Opuscula Math. 34, no. 4 (2014), 691-698
http://dx.doi.org/10.7494/OpMath.2014.34.4.691
Opuscula Mathematica
Remarks for one-dimensional fractional equations
Massimiliano Ferrara
Giovanni Molica Bisci
Abstract. In this paper we study a class of one-dimensional Dirichlet boundary value problems involving the Caputo fractional derivatives. The existence of infinitely many solutions for this equations is obtained by exploiting a recent abstract result. Concrete examples of applications are presented.
Keywords: fractional differential equations, Caputo fractional derivatives, variational methods.
Mathematics Subject Classification: 34A08, 26A33, 35A15.
- Massimiliano Ferrara
- University of Reggio Calabria and CRIOS University Bocconi of Milan, Via dei Bianchi presso Palazzo Zani, 89127 Reggio Calabria, Italy
- Giovanni Molica Bisci
- Dipartimento P.A.U., Università degli Studi Mediterranea di Reggio Calabria, Salita Melissari - Feo di Vito, 89124 Reggio Calabria, Italy
- Received: 2014-02-03.
- Revised: 2014-02-27.
- Accepted: 2014-02-28.
