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
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
2.
M. Kirane, B. T. Torebek, “Maximum principle for space and time-space fractional partial differential equations”, Zeitschrift fur Analysis und ihre Anwendung, 2021, 1–24 (to appear) , arXiv: arXiv:2002.09314
3.
M. Borikhanov, B. T. Torebek, “Local and blowing-up solutions for an integro-differential diffusion equation and system”, Chaos, Solitons and Fractals, 2021, 1-27 (to appear) , arXiv: arXiv:1910.06989
4.
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
5.
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
6.
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
2020
7.
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: 1)
8.
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: 3)
9.
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: 3)
10.
A. Alsaedi, M. Kirane, B. T. Torebek, “Global existence and blow-up for space and time nonlocal reaction-diffusion equation”, Quaestiones Mathematicae, 2020, 1–6 (to appear) , arXiv: arXiv:1901.06632
11.
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)
12.
A. Kassymov, N. Tokmagambetov, B. T. Torebek, “Multi-term time-fractional diffusion equation and system: mild solutions and critical exponents”, Preprint, 2020, 1-17 (to appear)
13.
A. Kashkynbayev, D. Suragan, B. T. Torebek, “Fisher-KPP Equation on the Heisenberg group”, Preprint, 2020, 1-9 (to appear)
14.
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: 1)
15.
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
16.
M. Ruzhansky, B. T. Torebek, “Van der Corput lemmas for Mittag-Leffler functions”, ArXiv, 2020, 1-32 (Published online) , arXiv: arXiv:2002.07492
17.
M. Ruzhansky, D. Serikbaev, N. Tokmagambetov, B. T. Torebek, “Direct and Inverse problems for time-fractional pseudo-parabolic equations”, ArXiv, 2020, 1–18 (to appear) , arXiv: arXiv:2005.08297
18.
A. Kassymov, N. Tokmagambetov, B. T. Torebek, “Fujita type critical exponents for time-fractional diffusion equations and systems”, Preprint, 2020, 1–10 (to appear)
19.
M. Ruzhansky, B. T. Torebek, “Van der Corput lemmas for Mittag-Leffler functions. II. α-directions”, ArXiv, 2020, 1–19 (to appear) , arXiv: arXiv:2005.04546
20.
M. Borikhanov, M. Kirane, B. T. Torebek, “Globally unsolvability of integro-differential diffusion equations with exponential nonlinearity”, Preprint, 2020, 1–20 (to appear)
21.
R. Tapdigoglu, B. T. Torebek, “Commutant and uniqueness of solutions of Duhamel equations”, Bulletin of the Malaysian Mathematical Sciences Society, 2020, 1–6 (to appear)
22.
A. Kassymov, M. Ruzhansky, B. T. Torebek, “Rayleigh-Faber-Krahn, Lyapunov and Hartmann-Wintner inequalities for fractional elliptic problems”, ArXiv, 2020, 1–13 (to appear) , arXiv: arXiv:2006.16672
23.
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
2019
24.
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
25.
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: 4)
26.
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)
27.
M. Borikhanov, B. T. Torebek, “Duhamel principle for the time-fractional diffusion equation in unbounded domain”, Eurasian Mathematical Journal, 2019, 1-5 (to appear)
28.
N. Tokmagambetov, B. T. Torebek, “Fractional Sturm-Liouville Equations: self-adjoint extensions”, Complex Analysis and Operator Theory, 13:5 (2019), 2259-2267 (cited: 4)
29.
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: 16)
30.
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: 9)
31.
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: 1)
32.
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
33.
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)
34.
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: 3)
2018
35.
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: 6)
36.
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)
37.
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
38.
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; N. Tokmagambetov, B.T. Torebek, “Symmetric differential operators of fractional order and their extensions”, Transactions of the Moscow Mathematical Society, 2018, 177-185
39.
N. Tokmagambetov, B. T. Torebek, “Greens formula for integro-differential operators”, Journal of Mathematical Analysis and Applications, 468:1 (2018), 473–479 (cited: 3)
40.
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
41.
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: 4)
2017
42.
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.: 23) ; 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: 23) (cited: 22)
43.
M. Kirane, B. Kh. Turmetov, B. T. Torebek, “A nonlocal fractional Helmholtz equation”, Fractional Differential Calculus, 7:2 (2017), 225–234
44.
В. В. Карачик, Б. Т. Торебек, “О задаче Дирихле–Рикье для бигармонического уравнения”, Матем. заметки, 102:1 (2017), 39–51 (цит.: 5) (цит.: 5) ; V. V. Karachik, B. T. Torebek, “On the Dirichlet–Riquier Problem for Biharmonic Equations”, Mathematical Notes, 102:1 (2017), 32-43 (cited: 5) (cited: 6) (cited: 6)
45.
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)
46.
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: 6)
47.
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: 5)
2016
48.
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: 28)
49.
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)
50.
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)
51.
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: 1) (cited: 1)
52.
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)
53.
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)
54.
N. Tokmagambetov, B.T. Torebek, “Fractional Analogue of Sturm–Liouville Operator”, Documenta Mathematica, 21 (2016) , 1503-1514 pp. (cited: 7)
2015
55.
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)
56.
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
57.
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: 10) (cited: 17)
58.
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
59.
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.
60.
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: 36) (cited: 36)
61.
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
62.
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
63.
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
64.
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)
65.
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
66.
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
Пользовательское соглашение