The Neumann problem for the generalized Bagley-Torvik fractional differential equation

被引：0

作者：

Svatoslav Staněk

机构：

[1] Palacký University,Department of Mathematical Analysis, Faculty of Science

来源：

Fractional Calculus and Applied Analysis | 2016年 / 19卷

关键词：

Primary 26A33; 34A08; Secondary 34B15; 33E12; Bagley-Torvik fractional differential equation; Neumann problem; extremal principle; Caputo fractional derivative; existence; multiplicity;

D O I：

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学科分类号：

摘要：

We discuss the existence and multiplicity of solutions to the generalized Bagley-Torvik fractional differential equation u″ = AcDαu + f (t, u, u′) satisfying the Neumann boundary conditions u′ (0) = u′ (T) = 0. The solvability of the problem is proved by the combination of the Leray-Schauder degree method with the extremal principle.

引用

页码：907 / 920

页数：13