Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value Problem

Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value Problem

We establish the existence and uniqueness of a positive solution for the fractional boundary value problem , with the condition , where , and is a nonnegative continuous function on that may be singular at or .

Bibliographic Details
Main Authors: Habib Mâagli, Noureddine Mhadhebi, Noureddine Zeddini
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/420514
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spelling doaj-d34ae745afda43898982acdd9a6c56002020-11-24T23:47:37ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/420514420514Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value ProblemHabib Mâagli0Noureddine Mhadhebi1Noureddine Zeddini2King Abdulaziz University, Rabigh Campus, College of Sciences and Arts, Department of Mathematics, P.O. Box 344, Rabigh 21911, Saudi ArabiaKing Abdulaziz University, Rabigh Campus, College of Sciences and Arts, Department of Mathematics, P.O. Box 344, Rabigh 21911, Saudi ArabiaKing Abdulaziz University, Rabigh Campus, College of Sciences and Arts, Department of Mathematics, P.O. Box 344, Rabigh 21911, Saudi ArabiaWe establish the existence and uniqueness of a positive solution for the fractional boundary value problem , with the condition , where , and is a nonnegative continuous function on that may be singular at or .http://dx.doi.org/10.1155/2013/420514
collection DOAJ
language English
format Article
sources DOAJ
author Habib Mâagli
Noureddine Mhadhebi
Noureddine Zeddini
spellingShingle Habib Mâagli
Noureddine Mhadhebi
Noureddine Zeddini
Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value Problem
Abstract and Applied Analysis
author_facet Habib Mâagli
Noureddine Mhadhebi
Noureddine Zeddini
author_sort Habib Mâagli
title Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value Problem
title_short Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value Problem
title_full Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value Problem
title_fullStr Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value Problem
title_full_unstemmed Existence and Exact Asymptotic Behavior of Positive Solutions for a Fractional Boundary Value Problem
title_sort existence and exact asymptotic behavior of positive solutions for a fractional boundary value problem
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description We establish the existence and uniqueness of a positive solution for the fractional boundary value problem , with the condition , where , and is a nonnegative continuous function on that may be singular at or .
url http://dx.doi.org/10.1155/2013/420514
work_keys_str_mv AT habibmaagli existenceandexactasymptoticbehaviorofpositivesolutionsforafractionalboundaryvalueproblem
AT noureddinemhadhebi existenceandexactasymptoticbehaviorofpositivesolutionsforafractionalboundaryvalueproblem
AT noureddinezeddini existenceandexactasymptoticbehaviorofpositivesolutionsforafractionalboundaryvalueproblem
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