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

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.

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  • 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.
Opuscula Mathematica - cover

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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