On the existence and multiplicity of solutions for Dirichlet's problem for fractional differential equations

Elisabetta Tornatore, Diego Averna, Elisabetta Tornatore, Stepan Tersian

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

In this paper, by using variational methods and critical point theorems, we prove the existence and multiplicity of solutions for boundary value problem for fractional order differential equations where Riemann-Liouville fractional derivatives and Caputo fractional derivatives are used. Our results extend the second order boundary value problem to the non integer case. Moreover, some conditions to determinate nonnegative solutions are presented and examples are given to illustrate our results.
Original languageEnglish
Pages (from-to)253-266
Number of pages14
JournalFRACTIONAL CALCULUS & APPLIED ANALYSIS
Volume19
Publication statusPublished - 2016

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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