Existence and Uniqueness of Positive Solution for a Boundary Value Problem of Fractional Order
Joint Authors
Harjani, J.
Caballero, J.
Sadarangani, Kishin B.
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-09
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We are concerned with the existence and uniqueness of positive solutions for the following nonlinear fractional boundary value problem: D0+αu(t)+f(t,u(t))=0, 0≤t≤1, 3<α≤4, u(0)=u′(0)=u″(0)=u″(1)=0, where D0+α denotes the standard Riemann-Liouville fractional derivative.
Our analysis relies on a fixed point theorem in partially ordered sets.
Some examples are also given to illustrate the results.
American Psychological Association (APA)
Caballero, J.& Harjani, J.& Sadarangani, Kishin B.. 2011. Existence and Uniqueness of Positive Solution for a Boundary Value Problem of Fractional Order. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-451130
Modern Language Association (MLA)
Caballero, J.…[et al.]. Existence and Uniqueness of Positive Solution for a Boundary Value Problem of Fractional Order. Abstract and Applied Analysis No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-451130
American Medical Association (AMA)
Caballero, J.& Harjani, J.& Sadarangani, Kishin B.. Existence and Uniqueness of Positive Solution for a Boundary Value Problem of Fractional Order. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-451130
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451130
