Numerical solution of a linear system with a fractional power
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2013), pp. 7-11
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We investigate numerical solutions of linear ordinary and partial differential equations. Cauchy's problem for ordinary equations of first and second order are generalized with fractional power of finite operator. Condition of regularization for the difference operator analogue of a fractional power is represented.
Mots-clés :
fractional calculus
Keywords: numerical method.
Keywords: numerical method.
@article{VKAM_2013_2_a0,
author = {I. A. Ilyin and D. S. Noshchenko and A. S. Perezhogin},
title = {Numerical solution of a linear system with a fractional power},
journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
pages = {7--11},
publisher = {mathdoc},
number = {2},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VKAM_2013_2_a0/}
}
TY - JOUR AU - I. A. Ilyin AU - D. S. Noshchenko AU - A. S. Perezhogin TI - Numerical solution of a linear system with a fractional power JO - Vestnik KRAUNC. Fiziko-matematičeskie nauki PY - 2013 SP - 7 EP - 11 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VKAM_2013_2_a0/ LA - ru ID - VKAM_2013_2_a0 ER -
I. A. Ilyin; D. S. Noshchenko; A. S. Perezhogin. Numerical solution of a linear system with a fractional power. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 2 (2013), pp. 7-11. http://geodesic.mathdoc.fr/item/VKAM_2013_2_a0/