Setting and Solving of the Cauchy type problems for the Second Order Differential Equations with Riemann–Liouville Fractional Derivatives

The correctness of the Cauchy problems in local (classical) and nonlocal staging for two linear ordinary second order differential equations with Riemann–Liouville fractional derivatives is substantiated. The explicit solutions in terms of some special functions related Mittag–Leffler type function...

Full description

Bibliographic Details
Main Authors: N. S. Yashagin, E. N. Ogorodnikov
Format: Article
Language:English
Published: Samara State Technical University 2010-03-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu771