@article{VYURM_2016_8_1_a3,
author = {B. Kh. Turmetov},
title = {Normed systems and their application to the solutions of differential equations of fractional order},
journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matematika, mehanika, fizika},
pages = {28--33},
year = {2016},
volume = {8},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VYURM_2016_8_1_a3/}
}
TY - JOUR AU - B. Kh. Turmetov TI - Normed systems and their application to the solutions of differential equations of fractional order JO - Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika PY - 2016 SP - 28 EP - 33 VL - 8 IS - 1 UR - http://geodesic.mathdoc.fr/item/VYURM_2016_8_1_a3/ LA - ru ID - VYURM_2016_8_1_a3 ER -
%0 Journal Article %A B. Kh. Turmetov %T Normed systems and their application to the solutions of differential equations of fractional order %J Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika %D 2016 %P 28-33 %V 8 %N 1 %U http://geodesic.mathdoc.fr/item/VYURM_2016_8_1_a3/ %G ru %F VYURM_2016_8_1_a3
B. Kh. Turmetov. Normed systems and their application to the solutions of differential equations of fractional order. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 8 (2016) no. 1, pp. 28-33. http://geodesic.mathdoc.fr/item/VYURM_2016_8_1_a3/
[1] V. V. Karachik, “Normalized system of functions with respect to the Laplace operator and its applications”, Journal of Mathematical Analysis and Application, 287:2 (2003), 577–592 | DOI | MR | Zbl
[2] Karachik V. V., “Method for constructing solutions of linear ordinary differential equations with constant coefficients”, Computational Mathematics and Mathematical Physics, 52:2 (2012), 219–234 | DOI | MR | Zbl
[3] Karachik V. V., Antropova N. A., “On polynomial solutions to the Dirichlet problem for a biharmonic equation in a ball”, Sib. Zh. Ind. Mat., 15:2 (2012), 86–98 (in Russ.) | MR
[4] Karachik V. V., “Solution of the Dirichlet Problem with Polynomial Data for the Polyharmonic Equation in a Ball”, Differential Equations, 51:8 (2015), Article ID 204, 1033–1042 | DOI | DOI | MR | Zbl
[5] 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 | MR
[6] L. Liu, G. B. Ren, “Normalized system for wave and Dunkl operators”, Taiwanese Journal of Mathematics, 14:2 (2007), 675–683 | MR
[7] H. F. Yuan, V. V. Karachik, “Dunkl–Poisson Equation and Related Equations in Superspace”, Mathematical Modelling and Analysis, 20:6 (2015), 768–781 | DOI | MR
[8] Karachik V. V., Method of normed system of functions, Izdatelskiy sentr YurGU Publ., Chelyabinsk, 2014, 452 pp. (in Russ.)
[9] A. Kilbas, H. Srivastava, J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier, Amsterdam, 2006, 523 pp. | MR | Zbl
[10] R. Hilfer, Y. Luchko, Z. Tomovski, “Operational method for the solution of fractional differential equations with generalized Riemann–Liouville fractional derivatives”, Fract. Calc. Appl. Anal., 12:3 (2009), 299–318 | MR | Zbl