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

Elisabetta Tornatore, Diego Averna, Elisabetta Tornatore, Stepan Tersian

Risultato della ricerca: Articlepeer review

15 Citazioni (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.
Lingua originaleEnglish
pagine (da-a)253-266
Numero di pagine14
RivistaFRACTIONAL CALCULUS & APPLIED ANALYSIS
Volume19
Stato di pubblicazionePublished - 2016

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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