The Neumann problem for the generalized Bagley-Torvik fractional differential equation-Reference-Cited by-同舟云学术

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

Published:2016-08-01 Issue:4 Volume:19 Page:907-920
ISSN:1311-0454
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Staněk Svatoslav¹

Affiliation:

1. Department of Mathematical Analysis, Faculty of Science Palacký University 17. listopadu 12 – 771 46 Olomouc, Czech Republic

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2016-0049/pdf

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