Persons: Torebek, Berikbol

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Torebek, Berikbol

Total publications:	80 (79)
in MathSciNet:	48 (48)
in zbMATH:	31 (31)
in Web of Science:	47 (47)
in Scopus:	56 (56)
Cited articles:	52
Citations:	504
Presentations:	1

Number of views:
This page:	4811
Abstract pages:	7516
Full texts:	3390
References:	2548

Main Scientist Researcher

PhD (2017)

Speciality:

01.01.01; 01.01.02 (Calculus; Differential equations)

Website:

https://sites.google.com/view/berikboltorebek/home-page

UDC:

517.956.225, 517.572, 517.956.223, 517.586

MSC:

34K06, 45J05, 35K20, 35R11

Main publications:

M. Borikhanov, B. T. Torebek, “On an inhomogeneous exterior Robin problems with critical nonlinearities”, Journal of Differential Equations, 380:1 (2024), 1-23
B. T. Torebek, “Critical exponents for the p-Laplace heat equations with combined nonlinearities”, Journal of Evolution Equations, 23:4 (2023), 71, 1-15

https://www.mathnet.ru/eng/person54236

https://scholar.google.com/citations?user=f3tgU-oAAAAJ&hl=en

https://zbmath.org/authors/?q=ai:torebek.berikbol-t

https://mathscinet.ams.org/mathscinet/MRAuthorID/951730

https://elibrary.ru/author_items.asp?spin=4981-0013

https://orcid.org/0000-0002-2354-2377

https://www.webofscience.com/wos/author/record/G-5750-2013

https://www.scopus.com/authid/detail.url?authorId=55229305800

https://www.researchgate.net/profile/Berikbol_Torebek

https://arxiv.org/a/turebekb85

Full list of scientific publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)

1.	M. Ruzhansky, B. T. Torebek, “Van der Corput lemmas for Mittag-Leffler functions”, ArXiv, 1-32 (Published online) , arXiv: arXiv:2002.07492
2.	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) , arXiv: arXiv:2110.01082
3.	M. Borikhanov, M. Ruzhansky, B. T. Torebek, “The Fujita exponent for a semilinear heat equation with forcing term on Heisenberg Group”, ArXiv, 1–16 (to appear) , arXiv: arXiv:2207.03744
4.	M. Borikhanov, M. Ruzhansky, B. T. Torebek, “Instantaneous blow up solutions for nonlinear Sobolev type equations on the Heisenberg Group”, ArXiv, 1–14 (to appear) , arXiv: https://arxiv.org/abs/2303.05594
5.	M. Jleli, M. Ruzhansky, B. Samet, B. T. Torebek, “Semilinear wave inequalities with double damping and potential terms on Riemannian Manifolds”, ArXiv, 1–21 (to appear) , arXiv: https://arxiv.org/abs/2312.00617
6.	B. T. Torebek, “Global behavior of solutions of nonlocal in time reaction-diffusion equations”, Proceedings of the American Mathematical Society, 1–15 (to appear) , arXiv: https://arxiv.org/abs/2310.08985v1

2024
7.	B. Sabitbek, B. T. Torebek, “Global existence and blow-up of solutions to the double nonlinear porous medium equation”, Discrete and Continuous Dynamical Systems A, 44:3 (2024), 743–767 , arXiv: arXiv:2104.06896
8.	M. Borikhanov, B. T. Torebek, “On an inhomogeneous exterior Robin problems with critical nonlinearities”, Journal of Differential Equations, 380 (2024), 1–23 , arXiv: https://arxiv.org/abs/2303.14563	2 ^[x]
9.	A. Z. Fino, M. Ruzhansky, B. T. Torebek, “Fujita-type results for the degenerate parabolic equations on the Heisenberg groups”, Nonlinear Differential Equations and Applications NoDEA, 31:2 (2024), 1–37 , arXiv: https://arxiv.org/abs/2303.06509
10.	M. Borikhanov, B. T. Torebek, “Large time behavior of solutions to semilinear evolution inequalities in an annulus: the critical cases”, Journal of Mathematical Analysis and Applications, 536:1 (2024), 128172, 1–24 , arXiv: https://arxiv.org/abs/2401.14102

2023
11.	A. Kashkynbayev, D. Suragan, B. T. Torebek, “Fisher-KPP Equation on the Heisenberg group”, Mathematische Nachrichten, 296:6 (2023), 2395-2403
12.	A. Kassymov, M. Ruzhansky, B. T. Torebek, “Rayleigh-Faber-Krahn, Lyapunov and Hartmann-Wintner inequalities for fractional elliptic problems”, Mediterranean Journal of Mathematics, 20:3 (2023), 119 , arXiv: arXiv:2006.16672
13.	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, 171:3-4 (2023), 377–395 (to appear) , arXiv: arXiv:2106.00406	4 ^[x]
14.	M. Borikhanov, M. Ruzhansky, B. T. Torebek, “Qualitative properties of solutions to the nonlinear time-space fractional diffusion equation”, Fractional Calculus and Applied Analysis, 26:1 (2023), 111-146 , arXiv: arXiv:2205.15664	2 ^[x]
15.	B. T. Torebek, “Sub-diffusion equations with Mittag-Leffler nonlinearity”, Discrete and Continuous Dynamical Systems Series S, 16:6 (2023), 1669–1685
16.	A. G. Smadiyeva, B. T. Torebek, “Decay estimates for the time-fractional evolution equations with time-dependent coefficients”, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 479:2276 (2023), 20230103 , arXiv: arXiv:2210.16120	3 ^[x]
17.	B. T. Torebek, “Critical exponents for the p-Laplace heat equations with combined nonlinearities”, Journal of Evolution Equations, 23:4 (2023), 1–15 (to appear) , arXiv: arXiv:2212.14332	1 ^[x]

2022
18.	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, 67:1 (2022), 246–258	1 ^[x]
19.	A. Kassymov, N. Tokmagambetov, B. T. Torebek, “Multi-term time-fractional diffusion equation and system: mild solutions and critical exponents”, Publicationes Mathematicae Debrecen, 100:3-4 (2022), 295–321	7 ^[x]
20.	M. Ruzhansky, D. Serikbaev, N. Tokmagambetov, B. T. Torebek, “Direct and Inverse problems for time-fractional pseudo-parabolic equations”, Quaestiones Mathematicae, 45:7 (2022), 1071–1089 , arXiv: arXiv:2005.08297	6 ^[x]
21.	M. Ruzhansky, B. T. Torebek, B. Kh. Turmetov, “Well-posedness of Tricomi-Gellerstedt-Keldysh-type fractional elliptic problems”, Journal of Integral Equations and Applications, 34:3 (2022), 373–387 , arXiv: arXiv:2107.03479v1	4 ^[x]
22.	M. Borikhanov, B. T. Torebek, “Nonexistence of global solutions for an inhomogeneous pseudo-parabolic equation”, Applied Mathematics Letters, 134 (2022), 108366 , arXiv: arXiv.2206.02900	4 ^[x]

2021
23.	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	24 ^[x]
24.	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	7 ^[x]
25.	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	6 ^[x]
26.	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	2 ^[x]
27.	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	3 ^[x]
28.	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	2 ^[x]
29.	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	2 ^[x]
30.	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	1 ^[x]
31.	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	5 ^[x]
32.	Sh. A. Alimov, R. R. Ashurov, T. Sh. Kal'menov, B. E. Kanguzhin, V. V. Karachik, M. A. Sadybekov, A. M. Sarsenbi, D. Suragan, N. Tokmagambetov, B. T. Torebek, S. R. Umarov, V. E. Fedorov, “Batirkhan Khudaibergenovich Turmetov (to the 60th anniversary)”, Chelyab. Fiz.-Mat. Zh., 6:1 (2021), 5–8

2020
33.	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	5 ^[x]
34.	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.	6 ^[x]
35.	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	24 ^[x]
36.	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	4 ^[x]
37.	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	3 ^[x]
38.	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	3 ^[x]

2019
39.	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
40.	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	6 ^[x]
41.	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	3 ^[x]
42.	N. Tokmagambetov, B. T. Torebek, “Fractional Sturm-Liouville Equations: self-adjoint extensions”, Complex Analysis and Operator Theory, 13:5 (2019), 2259-2267	6 ^[x]
43.	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	74 ^[x]
44.	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	16 ^[x]
45.	B. T. Torebek, “Global Unsolvability of the Burgers Equation with Fractional Time Derivative”, Differential Equations, 55:6 (2019), 867–870
46.	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
47.	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	11 ^[x]
48.	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	31 ^[x]

2018
49.	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	14 ^[x]
50.	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
51.	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
52.	N. Tokmagambetov, B.T. Torebek, “Symmetric differential operators of fractional order and their extensions”, Transactions of the Moscow Mathematical Society, 2018, 177-185
53.	N. Tokmagambetov, B. T. Torebek, “Greens formula for integro-differential operators”, Journal of Mathematical Analysis and Applications, 468:1 (2018), 473–479	6 ^[x]
54.	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
55.	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	4 ^[x]

2017
56.	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
57.	M. Kirane, B. Kh. Turmetov, B. T. Torebek, “A nonlocal fractional Helmholtz equation”, Fractional Differential Calculus, 7:2 (2017), 225–234	3 ^[x]
58.	V. V. Karachik, B. T. Torebek, “On the Dirichlet–Riquier Problem for Biharmonic Equations”, Mathematical Notes, 102:1 (2017), 32-43
59.	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	3 ^[x]
60.	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	38 ^[x]
61.	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

2016
62.	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
63.	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.	13 ^[x]
64.	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	1 ^[x]
65.	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	2 ^[x]
66.	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.
67.	V. V. Karachik, B. T. Torebek, “On one mathematical model described by boundary value problem for the biharmonic equation”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 9:4 (2016), 10.14529/mmp160404, 40–52 , 40-52 pp.	3 ^[x]
68.	N. Tokmagambetov, B.T. Torebek, “Fractional Analogue of Sturm–Liouville Operator”, Documenta Mathematica, 21 (2016) , 1503-1514 pp.	18 ^[x]

2015
69.	Turmetov B.Kh., Torebek B.T., “Modified Bavrin operators and their applications”, Differential Equations, 51:2 (2015), 243-254
70.	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	25 ^[x]
71.	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
72.	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
73.	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.	1 ^[x]
74.	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.
75.	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
76.	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.	7 ^[x]

2012
77.	Torebek B.T., “O reshenii spektralnym metodom odnoi nachalno-kraevoi zadachi dlya vozmuschennogo uravneniya subdiffuzii s involyutnym otkloneniem”, Doklady Adyskoi (Cherkesskoi) Mezhdunarodnoi akademii nauk, 14:3 (2012), 41-46 , 6 pp.
78.	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

2011
79.	Torebek B.T., “Ob odnom analoge tretei kraevoi zadachi dlya uravneniya Laplasa s granichnym operatorom drobnogo poryadka v smysle Kaputo”, Doklady Adyskoi (Cherkesskoi) Mezhdunarodnoi akademii nauk, 13:2 (2011), 62-68 , 7 pp.

2010
80.	Turmetov B.Kh., Torebek B.T., “O razreshimosti analoga tretei kraevoi zadachi s granichnym operatorom drobnogo poryadka”, Zhurnal Sredne Volzhskogo matematicheskogo obschestva, 12:3 (2010), 135-144

Presentations in Math-Net.Ru

1.	Nonexistence of global solutions for a semilinear pseudo-parabolic equations with forcing term B. T. Torebek Seminar on nonlinear problems of partial differential equations and mathematical physics October 4, 2022 18:00

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