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INFORMATION AND COMPUTATION TECHNOLOGIES Computation of differential equation with fractional matrix I. A. Ilyin ab ,
D. S. Noshchenko b ,
A. S. Perezhogin ab a Institute of Cosmophysical Researches and Radio Wave Propagation Far-Eastern Branch, Russian Academy of Sciences, 684034, Kamchatskiy Kray, Paratunka, Mirnaya st., 7, Russia b Vitus Bering Kamchatka State University, 683032, Petropavlovsk-Kamchatsky, Pogranichnaya st., 4, Russia Abstract:
Fractional power computation of matrix is represented. Numerical calculations for ordinary differential equation and its fraction analog is done. Results are compared with Grunvald - Letnikov operator.
Keywords:
computation, fractional differential calculus, Grunvald - Letnikov operator.
UDC:
517.3
MSC: 34A08 Received: 07.12.2012
DOI:
10.18454/2079-6641-2012-5-2-62-68
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