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ELISABETTA TORNATORE

Multiple Solutions for Fractional Boundary Value Problems

  • Authors: Averna, Diego; O’Regan, Donal; Tornatore, Elisabetta*
  • Publication year: 2018
  • Type: Articolo in rivista (Articolo in rivista)
  • Key words: Critical point theorem; Fractional differential equations; Multiple solutions; Variational methods; Mathematics (all)
  • OA Link: http://hdl.handle.net/10447/331826

Abstract

Variational methods and critical point theorems are used to discuss existence and multiplicity of solutions for fractional boundary value problem where Riemann–Liouville fractional derivatives and Caputo fractional derivatives are used. Some conditions to determinate nonnegative solutions are presented. An example is given to illustrate our results.