Electron. J. Diff. Equ., Vol. 2015 (2015), No. 138, pp. 1-15.

Variational approach to fractional boundary value problems with two control parameters

Massimiliano Ferrara, Armin Hadjian

This article concerns the multiplicity of solutions for a fractional differential equation with Dirichlet boundary conditions and two control parameters. Using variational methods and three critical point theorems, we give some new criteria to guarantee that the fractional problem has at least three solutions.

Submitted February 18, 2015. Published May 20, 2015.
Math Subject Classifications: 58E05, 26A33, 34A08, 34B15, 45J05, 91A80, 91B55.
Key Words: Fractional differential equations; Caputo fractional derivatives; variational methods; multiple solutions.

Show me the PDF file (266 KB), TEX file, and other files for this article.

Massimiliano Ferrara
Department of Law and Economics
University Mediterranea of Reggio Calabria
Via dei Bianchi, 2-89127 Reggio Calabria, Italy
email: massimiliano.ferrara@unirc.it
Armin Hadjian
Department of Mathematics, Faculty of Basic Sciences
University of Bojnord, P.O. Box 1339
Bojnord 94531, Iran
email: a.hadjian@ub.ac.ir

Return to the EJDE web page