B. Kh. Turmetov, “Normed systems and their application to the solutions of differential equations of fractional order”, Vestn. Yuzhno-Ural. Gos. Un-ta. Ser. Matem. Mekh. Fiz., 2016, Volume 8, Issue 1,Pages <nobr>28

Mathematics

Normed systems and their application to the solutions of differential equations of fractional order

B. Kh. Turmetov

H. A. Yassawe International Kazakh-Turkish University, Turkistan, Kazakhstan

Abstract: This article describes a method of constructing the normed systems related to the differentiation of fractional order. Using the properties of normed systems the rigor solutions of ordinary differential equations of fractional order are given.

Keywords: normed system; fractional derivative; generalized-homogeneous operator; fundamental solution; inhomogeneous equation.

UDC: 517.962

Received: 06.12.2015

DOI: 10.14529/mmph160104