Opuscula Math. 34, no. 4 (2014), 691-698

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.
About the authors ▼
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
About the article ▼
Received: 2014-02-03.
Revised: 2014-02-27.
Accepted: 2014-02-28.
Cite this article as ▼
Massimiliano Ferrara, Giovanni Molica Bisci, Remarks for one-dimensional fractional equations, Opuscula Math. 34, no. 4 (2014), 691-698, http://dx.doi.org/10.7494/OpMath.2014.34.4.691.
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