Existence and Global Asymptotic Behavior of Positive Solutions for Nonlinear Fractional Dirichlet Problems on the Half-Line
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-16
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We are interested in the following fractional boundary value problem: Dαu(t)+atuσ=0, t∈(0,∞), limt→0t2-αu(t)=0, limt→∞t1-αu(t)=0, where 1<α<2, σ∈(-1,1), Dα is the standard Riemann-Liouville fractional derivative, and a is a nonnegative continuous function on (0,∞) satisfying some appropriate assumptions related to Karamata regular variation theory.
Using the Schauder fixed point theorem, we prove the existence and the uniqueness of a positive solution.
We also give a global behavior of such solution.
American Psychological Association (APA)
Bachar, Imed& Mâagli, Habib. 2014. Existence and Global Asymptotic Behavior of Positive Solutions for Nonlinear Fractional Dirichlet Problems on the Half-Line. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014188
Modern Language Association (MLA)
Bachar, Imed& Mâagli, Habib. Existence and Global Asymptotic Behavior of Positive Solutions for Nonlinear Fractional Dirichlet Problems on the Half-Line. Abstract and Applied Analysis No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-1014188
American Medical Association (AMA)
Bachar, Imed& Mâagli, Habib. Existence and Global Asymptotic Behavior of Positive Solutions for Nonlinear Fractional Dirichlet Problems on the Half-Line. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-1014188
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014188