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Title of Article

THE METHOD FOR SOLVING DIFFERENTIAL FRACTIONAL OSCILLATING EQUATIONS IN MECHANICAL SYSTEM WITH SINGLE DEGREE OF FREEDOM, STRUCTURE AND PROPERTIES OF SOLUTIONS


Issue
4
Date
2011

Article type
scientific article
UDC
539.313:517.968.72
Pages
258-259
Keywords
 


Authors
Ogorodnikov Evgeniy Nikolaevich
Samarskiy gosudarstvennyy tekhnicheskiy universitet

Yashagin Nikolay Sergeevich
Samarskiy gosudarstvennyy tekhnicheskiy universitet


Abstract
The correctness of the Cauchy problems in local (classical) and nonlocal staging for model two linear ordinary second order differential equation with Riemann ? Liouville fractional derivatives is substantiated. The explicit solutions in terms of some special functions related Mittag ? Leffler type function are found. Continuous dependence of these solutions on the fractional parameter is indicated.

File (in Russian)