Massimiliano Ferrara, Armin Hadjian
Abstract:
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.
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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 |
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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 |
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