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Existence and Multiple Positive Solutions for Boundary Value Problem of Fractional Differential Equation with p -Laplacian Operator
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-15
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This paper investigates the existence, multiplicity, nonexistence, and uniqueness of positive solutions to a kind of two-point boundary value problem for nonlinear fractional differential equations with p -Laplacian operator.
By using fixed point techniques combining with partially ordered structure of Banach space, we establish some criteria for existence and uniqueness of positive solution of fractional differential equations with p -Laplacian operator in terms of different value of parameter.
In particular, the dependence of positive solution on the parameter was obtained.
Finally, several illustrative examples are given to support the obtained new results.
The study of illustrative examples shows that the obtained results are applicable.
American Psychological Association (APA)
Jiang, Min& Zhong, Shouming. 2014. Existence and Multiple Positive Solutions for Boundary Value Problem of Fractional Differential Equation with p -Laplacian Operator. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1014132
Modern Language Association (MLA)
Jiang, Min& Zhong, Shouming. Existence and Multiple Positive Solutions for Boundary Value Problem of Fractional Differential Equation with p -Laplacian Operator. Abstract and Applied Analysis No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-1014132
American Medical Association (AMA)
Jiang, Min& Zhong, Shouming. Existence and Multiple Positive Solutions for Boundary Value Problem of Fractional Differential Equation with p -Laplacian Operator. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1014132
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014132