Positive Solutions of a Two-Point Boundary Value Problem for Singular Fractional Differential Equations in Banach Space
Joint Authors
Source
Journal of Function Spaces and Applications
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-08-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper investigates the existence of positive solutions to a two-point boundary value problem (BVP) for singular fractional differential equations in Banach space and presents a number of new results.
First, by constructing a novel cone and using the fixed point index theory, a sufficient condition is established for the existence of at least two positive solutions to the approximate problem of the considered singular BVP.
Second, using Ascoli-Arzela theorem, a sufficient condition is obtained for the existence of at least two positive solutions to the considered singular BVP from the convergent subsequence of the approximate problem.
Finally, an illustrative example is given to support the obtained new results.
American Psychological Association (APA)
Liu, Bo& Liu, Yansheng. 2013. Positive Solutions of a Two-Point Boundary Value Problem for Singular Fractional Differential Equations in Banach Space. Journal of Function Spaces and Applications،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-482866
Modern Language Association (MLA)
Liu, Bo& Liu, Yansheng. Positive Solutions of a Two-Point Boundary Value Problem for Singular Fractional Differential Equations in Banach Space. Journal of Function Spaces and Applications No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-482866
American Medical Association (AMA)
Liu, Bo& Liu, Yansheng. Positive Solutions of a Two-Point Boundary Value Problem for Singular Fractional Differential Equations in Banach Space. Journal of Function Spaces and Applications. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-482866
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482866