Title
Ground state solution for differential equations with left and right fractional derivatives
Date Issued
2015
Access level
metadata only access
Resource Type
journal article
Author(s)
Universidad de Chile
Publisher(s)
John Wiley and Sons Ltd
Abstract
In this work, we study the existence of positive solutions for a class of fractional differential equation given by tDαDtαu(t)+u(t)=f(t,u(t)),uεHα(R), where αε(1/2,1),tεR,uεR,fεC(R,R). Using the mountain pass theorem and comparison argument, we prove that (1) at least has one nontrivial solution.
Start page
5063
End page
5073
Volume
38
Issue
18
Language
English
OCDE Knowledge area
Matemáticas puras
Scopus EID
2-s2.0-84955206705
Source
Mathematical Methods in the Applied Sciences
ISSN of the container
01704214
Sources of information: Directorio de Producción Científica Scopus