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
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.
