antontsev, D Zhanuzakova
    Authorea Preprints , 2022
    2022
  • Solvability of an initial-boundary value problem for a nonlinear pseudoparabolic equation with degeneration
    SE Aitzhanov, Z Tileuberdi, G Sanat
    Bulletin of the Karaganda University. Mathematics Series 105 (1), 4-12 , 2022
    2022
    Citations: 2
  • Solvability of problems of recovering the external influence in the first order hyperbolic equations
    AI Kozhanov, SE Aitzhanov, KA Zhalgassova
    ЗАМЕТКИ СВФУ, 55 , 2022
    2022
  • Unique solvability of generalized solution of initial-boundary value problem for the Stokes system of an inhomogeneous fluid: generalized solution of initial-boundary value …
    U Abylkairov, S Aitzhanov, Z Abdikalikova
    The 7th International Conference on Engineering & MIS 2021, 1-3 , 2021
    2021
  • Identification of the right hand side of a quasilinear pseudoparabolic equation with memory term
    SE Aitzhanov, GR Ashurova, KA Zhalgassova
    Journal of Mathematics, Mechanics and Computer Science 110 (2), 47-63 , 2021
    2021
    Citations: 4
  • Solvability issues of a pseudo-parabolic fractional order equation with a nonlinear boundary condition
    SE Aitzhanov, AS Berdyshev, KS Bekenayeva
    Fractal and Fractional 5 (4), 134 , 2021
    2021
    Citations: 8

MOST CITED SCHOLAR PUBLICATIONS

  • An inverse problem for the pseudo-parabolic equation with p-Laplacian
    SN Antontsev, SE Aitzhanov, GR Ashurova
    Evolution Equations and Control Theory 11 (2), 399-414 , 2022
    2022
    Citations: 32
  • Inverse problem for non-stationary system of magnetohydrodynamics
    UU Abylkairov, SE Aitzhanov
    Boundary Value Problems 2015 (1), 173 , 2015
    2015
    Citations: 11
  • Solvability of pseudoparabolic equations with non-linear boundary condition
    AS Berdyshev, SE Aitzhanov, GO Zhumagul
    Lobachevskii Journal of Mathematics 41 (9), 1772-1783 , 2020
    2020
    Citations: 9
  • Solvability issues of a pseudo-parabolic fractional order equation with a nonlinear boundary condition
    SE Aitzhanov, AS Berdyshev, KS Bekenayeva
    Fractal and Fractional 5 (4), 134 , 2021
    2021
    Citations: 8
  • Inverse problem for an equation with a nonstandard growth condition
    SN Antontsev, SE Aitzhanov
    Journal of Applied Mechanics and Technical Physics 60 (2), 265-277 , 2019
    2019
    Citations: 7
  • Solvability of the inverse problem for a heat convection system with integral condition of overdetermination
    UU Abylkayrov, SE Aitzhanov, LK Zhapsarbayeva
    Applied Mathematical Sciences 9 (49), 2403-2421 , 2015
    2015
    Citations: 6
  • Boundary Value Problem for a Loaded Pseudoparabolic Equation with a Fractional Caputo Operator
    S Aitzhanov, K Bekenayeva, Z Abdikalikova
    Mathematics 11 (18), 3987 , 2023
    2023
    Citations: 5
  • The coefficient inverse problem for a pseudoparabolic equation of the third order
    S Aitzhanov, A Isakhov, K Zhalgassova, G Ashurova
    Journal of Mathematics, Mechanics and Computer Science 119 (3), 3-18 , 2023
    2023
    Citations: 4
  • Solvability of pseudoparabolic equation with Caputo fractional derivative
    SE Aitzhanov, UR Kusherbayeva, KS Bekenayeva
    Chaos, Solitons & Fractals 160, 112193 , 2022
    2022
    Citations: 4
  • Identification of the right hand side of a quasilinear pseudoparabolic equation with memory term
    SE Aitzhanov, GR Ashurova, KA Zhalgassova
    Journal of Mathematics, Mechanics and Computer Science 110 (2), 47-63 , 2021
    2021
    Citations: 4
  • Behavior of solutions to an inverse problem for a quasilinear parabolic equation
    SE Aitzhanov, DT Zhanuzakova
    Сибирские электронные математические известия 16 (0), 1393-1409 , 2019
    2019
    Citations: 3
  • Solvability of inverse problem of a pseudoparabolic equation with fractional Caputo derivative
    SE Aitzhanov, AA Issakhov, AS Kassymbekova, ZT Abdikalikova
    Journal of Mathematics, Mechanics and Computer Science 124 (4), 3-25 , 2024
    2024
    Citations: 2
  • Global existence, uniqueness and asymptotic behavior for a nonlinear viscoelastic problem with internal damping and logarithmic source term
    J Ferreira, M Shahrouzi, SE Aitzhanov, S Cordeiro, DV Rocha
    Differ. Equ. Appl 15 (4), 395-429 , 2023
    2023
    Citations: 2
  • Application of Facenet Machine Learning Model And Haar Cascade Classifier For Biometric Identification
    S Aitzhanov, N Kazyieva, N Burambayeva, Z Shuren, A Aikeyeva
    Journal of Problems in Computer Science and Information Technologies 1 (3) , 2023
    2023
    Citations: 2
  • Solvability of an initial-boundary value problem for a nonlinear pseudoparabolic equation with degeneration
    SE Aitzhanov, Z Tileuberdi, G Sanat
    Bulletin of the Karaganda University. Mathematics Series 105 (1), 4-12 , 2022
    2022
    Citations: 2
  • An initial boundary value problem for a pseudoparabolic equation with a nonlinear boundary condition
    SN Antontsev, SE Aitzhanov, DT Zhanuzakova
    Mathematical Methods in the Applied Sciences 46 (1), 1111-1136 , 2023
    2023
    Citations: 1
  • Solvability of the inverse problem for the pseudohyperbolic equation
    S Aitzhanov, J Ferreira, K Zhalgassova
    Journal of Mathematics, Mechanics and Computer Science 115 (3), 3-15 , 2022
    2022
    Citations: 1
  • Reconstruction of source function for parabolic equations with variable exponents
    UU Abylkairov, SE Aitzhanov
    AIP Conference Proceedings, 020040-020040 , 2015
    2015
    Citations: 1
  • Impulsive pseudo-parabolic equation with nonlinear Robin boundary condition
    S Antontsev, I Kuznetsov, S Aitzhanov
    Nonlinear Analysis: Real World Applications 91, 104605 , 2026
    2026
  • Inverse source problem for p -Harmonic pseudoparabolic equation: S. E. Aitzhanov et al.
    SE Aitzhanov, KH Bayetov, MI Ismailov
    Journal of Pseudo-Differential Operators and Applications 17 (2), 33 , 2026
    2026