Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with p-Laplacian Operator
Joint Authors
Yao, Shang-lin
Li, Zhi-ping
Yu, Li-jun
Wang, Guo-hui
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-26
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We investigate the existence of multiple positive solutions for three-point boundary value problem of fractional differential equation with p-Laplacian operator -?tβ(φp(?tαx))(t)=h(t)f(t,x(t)), t∈(0,1), x(0)=0,?tγx(1)=a?tγx(ξ),?tαx(0)=0, where ?tβ,?tα,?tγ are the standard Riemann-Liouville derivatives with 1<α≤2,0<β≤1,0<γ≤1,0≤α−γ−1, ξ∈(0,1) and the constant a is a positive number satisfying aξα-γ-2≤1-γ; p-Laplacian operator is defined as φp(s)=|s|p-2s, p>1.
By applying monotone iterative technique, some sufficient conditions for the existence of multiple positive solutions are established; moreover iterative schemes for approximating these solutions are also obtained, which start off a known simple linear function.
In the end, an example is worked out to illustrate our main results.
American Psychological Association (APA)
Yao, Shang-lin& Wang, Guo-hui& Li, Zhi-ping& Yu, Li-jun. 2013. Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with p-Laplacian Operator. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-467275
Modern Language Association (MLA)
Yao, Shang-lin…[et al.]. Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with p-Laplacian Operator. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-467275
American Medical Association (AMA)
Yao, Shang-lin& Wang, Guo-hui& Li, Zhi-ping& Yu, Li-jun. Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with p-Laplacian Operator. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-467275
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467275