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

โœ Scribed by Moustafa El-Shahed; Juan J. Nieto

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
267 KB
Volume
59
Category
Article
ISSN
0898-1221

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โœฆ Synopsis

solution a b s t r a c t

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.

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