Publications

1. A. Z. Fino, B. T. Torebek, Parabolic problems whose Fujita critical exponent is not given by scaling, ArXiv, 1-22

2. N. N. Tobakhanov, B. T. Torebek, A note on lifespan estimates for higher-order parabolic equations, ArXiv, 1-11

3. A. Z. Fino, B. T. Torebek, Fujita-type results for parabolic equations with Hartree-type nonlinearities, ArXiv, 1-21

4. V. Kumar, B. T. Torebek, Blow-up criteria for the semilinear parabolic equations driven by mixed local-nonlocal operators, ArXiv, 1-14

5. A. Kassymov, B. T. Torebek, Berezin-Li-Yau inequality for mixed local-nonlocal Dirichlet-Laplacian, ArXiv, 1-8

6. V. Kumar, B. T. Torebek, Fujita-type results for the semilinear heat equations driven by mixed local-nonlocal operators, ArXiv, 1-21

7. M. Jleli, M. Ruzhansky, B. Samet, B. T. Torebek, Higher-order evolution inequalities with Hardy potential on the Korányi ball, ArXiv, 1-24

8. A. Kassymov, M. Ruzhansky, N. Tokmagambetov, B. T. Torebek, Liouville theorems for Kirchhoff-type hypoelliptic Partial Differential Equations and systems. ArXiv, 1–37

2026

1. N. N. Tobakhanov, B. T. Torebek, On the critical behavior for the semilinear biharmonic heat equation with forcing term in an exterior domain, Journal of Differential Equations, 451 (2025) ArXiv, 113758, 53p.

2. M. Kirane, A. Z. Fino, B. T. Torebek, Z. Sabbagh, Cazenave-Dickstein-Weissler-type extension of Fujita's problem on Heisenberg groups, Mathematical Methods in the Applied Sciences, 49:2 (2026), ArXiv, 499-511

2025

3. B. T. Torebek, Blow-up results for the semilinear Schrödinger equations with forcing and gradient terms: the critical cases, Zeitschrift für angewandte Mathematik und Physik, 76:4, (2025) ArXiv, 166

4. M. Jleli, M. Ruzhansky, B. Samet, B. T. Torebek, Semilinear wave inequalities with double damping and potential terms on Riemannian Manifolds, The Journal of Geometric Analysis, 35:10 (2025) ArXiv, 1-26

5. V. Kumar, S. S. Mondal, M. Ruzhansky, B. T. Torebek, Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces: the critical case, Journal of Evolution Equations, 25:3, (2025) ArXiv, 1-29

6. B. T. Torebek, Global behavior of nonlocal in time reaction-diffusion equations, Evolution Equations and Control Theory, 14:4 (2025), 733-747 ArXiv

7. J. E. Restrepo, M. Ruzhansky, B. T. Torebek, Integro-differential diffusion equations on graded Lie groups, Asymptotic Analysis, 144:1 (2025), 1065-1080 ArXiv

8. M. Borikhanov, M. Ruzhansky, B. T. Torebek, The Fujita exponent for a semilinear heat equation with forcing term on Heisenberg Group, Mathematical Methods in the Applied Sciences, 48:3 (2025), 3794-3810 ArXiv 

9. M. Borikhanov, M. Ruzhansky, B. T. Torebek, Instantaneous blow up solutions for nonlinear Sobolev type equations on the Heisenberg Group, Discrete and Continuous Dynamical Systems - Series S, 18:8 (2025) 2127-2141 ArXiv

10. A. Kassymov, B. T. Torebek, Lyapunov-type inequality and positive solutions  for a nonlinear fractional boundary value problem, Rendiconti del Circolo Matematico di Palermo Series 2, 74:1 (2025), 1-17

2024

11. M. Borikhanov, B. T. Torebek, On inhomogeneous exterior Robin problems with critical nonlinearities, Journal of Differential Equations, 380 (2024), 1-23 ArXiv

12. 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

13. M. Borikhanov, B. T. Torebek, Behavior of solutions to semilinear evolution inequalities in an annulus: the critical cases, Journal of Mathematical Analysis and Applications, 536:1 (2024), 128172 ArXiv

14. 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

15. M. Ruzhansky, B. T. Torebek, Van der Corput lemmas for Mittag-Leffler functions, Zeitschrift für Analysis und ihre Anwendungen, 43:3/4 (2024), 349-376 ArXiv

2023

16. B. T. Torebek, Critical exponents for the p-Laplace heat equations with combined nonlinearities, Journal of Evolution Equations, 23:4 (2023), 1–15 ArXiv

17. 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, ArXiv, 479:2276 (2023), 20230103

18. B. T. Torebek, Sub-diffusion equations with Mittag-Leffler nonlinearity, Discrete and Continuous Dynamical Systems Series S, 16:6 (2023), 1669-1685

19. 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

20. 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, ArXiv

21. A. Kashkynbayev, D. Suragan, B. T. Torebek, Fisher-KPP Equation on the Heisenberg group, Mathematische Nachrichten, 296:6 (2023), 2395-2403

22. 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, 1–13

2022

23. M. Borikhanov, B. T. Torebek, Nonexistence of global solutions for an inhomogeneous pseudo-parabolic equation, Applied Mathematics Letters, 134 (2022), 108366, ArXiv

24. 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

25. 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

26. 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

27. 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

2021

28. 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

29. M. Kirane, B. T. Torebek, Maximum principle for space and time-space fractional partial differential equations, Zeitschrift für Analysis und ihre Anwendungen, 40:3 (2021), 277–301, ArXiv

30. 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

31. 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

32. 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

33. 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

34. M. Ruzhansky, B. T. Torebek, Van der Corput lemmas for Mittag-Leffler functions. II. α-directions, Bulletin des Sciences Mathématiques, 171 (2021), 103016, ArXiv

35. 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

36. 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

2020

37. 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

38. 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

39. 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

40. 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

41. 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

42. 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

2019

43. 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 ArXiv

44. B. T. Torebek, Global Unsolvability of the Burgers Equation with Fractional Time Derivative, Differential Equations, 55:6 (2019), 867–870

45. 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

46. 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

47. 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 ArXiv

48. N. Tokmagambetov, B. T. Torebek, Fractional Sturm-Liouville Equations: self-adjoint extensions, Complex Analysis and Operator Theory, 13:5 (2019), 2259-2267

49. 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 ArXiv

50. 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 ArXiv

51. 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

52. 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

2018

53. N. Tokmagambetov, B. T. Torebek, Greens formula for integro-differential operators, Journal of Mathematical Analysis and Applications, 468:1 (2018), 473–479

54. 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 ArXiv

55. N. Tokmagambetov, B.T. Torebek, Symmetric differential operators of fractional order and their extensions, Transactions of the Moscow Mathematical Society, 2018, 177-185

56. 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

57. 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

58. 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

59. 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

2017

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

61. M. Kirane, B. Samet, 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

62. V. V. Karachik, B. T. Torebek, On the Dirichlet–Riquier Problem for Biharmonic Equations, Mathematical Notes, 102:1 (2017), 32-43

63. 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

64. M. Kirane, B. Kh. Turmetov, B. T. Torebek, A nonlocal fractional Helmholtz equation, Fractional Differential Calculus, 7:2 (2017), 225–234

65. T. Sh. Kal'menov, B. T. Torebek, On an ill-posed problem for the Laplace operator with nonlocal boundary condition, Eurasian Mathematical Journal, 8:1 (2017), 50–57

2016

66. N. Tokmagambetov, B. T. Torebek, Fractional Analogue of Sturm–Liouville Operator, Documenta Mathematica, 21 (2016), 1503-1514

67. 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), 1-9

68. 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

69. 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, 61:1 (2016), 104-123

70. B. T. Torebek, B. 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

71. M. A. Sadybekov, B. T. Torebek, B. Kh. Turmetov, Construction of Green’s function of the Neumann problem in a ball, Eurasian Mathematical Journal, 7:2 (2016), 100–105

72. V. V. Karachik, B. T. Torebek, On one mathematical model described by boundary value problem for the biharmonic equation, Bulletin of the South Ural State University. Ser. Mathematical Modelling, Programming & Computer Software, 9:4 (2016), 40–52

2015

73. B. Kh. Turmetov, B. T. Torebek, Modified Bavrin operators and their applications, Differential Equations, 51:2 (2015), 243-254

74. 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

75. M. A. Sadybekov, B. Kh. Turmetov, B. T. Torebek, 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

76. B. T. Torebek, Modified Riemann–Liouville integro-differential operators in the class of harmonic functions and their applications, Ufa Mathematical Journal, 7:3 (2015), 73–83

2014

77. B. Kh. Turmetov, B. T. Torebek, 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

78. M. A. Sadybekov, B. Kh. Turmetov, B. T. Torebek, Solvability of Nonlocal Boundary-Value Problems for the Laplace Equation in the Ball, Electronic Journal of Differential Equations, 2014:157 (2014), 1-14

2013

79. B. T. Torebek, B. Kh. Turmetov, 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), 1-18

2012

80. V. V. Karachik, B. K. Turmetov, B. T. Torebek, On some integro-differential operators in the class of harmonic functions and their applications, Siberian Advances in Mathematics, 22:2 (2012), 115–134