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, V. 61.:¹. 1 (2016), 104–123
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 Math. J., 58:1 (2017), 153–158
3.
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
V. V. Karachik, A. M. Sarsenbi, B. Kh. Turmetov, “On solvability of the main boundary value problems for a non-local Poisson equation”, Turkish journal of mathematics, 43:3 (2019), 1604 –1625
M. A.Sadybekov, B. Kh. Turmetov, B. T. Torebek, “On an explicit form of the Green function of the third boundary value problem for the Poisson equation in a circle”, AIP Conference Proceedings, 1611 (2014), 255–260
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
7.
M. A. Sadybekov, B. K. Turmetov, “On analogues of periodic boundary value problems for the Laplace operator in a ball”, Eurasian Math. J., 3:1 (2012), 143–146
A. S. Berdyshev, B. Kh. Turmetov, B. J. Kadirkulov, “Some properties and applications of the integrodifferential operators of Hadamard–Marchaud type in the class of harmonic functions”, Siberian Math. J., 53:4 (2012), 600–610
9.
B. K. Turmetov, “On Smoothness of a Solution to a Boundary Value Problem with Fractional Order Boundary Operator”, Siberian Adv. Math., 15:2 (2005), 115–125
10.
V. V. Karachik, B. Kh. Turmetov, “On the Green’s Function for the Third Boundary Value Problem”, Siberian Advances in Mathematics, 29:1 (2019), 32 – 43.
V. V. Karachik, B. Kh. Turmetov, “On the Green's Function\break for the Third Boundary Value Problem for the Poisson Equation”, Siberian Adv. Math., 29:1 (2019), 32–43
12.
V. V. Karachik, B. Kh. Turmetov, “On solvability of some nonlocal boundary value problems for biharmonic equation”, Mathematica Slovaca, 70:2 (2020), 329 – 341
B.kh.Turmetov , R.R.Ashurov, “On Solvability of the Neumann Boundary Value Problem for Non-homogeneous Biharmonic Equation”, British Journal of Mathematics & Computer Science, 2014, no. 4, 557–571
B. Kh. Turmetov, M. Koshanova , K. Usmanov, “About solvability of some boundary value problems for Poisson equation in the ball conditions”, Filomat, 32:3 (2018), 939-946
B. Kh. Turmetov, V. V. Karachik, “On solvability of some boundary value problems for a biharmonic equation with periodic conditions”, Filomat, 32:3 (2018), 947-953
V. V. Karachik, B. Kh. Turmetov,H. Yuan, “Four Boundary Value Problems for a Nonlocal Biharmonic Equation in the Unit Ball”, Mathematics, 10:1158 (2022), 1–21
B. Turmetov,K. Nazarova, “On Fractional Analogs of Dirichlet and Neumann Problems for the Laplace Equation”, Mediterranean Journal of Mathematics, 2019 https://doi.org/10.1007/s00009-019-1347-5
A. E. Bekaeva, V. V. Karachik, B. Kh. Turmetov, “On solvability of some boundary value problems for polyharmonic equation with Hadamard–Marchaud boundary operator”, Russian Math. (Iz. VUZ), 58:7 (2014), 11–24
20.
B. Kh. Turmetov, R. R.Ashurov, “On solvability of the Neumann boundary value problem for a non-homogeneous polyharmonic equation in a ball”, BOUNDARY VALUE PROBLEMS, 2013, no. 162, 1-15
B. Kh. Turmetov , B. J. Kadirkulov, “On a problem for nonlocal mixed-type fractional order equation with degeneration.”, Chaos, Solitons & Fractals., 146:110835 (2021), 1–10
M. A.Muratbekova, K.M.Shinaliyev, B. Kh. Turmetov, “On solvability of a nonlocal problem for the Laplace equation with the fractional-order boundary operator”, BOUNDARY VALUE PROBLEMS, 2014, no. 29, 1-15
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, no. 93, 1-15
K.M.Shinaliyev, B. Kh.Turmetov, S. R.Umarov, “A fractional operator algorithm method for construction of solutions of fractional order differential equations”, FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 15:2 (2012), 267–281
B. Kh. Turmetov, B. J. Kadirkulov, “On the Solvability of an Initial-Boundary Value Problem for a Fractional Heat Equation with Involution”, Lobachevskii Journal of Mathematics, 43:1 (2022), 249–262
B. Kh. Turmetov, V. V. Karachik, M. A.Muratbekova, “On a Boundary Value Problem for the Biharmonic Equation with Multiple Involutions”, Mathematics, 9 (2021), 1–23
B. Kh. Turmetov , B. J. Kadirkulov, “An Inverse Problem for a Parabolic Equation with Involution”, Lobachevskii Journal of Mathematics, 42:12 (2021), 3006–3015
B Kh Turmetov, “On the solvability of some boundary value problems for the inhomogeneous polyharmonic equation with boundary operators of the Hadamard type”, Differential Equations, 53:3 (2017), 333–344
29.
A. S.Berdyshev, A. Cabada, B. Kh.Turmetov, “On solvability of some boundary value problem for polyharmonic equation with boundary operator of a fractional order”, APPLIED MATHEMATICAL MODELLING, 39:15 (2015), 4548–4569
“M.V. 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
B. Kh. Turmetov, “On a boundary value problem for the harmonic equation”, Differ. Equ., 32:8 (1996), 1093–1096
32.
B. Kh. Turmetov, V. V. Karachik, “Solvability of nonlocal Dirichlet problem for generalized Helmholtz equation in a unit ball”, Complex Variables and Elliptic Equations, 2022, 1–15
A. A. Sarsenbi, B. Kh. Turmetov, “Basis property of a system of eigenfunctions of a second-order differential operator with involution”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 29:2 (2019), 183–196
S. Kerbal, B. J. Kadirkulov, B. Kh. Turmetov, “Solvability of a Nonlocal Boundary Value Problem Involving Fractional Derivative Operators”, Mathematical Modelling of Natural Phenomena, 12:3 (2017), 72–81https://doi.org/10.1051/mmnp/201712307
Turmetov B.Kh., “On some boundary value problems for nonhomogenous polyharmonic equation with boundary operators of fractional order”, Acta Mathematica Scientia, 36:3 (2016), 831–846
B.Kh.Turmetov, “On a method for constructing a solution of integro-differential equations of fractional order”, Electronic Journal of Qualitative Theory of Differential Equations, 2018, no. 25, 1–14https://doi.org/10.14232/ejqtde.2018.1.25
B. Kh. Turmetov, B T. Torebek, “On a class of fractional elliptic problems with an involution perturbation”, International Conference on Analysis and Applied Mathematics (ICAAM 2016) (Almaty, Kazakhstan date: 7–10 September 2016), AIP Conference Proceedings, 1759, 2016, 020070 , 6 pp.
M. B. Borikhanov, B. Kh. Turmetov, “On construction of solutions of linear fractional differential equations with constant coefficients”, International Conference on Analysis and Applied Mathematics (ICAAM 2016) (Almaty, Kazakhstan date: 7–10 September 2016), AIP Conference Proceedings, 1759, 2016, 020151 , 6 pp.
M. A.Sadybekov, B. Kh. Turmetov, M. A Muratbekova, “On solvability of some nonlocal boundary value problems with the Hadamard boundary operator”, AIP Conference Proceedings, 1611 (2014), 266–270
B. Turmetov, V. Karachik, “On solvability of some inverse problems for a nonlocal fourth-order
parabolic equation with multiple involution”, AIMS Mathematics, 9:3 (2024), 6832–6849
B. Kh. Turmetov , K. I. Usmanov , K. Zh. Nazarova ., “On the operator method for solving linear integro-differential equations with fractional conformable derivatives”, Fractal and Fractional, 5:3 (2021), 1–21
B. Kh. Turmetov, V. V. Karachik, “On solvability of the Dirichlet and Neumann boundary value problems for the Poisson equation with multiple involution”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 31:4 (2021), 651–667
45.
V. V. Karachik, B. Kh. Turmetov, “Solvability of one nonlocal Dirichlet problem for the Poisson equation”, Novi Sad Journal of Mathematics, 50:1 (2020), 67 – 88
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
M. D. Koshanova, K. I. Usmanov, B. Kh. Turmetov, “About solvability of some boundary value problems for Poisson equation in a ball”, International Conference on Analysis and Applied Mathematics (ICAAM 2016) (Almaty, Kazakhstan date: 7–10 September 2016), AIP Conference Proceedings, 1759, 2016, 020145 (2016) , 5 pp.
B K.Turmetov, K I. Usmanov, “On solvability of exterior boundary value problem with boundary operators of fractional order”, BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 84:4 (2016), 139-145
R. R. Ashurov, B. J. Kadirkulov, B. Kh. Turmetov, “On the inverse problem of the Bitsadze–Samarskii type for a fractional parabolic equation”, Probl. anal. Issues Anal., 12(30):3 (2023), 20–40;
B. Kh. Turmetov, V. V. Karachik, “Neumann boundary condition for a nonlocal biharmonic equation”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 14:2 (2022), 51–58
51.
“K. I. Usmanov, B. Kh. Turmetov, K. Zh. Nazarova”, “On Solvability of a Boundary Value Problem for a Nonlocal Biharmonic Equation with a Fractional Order Boundary Operator”, Lobachevskii Journal of Mathematics, 43:11 (2022), 3298–3309
B Turmetov, A. Ahmedov, I Orazov, “On the solvability of a mixed problem for partial differential equations of parabolic type with involution”, Journal of Physics: Conference Series, 1988, IOP Publishing, 2021, 1–8
B. Kh. Turmetov, V. V. Karachik, “On a Dirichlet problem for a nonlocal polyharmonic equation”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 13:2 (2021), 37–45
54.
K. Zh. Nazarova, B. Kh. Turmetov, K. I. Usmanov, “Ob odnoi nelokalnoi kraevoi zadache s naklonnoi proizvodnoi”, Zhurnal SVMO, 22:1 (2020), 81–-93
V. V. Karachik, S. K. Massanov, B. Kh. Turmetov, “On solvability of some boundary value problems for a biharmonic equation with periodic conditions”, International Conference on Analysis and Applied Mathematics (ICAAM 2016) (Almaty, Kazakhstan date: 7–10 September 2016), AIP Conference Proceedings, 1759, 2016, 020118 , 6 pp.
B. Kh. Turmetov, “On solvability of a boundary value problem for an inhomogeneous polyharmonic equation with a fractional order boundary operator”, Ufa Math. Journal, 8:3 (2016), 155–170
58.
B. Kh.Turmetov, B. T.Torebek,Sh. Ontuganova, “Some problems for fractional analogue of laplace equation”, International Journal of Pure and Applied Mathematics, 94:4 (2014), 525–532
“M Sadybekov,B Turmetov”, “Boundary Value Problems for Differential Equations with a High-Order Derivative in the Boundary Condition”, Trends in Mathematics, 1, Springer, 2024, 187 –194
60.
“M. Muratbekova, V. Karachik, B. Turmetov”, “Bitsadze-Samarsky type problems with double involution”, Bound Value Problms, 2024:86 (2024), 1–21
61.
B. Kh. Turmetov, K. Zh. Nazarov,K. I. Usmanov, “On Some Problems of Bitsadze–Samarsky Ty pefor the Poisson Equation”, Lobachevskii Journal of Mathematics, 45:7 (2024), 3444–3452
62.
B. Turmetov, “On solvability of some boundary-value problems for the non-local Poisson equation with fractional-order boundary operators”, Problemy Analiza — Issues of Analysis, 13:3 (2024), 118–134
63.
"M. Muratbekova, B. Kadirkulov, M. Koshanova, B. Turmetov, “On Solvability of Some Inverse Problems for a Fractional
Parabolic Equation with a Nonlocal Biharmonic Operator”, Fractal and Fractional, 7:404 (2023), 1–18
64.
B. Turmetov, M. Koshanova, M. Muratbekova, “On periodic problems for the nonlocal Poisson equation in the circle”, International Journal of Applied Mathematics, 36:5 (2023), 735–746 doi: http://dx.doi.org/10.12732/ijam.v36i5.11
65.
K I. Usmanov , B. Kh. Turmetov, K. Zh. Nazarova, “On Unique Solvability of a Multipoint Boundary Value Problem for Systems of Integro-Differential Equations with Involution”, Symmetry, 14(8):1262 (2022), 1–15https://doi.org/10.3390/sym14081626
66.
B. Kh. Turmetov, K I. Usmanov , K. Zh. Nazarova, “On the Solvability of Some Boundary Value Problems for the Nonlocal Poisson Equation with Boundary Operators of Fractional Order”, Fractal Fract., 6(6):308 (2022) https://doi.org/10.3390/fractalfract6060308
67.
B. Turmetov, M Koshanova, M Muratbekova, “On periodic boundary value problems with an inclined derivative for a second-order elliptic equation”, AIP Conference Proceedings, 2325 (2021), 1–7
68.
M Koshanova, M Muratbekova,B. Turmetov, “On periodic boundary value problems with an oblique derivative for a second order elliptic equation”, International Journal of Applied Mathematics, 34:2 (2021), 259-271
69.
B. Kh. Turmetov , V. V. Karachik, “On sufficient solvability conditions for Neumann type problems for polyharmonic equation in a ball”, AIP Conference Proceedings, 2365, AIP Publishing LLC, 2021, 1–5https://aip.scitation.org/doi/pdf/10.1063/5.0057206
70.
B. Kh. Turmetov , B. J. Kadirkulov, “An inverse problem for a parabolic equation with involution”, AIP Conference Proceedings, 2365, AIP Publishing LLC, 2021, 1–7
71.
V. V. Karachik, V.V., B. Kh. Turmetov, “On Solvability of Some Boundary Value Problems with Involution for the Biharmonic Equation”, Springer Proceedings in Mathematics and Statisticsthis, 351, Springer, 2021, 75–90
72.
B. Kh. Turmetov , V. V. Karachik, “On eigenfunctions and eigenvalues of a nonlocal Laplace operator with multiple involution”, Symmetry, 13:1781 (2021), 1–20
73.
B. Kh. Turmetov, K. Nazarova, “On a generalization of the Neumann problem for the Laplace equation”, Mathematische Nachrichten, 293:1 (2020), 169 – 177
74.
B. Turmetov,M. Koshanova, M. Muratbekova, “On some analogues of periodic problems for Laplace equation with an oblique derivative under boundary conditions”, e-Journal of Analysis and Applied Mathematics, 2020, no. 1, 13 – 27
75.
K. Zh. Nazarova, B. Kh. Turmetov, K. I. Usmanov, “On the solvability of some boundary value problems with involution”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 26:3 (2020), 7–16
76.
V V. Karachik, B K.Turmetov., “On Green’s function of the Robin problem for the Poisson equation”, Advances in Pure and Applied Mathematics, 10:3 (2019), 203-213https://doi.org/10.1515/apam-2017-0113
A. Ahmedov, B. Turmetov ,S.F. Hj Ahmad Zabidi, “Solving boundary problems for biharmonic operator by using Integro-differential operators of fractional order”, Journal of Physics: Conference Series, 1212:1 (2019), 1 – 9
B. Kh. Turmetov, M. A. Muratbekova, A. A. Ahmedov, “On solvability of some boundary value problems for the non-local polyharmonic equation with boundary operators of the Hadamard Type”, Journal of Physics: Conference Series, 1366 (2019), 012065 , 7 pp. https://iopscience.iop.org/article/10.1088/1742-6596/1366/1/012065/pdf
81.
V. V. Karachik, B. Kh. Turmetov, “On a class of Neumann type problems for polyharmonic equation”, AIP Conference Proceedings, 2172 (2019), “1 – 7”https://doi.org/10.1063/1.5133491
82.
B. Kh. Turmetov, R. N. Shamsiev, “On a boundary problem for a nonlocal Poisson equation with boundary operators of the Hadamard type”, AIP Conference Proceedings, 2183 (2019), 070027-1-070027-4.https://doi.org /10.1063 /1.5136189.
83.
B. Kh. Turmetov, “Green function for analogue of Robin problem for polyharmonic equation”, Ufa Math. J., 11:3 (2019), 78–87
84.
B. Kh. Turmetov, “On Green’s function of certain boundary-value problems for the biharmonic equation”, AIP Conference Proceedings, 1997 (2018), 020056-1–020056-5
85.
B. Kh. Turmetov , K. Dz. Nazarova, “On One Generalization of the Neumann Problem for the Laplace Equation”, AIP Conference Proceedings, 1997 (2018), 020053-1–020053-6
86.
B.Kh.Turmetov, “Construction of explicit solutions of fractional integral-differential equations of Volterra type”, AIP Conference Proceedings, 1880 (2017), 050013-1–050013-6
87.
V. V.Karachik, B.Kh.Turmetov, “On solvability of some Neumann-type boundary value problems for biharmonic equation”, Electronic Journal of Differential Equations, 2017:No 218 (2017), 1–17
88.
B. Turmetov , J. Abdullaev, “Analytic Solutions of Fractional Integro-Differential Equations of Volterra Type”, IOP Conf. Series: Journal of Physics:, 890 (2017), 012113
89.
Turmetov B.Kh., “Operator Method for Constructing a Solution of a Class of Linear Differential Equations of Fractional Order”, “Functional Analysis in Interdisciplinary Applications. FAIA 2017”. Springer Proceedings in Mathematics & Statistics, 216, eds. Kalmenov T.S., Nursultanov E.D., Ruzhansky M.V., Sadybekov M.A., Springer, 2017, 179–193
90.
R.R.Ashurov, A.Cabada, B.Kh.Turmetov, “Operator method for construction of solutions of linear fractional differential equations with constant coefficients”, Fractional Calculus and Applied Analysis, 19:1 (2016), 229 –251
91.
B. Kh. Turmetov, “Normed systems and their application to the solutions of differential equations of fractional order”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 8:1 (2016), 28–33
92.
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, no. 25, 1–14
93.
B. Kh. Turmetov, M. D. Koshanova, K. I. Usmanov., “About solvability of some boundary value problems for Poisson equation with Hadamard type boundary operator”, Electronic Journal of Differential Equations, 2016 (2016), 1-12
94.
M. Kirane, B. Kh. Turmetov, B. T. Torebek, A nonlocal fractional Helmholtz equation, 2016 , 10 pp., arXiv: https://arxiv.org/abs/1608.02135
95.
B. Kh. Turmetov,V. V. Karachik, “About one boundary value problem for the biharmonic equation”, AIP Conference Proceedings, 1789 (2016), 040015-1–040015-6
96.
B. Kh. Turmetov, “On an exterior boundary value problem for the Laplace equation with boundary operator of fractional order”, AIP Conference Proceedings, 1789 (2016), 040014-1–040014http://dx.doi.org/10.1063/1.4968467
97.
B. Kh. Turmetov, “Solvability of fractional analogues of the Neumann problem for a nonhomogeneous biharmonic equation”, Electronic Journal of Differential Equations, 2015:No. 82. (2015), 1–21.
98.
B. T. Torebek, B. Kh. Turmetov, “On solvability of exterior boundary value problem with fractional boundary condition”, AIP Conference Proceedings, 1676 (2015), 020096-1-020096-5
99.
B. Kh.Turmetov, A.M.Myrzahasova, “On solvability of fractional analogues of the Neumann problem for biharmonic equation”, BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 79:3 (2015), 87-95
100.
“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, V 20 (2014), 1237–1251'
101.
A. S. Berdyshev , A. Cabada ,B. Kh. Turmetov, “On solvability of a boundary value problem for a nonhomogeneous biharmonic equation with a boundary operator of a fractional order”, Acta Mathematica Scientia., 34B(6). (2014), 1695–1706
102.
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), 1-15
103.
M. A.Sadybekov, B. Kh.Turmetov, “OB ODNOM ANALOGE PERIODIChESKIKh KRAEVYKh ZADACh DLYa URAVNENIYa PUASSONA V KRUGE.”, DIFFERENTsIALNYE URAVNENIYa, 50:2 (2014), 264–268
104.
B. Kh. Turmetov, K. M. Shinaliyev, “On a method for constructing solutions of differential equations of fractional order with a Hadamard type operator”, International Journal of Pure and Applied Mathematics, 84:4 (2013), 435–450
105.
V. V.Karachik,B. Kh. Turmetov,A. E.Bekaeva, “Solvability conditions of the neumann boundary value problem for the biharmonic equation in the unit ball”, International Journal of Pure and Applied Mathematics, 81:3 (2012), 487–495
106.
B. K. Turmetov, B. T. Torebek, “An analogue of the third boundary value problem with boundary operator of fractional order”, Zhurnal SVMO, 12:3 (2010), 135–145
107.
B. Kh. Turmetov, “On the smoothness of the solution of a boundary value problem in generalized Nikol'skiǐ classes”, Differ. Equ., 32:10 (1996), 1418–1423
108.
B. Kh. Turmetov, S. R. Umarov, “On a boundary value problem for an equation with a fractional derivative”, Dokl. Math., 48:3 (1994), 579–582
109.
B. Kh. Turmetov, B. J. Kadirkulov, “On the solvability of some boundary-value problems for the fractional analog of the nonlocal Laplace equation”, Geometry, Mechanics, and Differential Equations, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 211, VINITI, Moscow, 2022, 14–28