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dc.contributor.authorHe, J.
dc.contributor.authorZhang, Xinguang
dc.contributor.authorLiu, Lishan
dc.contributor.authorWu, Yong Hong
dc.contributor.authorCui, Y.
dc.date.accessioned2019-02-19T04:15:43Z
dc.date.available2019-02-19T04:15:43Z
dc.date.created2019-02-19T03:58:32Z
dc.date.issued2018
dc.identifier.citationHe, J. and Zhang, X. and Liu, L. and Wu, Y.H. and Cui, Y. 2018. Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions. Boundary Value Problems. 2018 (1): Article ID 189.
dc.identifier.urihttp://hdl.handle.net/20.500.11937/74083
dc.identifier.doi10.1186/s13661-018-1109-5
dc.description.abstract

In this paper, we focus on the existence and asymptotic analysis of positive solutions for a class of singular fractional differential equations subject to nonlocal boundary conditions. By constructing suitable upper and lower solutions and employing Schauder’s fixed point theorem, the conditions for the existence of positive solutions are established and the asymptotic analysis for the obtained solution is carried out. In our work, the nonlinear function involved in the equation not only contains fractional derivatives of unknown functions but also has a stronger singularity at some points of the time and space variables.

dc.publisherSpringerOpen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.titleExistence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions
dc.typeJournal Article
dcterms.source.volume2018
dcterms.source.number1
dcterms.source.issn1687-2762
dcterms.source.titleBoundary Value Problems
curtin.departmentSchool of Electrical Engineering, Computing and Mathematical Science (EECMS)
curtin.accessStatusOpen access


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