| Full list of scientific publications: |
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Citations (Crossref Cited-By Service + Math-Net.Ru) |
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Articles
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| 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 |
| 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
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| 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 |
| 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 
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| 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
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2
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| 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
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| 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
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| 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 
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| 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
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| 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
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| 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
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| 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 
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| 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
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25
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| 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
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| 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
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| 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
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| 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 
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| 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
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| 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
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| 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
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| 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
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| 32. |
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
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| 33. |
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.
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| 34. |
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
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26
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| 35. |
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
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| 36. |
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
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| 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
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| 38. |
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  |
| 39. |
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
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6
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| 40. |
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
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3
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| 41. |
N. Tokmagambetov, B. T. Torebek, “Fractional Sturm-Liouville Equations: self-adjoint extensions”, Complex Analysis and Operator Theory, 13:5 (2019), 2259-2267
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| 42. |
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
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76
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| 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
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17
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| 44. |
B. T. Torebek, “Global Unsolvability of the Burgers Equation with Fractional Time Derivative”, Differential Equations, 55:6 (2019), 867–870  |
| 45. |
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  |
| 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: arXiv:1901.06634
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| 47. |
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
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| 48. |
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
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| 49. |
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 |
| 50. |
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 |
| 51. |
N. Tokmagambetov, B.T. Torebek, “Symmetric differential operators of fractional order and their extensions”, Transactions of the Moscow Mathematical Society, 2018, 177-185 |
| 52. |
N. Tokmagambetov, B. T. Torebek, “Greens formula for integro-differential operators”, Journal of Mathematical Analysis and Applications, 468:1 (2018), 473–479
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| 53. |
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 |
| 54. |
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
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| 55. |
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 |
| 56. |
M. Kirane, B. Kh. Turmetov, B. T. Torebek, “A nonlocal fractional Helmholtz equation”, Fractional Differential Calculus, 7:2 (2017), 225–234
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| 57. |
V. V. Karachik, B. T. Torebek, “On the Dirichlet–Riquier Problem for Biharmonic Equations”, Mathematical Notes, 102:1 (2017), 32-43 |
| 58. |
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
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| 59. |
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
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| 60. |
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 |
| 61. |
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 |
| 62. |
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.
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13
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| 63. |
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
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| 64. |
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
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| 65. |
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. |
| 66. |
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.
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| 67. |
N. Tokmagambetov, B.T. Torebek, “Fractional Analogue of Sturm–Liouville Operator”, Documenta Mathematica, 21 (2016) , 1503-1514 pp.
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| 68. |
Turmetov B.Kh., Torebek B.T., “Modified Bavrin operators and their applications”, Differential Equations, 51:2 (2015), 243-254 |
| 69. |
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
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| 70. |
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 |
| 71. |
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 |
| 72. |
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.
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| 73. |
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. |
| 74. |
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. |
| 75. |
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.
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| 76. |
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. |
| 77. |
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 |
| 78. |
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. |
| 79. |
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 |
Personalia
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| 80. |
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 |
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