TY  - JOUR
ID  - Heidarkhani2017
LB  - Heidarkhani2017
AU  - Heidarkhani, Shapour
AU  - Ferrara, Massimiliano
AU  - Caristi, Giuseppe
AU  - Salari, Amjad
TI  - Existence of three solutions for impulsive nonlinear fractional boundary value problems
ST  - Existence of three solutions for impulsive nonlinear fractional boundary value problems
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2017
VL  - 37
IS  - 2
SP  - 281
EP  - 301
DO  - http://dx.doi.org/10.7494/OpMath.2017.37.2.281
UR  - http://dx.doi.org/10.7494/OpMath.2017.37.2.281
AB  - In this work we present new criteria on the existence of three solutions for a class of impulsive nonlinear fractional boundary-value problems depending on two parameters. We use variational methods for smooth functionals defined on reflexive Banach spaces in order to achieve our results.
KW  - fractional differential equation
KW  - impulsive condition
KW  - classical solution
KW  - variational methods
KW  - critical point theory
SN  - 1232-9274
ER  -