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ISSN : 1026-3098
e-ISSN : 2345-3605
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Publication Information : Volume 22 - Number 3 - Successive Number 3
Type : Article
Topics of Paper : Transaction on Mechanical Engineering
English Title : Positive solutions for eigenvalue problems of fractional differential equation with p-Laplacian
English Abstract : In this paper, we investigate the existence of positive solutions for the eigenvalue problem of nonlinear fractional differential equation with p-Laplacian operator D 0+(p(D 0+u(t))) = f(u(t)), 0 1, −1 p = q, 1/p + 1/q = 1,  > 0 is a parameter, and f : (0,+1) ! (0,+1) is continuous. By using the properties of the Green function and the Guo–Krasnosel’skii fixed-point theorem on cones, several new existence results of at least one or two positive solutions in terms of different eigenvalue interval are obtained. Moreover, the nonexistence of positive solution in term of the parameter  is also considered.
English Keywords : Fractional boundary value problem; Positive solution; Guo–Krasnosel’skii fixedpoint theorem;  igenvalue; p-Laplacian operator
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Number Of Pages :
From 755 to 764


Authors :
The AuthorAuthor SequenceOrganizationOrganization ( english )AffiliationEmailEducation
Hongling Lu
(Author)
1School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, P R China  lhl4578@126.com 
Prof. Zhenlai Han 2School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, P R China Professorhanzhenlai@163.com 
Prof. Shurong Sun 3School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, P R China Professorsshrong@163.com 
Dr. Chao Zhang 4School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, P R China Associate Professor ss_zhangc@ujn.edu.cn 
Published Issues
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Transactions on Civil Engineering
Transactions on Mechanical Engineering
Transactions on Chemistry and Chemical Engineering
Transactions on Computer Science & Engineering and Electrical Engineering
Transactions on Industrial Engineering
Transactions on Nanotechnology
2014
Transactions on Civil Engineering
Transactions on Mechanical Engineering
Transactions on Chemistry and Chemical Engineering
Transactions on Computer Science & Engineering and Electrical Engineering
Transactions on Industrial Engineering
Transactions on Nanotechnology
2013
Transactions on Civil Engineering
Transactions on Mechanical Engineering
Transactions on Chemistry and Chemical Engineering
Transactions on Computer Science & Engineering and Electrical Engineering
Transactions on Industrial Engineering
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