Title of article
Existence of three solutions for a class of fractional boundary value systems
Author/Authors
Mohseni Kolagar, Samad Department of Mathematics - Faculty of Mathematical Sciences - University of Mazandaran, Babolsar , Afrouzi, Ghasem A Department of Mathematics - Faculty of Mathematical Sciences - University of Mazandaran, Babolsar , Hadjian, Armin Department of Mathematics - Faculty of Basic Sciences - University of Bojnord, Bojnord
Pages
12
From page
351
To page
362
Abstract
In this paper, under appropriate oscillating behaviours of the nonlinear term, we prove some multiplic-
ity results for a class of nonlinear fractional equations. These problems have a variational structure
and we nd three solutions for them by exploiting an abstract result for smooth functionals dened
on a re
exive Banach space. We also give an example to illustrate the obtained result.
Keywords
Riemann-Liouville fractional derivatives , variational methods , three solutions
Journal title
Astroparticle Physics
Serial Year
2016
Record number
2441413
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