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Nontrivial solutions for a nonlinear multi-point boundary value problem of fractional order
Journal article   Peer reviewed

Nontrivial solutions for a nonlinear multi-point boundary value problem of fractional order

Moustafa El-Shahed and Juan J. Nieto
Computers & mathematics with applications (1987), Vol.59(11), pp.3438-3443
01/06/2010
DOI: https://doi.org/10.1016/j.camwa.2010.03.031

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We investigate the existence of nontrivial solutions for a multi-point boundary value problem for fractional differential equations. Under certain growth conditions on the nonlinearity, several sufficient conditions for the existence of nontrivial solution are obtained by using Leray-Schauder nonlinear alternative. As an application, some examples to illustrate our results are given. (C) 2010 Elsevier Ltd. All rights reserved.

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