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https://elib.bsu.by/handle/123456789/195315
Title: | Системы нелинейных дифференциальных уравнений дробного порядка в весовых пространствах непрерывных функций |
Authors: | Марзан, Сергей Андреевич |
Keywords: | ЭБ БГУ::ЕСТЕСТВЕННЫЕ И ТОЧНЫЕ НАУКИ::Математика |
Issue Date: | 2004 |
Publisher: | Минск : БГУ |
Citation: | Вестник Белорусского государственного университета. Сер. 1, Физика. Математика. Информатика. – 2004. - № 1. – С. 63-67. |
Abstract: | A system of nonlinear equations of fractional order containing the Riemann - Liouville fractional derivative, is considered on a finite interval of the real axis in a weighted space of continuous functions. The equivalence of the Cauchy-type problem for such a system and of a system of nonlinear Volterra integral equations is established, and the existence and uniqueness of its solution is proved. The corresponding assertions for a system of ordinary differential equations are presented. |
URI: | http://elib.bsu.by/handle/123456789/195315 |
ISSN: | 0321-0367 |
Licence: | info:eu-repo/semantics/openAccess |
Appears in Collections: | 2004, №1 (январь) |
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