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

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 nonlin...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2010-06, Vol.59 (11), p.3438-3443
Main Authors: El-Shahed, Moustafa, Nieto, Juan J.
Format: Article
Language:English
Subjects:
Boundary value problem
Boundary value problems
Differential equations
Fixed point theorem
Fractional derivative
Leray–Schauder nonlinear alternative
Mathematical analysis
Mathematical models
Nonlinearity
Nontrivial solution
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Summary: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.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2010.03.031