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

Authors:
Moustafa El-Shahed;Juan J. Nieto
Affiliations:
College of Education, P.O.Box 3771, Qasssim University-Unizah, Saudi Arabia and Departamento de Analisis Matematico, Facultad de Matematicas, Universidad de Santiago de Compostela, 15782 Santiago ...;College of Education, P.O.Box 3771, Qasssim University-Unizah, Saudi Arabia and Departamento de Analisis Matematico, Facultad de Matematicas, Universidad de Santiago de Compostela, 15782 Santiago ...
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 4
Cited 4

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Abstract

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.