Образования:
Бакалавр: 2003-2007 (МКТУ имени Х.А.Ясави);
Магистратура: 2007-2009 (МКТУ имени Х.А.Ясави);
PhD докторантура: 2014-2017 (КазНУ имени аль-Фараби).
Карьера:
Преподаватель кафедры "Математика": 2009-2014 (МКТУ имени Х.А.Ясави);
Научный сотрудник отдела "Дифференциальные уравнения": 2014-2017. (Институт математики и математического моделирования).
Главный научный сотрудник отдела "Дифференциальные уравнения": 2018-н.в. (Институт математики и математического моделирования). Researcher кафедры фундаментальной математики; 2018-н.в. (КазНУ им. аль-Фараби). Researcher отдела математики; 2019-н.в. (Гентский университет).
Член AMS (American Mathematical Society) и EMS (European Mathematical Society); референт реферативного журнала Mathematical Reviews (с 2017).
Основные публикации:
Карачик В.В., Турметов Б.Х., Торебек Б.Т., “О некоторых интегро-дифференциальных операторах в классе гармонических функции и их применении”, Математические труды, 14:1 (2011), 99-125
Турметов Б.Х., Торебек Б.Т., “Модифицированные операторы Баврина и их применения”, Дифференциальные уравнения, 51:2 (2015), 240-250
Torebek B.T., Tapdigoglu R., “Some inverse problems for the nonlocal heat equation with Caputo fractional derivative”, Mathematical Methods in the Applied Sciences, 40:18 (2017), 6468-6479
Borikhanov M., Kirane M., Torebek B.T., “Maximum principle and its application for the nonlinear time-fractional diffusion equations with Cauchy-Dirichlet conditions”, Applied Mathematics Letters, 81:7 (2018), 14-20
A. Kassymov, N. Tokmagambetov, B. T. Torebek, “Multi-term time-fractional diffusion equation and system: mild solutions and critical exponents”, Publicationes Mathematicae Debrecen, 1-21 (to appear)
2.
A. Kashkynbayev, D. Suragan, B. T. Torebek, “Fisher-KPP Equation on the Heisenberg group”, Mathematische Nachrichten, 1-9 (to appear)
3.
M. Ruzhansky, B. T. Torebek, “Van der Corput lemmas for Mittag-Leffler functions”, ArXiv, 1-32 (Published online) , arXiv: arXiv:2002.07492
4.
M. Ruzhansky, D. Serikbaev, N. Tokmagambetov, B. T. Torebek, “Direct and Inverse problems for time-fractional pseudo-parabolic equations”, Quaestiones Mathematicae, 1–18 (to appear) , arXiv: arXiv:2005.08297
5.
A. Kassymov, M. Ruzhansky, B. T. Torebek, “Rayleigh-Faber-Krahn, Lyapunov and Hartmann-Wintner inequalities for fractional elliptic problems”, ArXiv, 1–13 (to appear) , arXiv: arXiv:2006.16672
6.
B. Sabitbek, B. T. Torebek, “Global existence and blow-up of solutions to the nonlinear porous medium equation”, ArXiv, 1-15 (to appear) , arXiv: arXiv:2104.06896
7.
M. Ruzhansky, B. Sabitbek, B. T. Torebek, “Global existence and blow-up of solutions to porous medium equation and pseudo-parabolic equation, I. Stratified Groups”, Manuscripta Mathematica, 1–17 (to appear) , arXiv: arXiv:2106.00406
8.
M. Ruzhansky, B. T. Torebek, B. Kh. Turmetov, “Well-posedness of Tricomi-Gellerstedt-Keldysh-type fractional elliptic problems”, Journal of Integral Equations and Applications, 1–15 (to appear) , arXiv: arXiv:2107.03479v1
9.
A. Kassymov, M. Ruzhansky, N. Tokmagambetov, B. T. Torebek, “Liouville theorems for Kirchhoff-type hypoelliptic Partial Differential Equations and systems. I. Heisenberg group”, ArXIv, 1–37 (to appear)
2021
10.
B. Ahmad, A. Alsaedi, M. Kirane, B. T. Torebek, “Blowing-up solutions of the time-fractional dispersive equations”, Advances in Nonlinear Analysis, 10 (2021), 952–971 , arXiv: arXiv:1901.09246 (cited: 11)
11.
A. Alsaedi, M. Kirane, B. T. Torebek, “Global existence and blow-up for space and time nonlocal reaction-diffusion equation”, Quaestiones Mathematicae, 44:5 (2021), 747–753 , arXiv: arXiv:1901.06632 (cited: 1)
12.
M. Kirane, B. T. Torebek, “Maximum principle for space and time-space fractional partial differential equations”, Zeitschrift fur Analysis und ihre Anwendung, 40:3 (2021), 277–301 , arXiv: arXiv:2002.09314
13.
M. Borikhanov, B. T. Torebek, “Local and blowing-up solutions for an integro-differential diffusion equation and system”, Chaos, Solitons and Fractals, 148 (2021), 1-18 , arXiv: arXiv:1910.06989
14.
M. Borikhanov, B. T. Torebek, “Local existence and global nonexistence results for the integro-differential diffusion system with nonlocal nonlinearity”, Mathematical Methods in the Applied Sciences, 44:2 (2021), 1796–1811 (cited: 1)
15.
A. Kassymov, M. Ruzhansky, N. Tokmagambetov, B. T. Torebek, “Sobolev, Hardy, Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg type inequalities for the fractional derivatives”, Banach Journal of Mathematical Analysis, 15:1 (2021), 1–24 , arXiv: arXiv:2007.00516
16.
M. Ruzhansky, B. T. Torebek, “Van der Corput lemmas for Mittag-Leffler functions. II. α-directions”, Bulletin des Sciences Mathématiques, 171:103016 (2021), 1–23 , arXiv: arXiv:2005.04546
17.
R. Tapdigoglu, B. T. Torebek, “Commutant and uniqueness of solutions of Duhamel equations”, Bulletin of the Malaysian Mathematical Sciences Society, 44:2 (2021), 705–710
18.
A. Kassymov, B. T. Torebek, “Lyapunov-type inequalities for a nonlinear fractional boundary value problem”, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 115 (2021), 1–10 (cited: 1)
19.
Ш. А. Алимов, Р. Р. Ашуров, Т. Ш. Кальменов, Б. Е. Кангужин, В. В. Карачик, М. А. Садыбеков, А. М. Сарсенби, Д. Сураган, Н. Е. Токмагамбетов, Б. Т. Торебек, С. Р. Умаров, В. Е. Федоров, “Батырхан Худайбергенович Турметов (к 60-летию со дня рождения)”, Челяб. физ.-матем. журн., 6:1 (2021), 5–8
2020
20.
A. Alsaedi, M. Kirane, B. T. Torebek, “Blow-up of smooth solutions of the time-fractional Burgers equation”, Quaestiones Mathematicae, 43:2 (2020), 185–192 (cited: 2)
21.
M. Ruzhansky, N. Tokmagambetov, B. T. Torebek, “Bitsadze-Samarskii type problem for the integro-differential diffusion-wave equation on the Heisenberg group”, Integral Transforms And Special Functions, 31:1 (2020) , 1-9 pp. (cited: 5)
22.
M. Ruzhansky, N. Tokmagambetov, B. T. Torebek, “On a non-local problem for a multi-term fractional diffusion-wave equation”, Fractional Calculus and Applied Analysis, 23:2 (2020), 324–355 , arXiv: arXiv:1812.01336 (cited: 14)
23.
A. Kassymov, M. Kirane, B. T. Torebek, “Lyapunov, Hartman-Wintner and de La Vallée Poussin-type inequalities for fractional elliptic boundary value problems”, Complex Variables and Elliptic Equations, 2020, 1–12 (to appear)
24.
R. Tapdigoglu, B. T. Torebek, “Global existence and blow-up of solutions of the time-fractional space-involution reaction-diffusion equation”, Turkish Journal of Mathematics, 44:3 (2020), 960–969 (cited: 2)
25.
A. Kassymov, N. Tokmagambetov, B. T. Torebek, “Nonexistence results for the hyperbolic-type equations on graded Lie groups”, Bulletin of the Malaysian Mathematical Sciences Society, 43:6 (2020), 4223–4243
26.
M. Ruzhansky, B. T. Torebek, “Multidimensional Van der Corput-type estimates involving Mittag-Leffler functions”, Fractional Calculus and Applied Analysis, 23:6 (2020), 1663–1677 (cited: 1)
2019
27.
T. Sh. Kalmenov, B. T. Torebek, “A method for solving ill-posed nonlocal problem for the elliptic equation with data on the whole boundary”, Journal of Pseudo-Differential Operators and Applications, 10:1 (2019), 177–185
28.
N. Al-Salti, M. Kirane, B. T. Torebek, “On a class of inverse problems for a heat equation with involution perturbation”, Hacettepe Journal of Mathematics and Statistics, 48:3 (2019), 669–681 (cited: 8)
29.
T. Sh. Kalmenov, M. A. Sadybekov, B. T. Torebek, “A criterion of solvability of the elliptic Cauchy problem in a multi-dimensional cylindrical domain”, Complex Variables and Elliptic Equations, 64:3 (2019), 398–408 (cited: 1)
30.
N. Tokmagambetov, B. T. Torebek, “Fractional Sturm-Liouville Equations: self-adjoint extensions”, Complex Analysis and Operator Theory, 13:5 (2019), 2259-2267 (cited: 5)
31.
B. Ahmad, A. Alsaedi, M. Kirane, B. T. Torebek, “Hermite-Hadamard, Hermite-Hadamard-Fejer, Dragomir-Agarwal and
Pachpatte type inequalities for convex functions via new fractional
integrals”, Journal of Computational and Applied Mathematics, 353 (2019), 120-129 (cited: 32)
32.
M. Kirane, B. T. Torebek, “Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations”, Fractional Calculus and Applied Analysis, 22:2 (2019), 358–378 (cited: 15)
33.
Б. Т. Торебек, “Глобальная неразрешимость уравнении Бюргерса с дробным по времени производным”, Дифференциальные уравнения, 55:6 (2019), 883–886; B. T. Torebek, “Global Unsolvability of the Burgers Equation with Fractional Time Derivative”, Differential Equations, 55:6 (2019), 867–870 (cited: 3)
34.
M. Kirane, B. T. Torebek, “On a nonlinear problem of the breaking water waves”, Bulletin of the South Ural State University, Series «Mathematical Modelling, Programming & Computer Software», 12:2 (2019), 37-46
35.
S. S. Darogomir, B. T. Torebek, “Some Hermite-Hadamard type inequalities in the class of hyperbolic p-convex functions”, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 113:4 (2019), 3413–3423 , arXiv: arXiv:1901.06634 (cited: 3)
36.
M. Ruzhansky, N. Tokmagambetov, B. T. Torebek, “Inverse source problems for positive operators. I: Hypoelliptic diffusion and subdiffusion equations”, Journal of Inverse and Ill-Posed Problems, 27:6 (2019), 891–911 , arXiv: arXiv:1812.11483 (cited: 10)
2018
37.
M. Borikhanov, M. Kirane, B. T. Torebek, “Maximum principle and its application for the nonlinear time-fractional diffusion equations with Cauchy-Dirichlet conditions”, Applied Mathematics Letters, 81 (2018), 14-20 (cited: 9)
38.
N. Tokmagambetov, B. T. Torebek, “Well-posed problems for the fractional Laplace equation with integral boundary conditions”, Electronic Journal of Differential Equations, 2018 (2018), 1-10 (cited: 3)
39.
R. Tapdigoglu, B. T. Torebek, “On a nonlinear boundary-layer problem for the fractional Blasius type equation”, International Journal of Nonlinear Sciences and Numerical Simulation, 19:5 (2018), 493-498
40.
Н. Е. Токмагамбетов, Б. Т. Торебек, “Симметричные дифференциальные операторы
дробного порядка и их расширения”, Труды Московского математического общества, Тр. ММО, 79, № 2, МЦНМО, М., 2018, 209–219 (цит.: 1) ; N. Tokmagambetov, B.T. Torebek, “Symmetric differential operators of fractional order and their extensions”, Transactions of the Moscow Mathematical Society, 2018, 177-185
41.
N. Tokmagambetov, B. T. Torebek, “Greens formula for integro-differential operators”, Journal of Mathematical Analysis and Applications, 468:1 (2018), 473–479 (cited: 3)
42.
N. Tokmagambetov, B. T. Torebek, “Anomalous Diffusion Phenomena with Conservation Law for the Fractional Kinetic Process”, Mathematical Methods in the Applied Sciences, 41:17 (2018), 8161-8170
43.
M. Kirane, B. T. Torebek, “A Lyapunov-type inequality for a fractional boundary value problem with Caputo-Fabrizio derivative”, Journal of Mathematical Inequalities, 12:4 (2018), 1005–1012 (cited: 5)
2017
44.
М. А. Садыбеков, Б. Т. Торебек, Б. Х. Турметов, “Представление функции Грина внешней задачи Неймана для оператора Лапласа”, Сибирский математический журнал, 58:1 (2017), 199-205 (цит.: 25) (цит.: 27) ; M. A. Sadybekov, B. T. Torebek, B. Kh. Turmetov, “Representation of the Green’s function of the exterior Neumann problem for the Laplace operator”, Siberian Mathematical Journal, 58:1 (2017), 153-158 (cited: 27) (cited: 25)
45.
M. Kirane, B. Kh. Turmetov, B. T. Torebek, “A nonlocal fractional Helmholtz equation”, Fractional Differential Calculus, 7:2 (2017), 225–234
46.
В. В. Карачик, Б. Т. Торебек, “О задаче Дирихле–Рикье для бигармонического уравнения”, Матем. заметки, 102:1 (2017), 39–51 (цит.: 8) (цит.: 7) ; V. V. Karachik, B. T. Torebek, “On the Dirichlet–Riquier Problem for Biharmonic Equations”, Mathematical Notes, 102:1 (2017), 32-43 (cited: 7) (cited: 9) (cited: 9)
47.
T. Sh. Kal'menov, B. T. Torebek, “On an ill-posed problem for the Laplace operator with nonlocal boundary condition”, Eurasian Math. J., 8:1 (2017), 50–57 (cited: 3) (cited: 2)
48.
B. T. Torebek, R. Tapdigoglu, “Some inverse problems for the nonlocal heat equation with Caputo fractional derivative”, Mathematical Methods in the Applied Sciences, 40:18 (2017), 6468–6479 (cited: 9)
49.
M. Kirane, B. Samet and B.T. Torebek, “Determination of an unknown source term and the temperature distribution for the sub-diffusion equation at the initial and final data”, Electronic Journal of Differential Equations, 2017:257 (2017), 1–13 (cited: 14)
2016
50.
M.A. Sadybekov, B.T. Torebek, B.Kh. Turmetov, “Representation of Green’s function of the Neumann problem for a multi-dimensional ball”, Complex Variables and Elliptic Equations: An International Journal, 61:1 (2016), 104-123 , DOI:10.1080/17476933.2015.1064402 (cited: 32)
51.
M. Kirane, B.T. Torebek, “On a nonlocal problem for the Laplace equation in the unit ball with fractional boundary conditions”, Mathematical Methods in the Applied Sciences, 39:5 (2016), 1121-1128 , 8 pp. (cited: 5)
52.
Berikbol T. Torebek, Batirkhan Kh. Turmetov, “Questions on solvability of exterior boundary value problems with fractional boundary conditions”, Electronic Journal of Qualitative Theory of Differential Equations, 2016:25 (2016), 1-14 (cited: 1)
53.
M. A. Sadybekov, B. T. Torebek, B. Kh. Turmetov, “Construction of Green’s function of the Neumann problem in a ball”, Eurasian Math. J., 7:2 (2016), 100–105 (cited: 1) (cited: 2) (cited: 2)
54.
B.T. Torebek, “A method for solving ill-posed Robin-Cauchy problems for second-order elliptic equations in multi-dimensional cylindrical domains”, Electronic Journal of Differential Equations, 2016:252 (2016), 252 , 9 pp. (cited: 4)
55.
V. V. Karachik, B. T. Torebek, “On one mathematical model described by boundary value problem for the biharmonic equation”, Вестн. ЮУрГУ. Сер. Матем. моделирование и программирование, 9:4 (2016), 10.14529/mmp160404, 40–52 , 40-52 с. (цит.: 3) (цит.: 3) (цит.: 3)
56.
N. Tokmagambetov, B.T. Torebek, “Fractional Analogue of Sturm–Liouville Operator”, Documenta Mathematica, 21 (2016) , 1503-1514 pp. (cited: 9)
2015
57.
Турметов Б.Х., Торебек Б.Т., “Модифицированные операторы Баврина и их применения”, Дифференциальные уравнения, 51:2 (2015), 240-250 (цит.: 2); Turmetov B.Kh., Torebek B.T., “Modified Bavrin operators and their applications”, Differential Equations, 51:2 (2015), 243-254 (cited: 12)
58.
Sadybekov M.A., Turmetov B.Kh., Torebek B.T., “On an explicit form of the Green function of the Robin problem for the Laplace operator in a circle”, Advances in Pure and Applied Mathematics, 6:3 (2015), 163-172
59.
V.V. Karachik, M.A. Sadybekov, B.T. Torebek, “Uniqueness of solutions to boundary-value problems for the biharmonic equation in a ball”, Electronic Journal of Differential Equations, 2015:244 (2015), 1-9 (cited: 19) (cited: 20)
60.
Б. Т. Торебек, “Модифицированные интегро-дифференциальные операторы Римана–Лиувилля в классе гармонических функций и их применения”, Уфимск. матем. журн., 7:3 (2015), 76–87; B. T. Torebek, “Modified Riemann–Liouville integro-differential operators in the class of harmonic functions and their applications”, Ufa Math. Journal, 7:3 (2015), 73–83
2014
61.
Turmetov B.Kh., Torebek B.T., Ontuganova Sh., “Some Problems for Fractional Analogue of Laplace Equation”, International Journal of Pure and Applied Mathematics, 94:4 (2014), 525-532 , 8 pp.
62.
Sadybekov M.A., Torebek B.T., Turmetov B.Kh., “Solvability of Nonlocal Boundary-Value Problems for the Laplace Equation in the Ball”, Electronic Journal of Differential Equations, 2014:157 (2014), 1-14 , 14 pp. (cited: 38) (cited: 37)
63.
Turmetov B.Kh., Torebek B.T., “On solvability of some boundary value problems for a fractional analogue of the Helmholtz equation”, New York Journal of Mathematics, 20:2014 (2014), 1237-1251 , 15 pp.
2013
64.
Torebek B.T., Turmetov B.Kh., “On solvability of a boundary value problem for the Poisson equation with the boundary operator of a fractional order”, Boundary Value Problems, 2013:93 (2013), 10.1186/1687-2770-2013-93 , 18 pp. (cited: 15)
2012
65.
Торебек Б.Т., “О решении спектральным методом одной начально-краевой задачи для возмущенного уравнения субдиффузии с инволютным отклонением”, Доклады Адыской (Черкесской) Международной академии наук, 14:3 (2012), 41-46 , 6 с.
2011
66.
Карачик В.В., Турметов Б.Х., Торебек Б.Т., “О некоторых интегро-дифференциальных операторах в классе гармонических функции и их применении”, Математические труды, 14:1 (2011), 1 , 99-125 с. (цит.: 22) (цит.: 22) (цит.: 5); V. V. Karachik, B. K. Turmetov, B. T. Torebek, “On some integro-differential operators in the class of harmonic functions and their applications”, Siberian Adv. Math., 22:2 (2012), 115–134 (cited: 13) (cited: 16)
67.
Торебек Б.Т., “Об одном аналоге третьей краевой задачи для уравнения Лапласа с граничным оператором дробного порядка в смысле Капуто”, Доклады Адыской (Черкесской) Международной академии наук, 13:2 (2011), 62-68 , 7 с.
2010
68.
Турметов Б.Х., Торебек Б.Т., “О разрешимости аналога третьей краевой задачи с граничным оператором дробного порядка”, Журнал Средне Волжского математического общества, 12:3 (2010), 135-144 (цит.: 1)
2021
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