$Infinitely many positive solutions for fractional differential inclusions$

Infinitely many positive solutions for fractional differential inclusions

In this article, we study a class of fractional differential inclusions problem. By nonsmooth variational methods and the theory of the fractional derivative spaces, we establish the existence of infinitely many positive solutions of the problem under suitable oscillatory assumptions on the pote...

Full description

Bibliographic Details
Main Authors:	Ge Bin, Ying-Xin Cui, Ji-Chun Zhang
Format:	Article
Language:	English
Published:	Texas State University 2016-07-01
Series:	Electronic Journal of Differential Equations
Subjects:	Fractional differential inclusions oscillatory nonlinearities infinitely many solutions variational methods nonsmooth critical point theory
Online Access:	http://ejde.math.txstate.edu/Volumes/2016/198/abstr.html

id	doaj-1c400a93af994b019d562374146cf1f2
record_format	Article
spelling	doaj-1c400a93af994b019d562374146cf1f22020-11-24T23:21:10ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-07-012016198,118Infinitely many positive solutions for fractional differential inclusionsGe Bin0Ying-Xin Cui1Ji-Chun Zhang2 Harbin Engineering Univ., Harbin, China Harbin Engineering Univ., Harbin, China Harbin Engineering Univ., Harbin, China In this article, we study a class of fractional differential inclusions problem. By nonsmooth variational methods and the theory of the fractional derivative spaces, we establish the existence of infinitely many positive solutions of the problem under suitable oscillatory assumptions on the potential $F$ at zero or at infinity.http://ejde.math.txstate.edu/Volumes/2016/198/abstr.htmlFractional differential inclusionsoscillatory nonlinearitiesinfinitely many solutionsvariational methodsnonsmooth critical point theory
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ge Bin Ying-Xin Cui Ji-Chun Zhang
spellingShingle	Ge Bin Ying-Xin Cui Ji-Chun Zhang Infinitely many positive solutions for fractional differential inclusions Electronic Journal of Differential Equations Fractional differential inclusions oscillatory nonlinearities infinitely many solutions variational methods nonsmooth critical point theory
author_facet	Ge Bin Ying-Xin Cui Ji-Chun Zhang
author_sort	Ge Bin
title	Infinitely many positive solutions for fractional differential inclusions
title_short	Infinitely many positive solutions for fractional differential inclusions
title_full	Infinitely many positive solutions for fractional differential inclusions
title_fullStr	Infinitely many positive solutions for fractional differential inclusions
title_full_unstemmed	Infinitely many positive solutions for fractional differential inclusions
title_sort	infinitely many positive solutions for fractional differential inclusions
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2016-07-01
description	In this article, we study a class of fractional differential inclusions problem. By nonsmooth variational methods and the theory of the fractional derivative spaces, we establish the existence of infinitely many positive solutions of the problem under suitable oscillatory assumptions on the potential $F$ at zero or at infinity.
topic	Fractional differential inclusions oscillatory nonlinearities infinitely many solutions variational methods nonsmooth critical point theory
url	http://ejde.math.txstate.edu/Volumes/2016/198/abstr.html
work_keys_str_mv	AT gebin infinitelymanypositivesolutionsforfractionaldifferentialinclusions AT yingxincui infinitelymanypositivesolutionsforfractionaldifferentialinclusions AT jichunzhang infinitelymanypositivesolutionsforfractionaldifferentialinclusions
_version_	1725572510939873280

Infinitely many positive solutions for fractional differential inclusions

Similar Items