The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations

The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations

We consider the existence of positive solutions for the nonlinear fractional differential equations boundary value problem -D0+αu(t)=f(t,u(t)),   0<t<1,  u(0)=u'(0)=u'(1)=0, where 2<α≤3 is a real number, D0+α is the Riemann-Liouville fractional derivative of order α, and f is a gi...

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Main Authors: Yanli Chen, Yongxiang Li
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/681513
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spelling doaj-5122235762e44bbd98bd6960e3d401fb2020-11-24T21:33:56ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/681513681513The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential EquationsYanli Chen0Yongxiang Li1Department of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaDepartment of Mathematics, Northwest Normal University, Lanzhou 730070, ChinaWe consider the existence of positive solutions for the nonlinear fractional differential equations boundary value problem -D0+αu(t)=f(t,u(t)),   0<t<1,  u(0)=u'(0)=u'(1)=0, where 2<α≤3 is a real number, D0+α is the Riemann-Liouville fractional derivative of order α, and f is a given continuous function. Our analysis relies on the fixed point index theory in cones.http://dx.doi.org/10.1155/2014/681513
collection DOAJ
language English
format Article
sources DOAJ
author Yanli Chen
Yongxiang Li
spellingShingle Yanli Chen
Yongxiang Li
The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations
Abstract and Applied Analysis
author_facet Yanli Chen
Yongxiang Li
author_sort Yanli Chen
title The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations
title_short The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations
title_full The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations
title_fullStr The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations
title_full_unstemmed The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations
title_sort existence of positive solutions for boundary value problem of nonlinear fractional differential equations
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description We consider the existence of positive solutions for the nonlinear fractional differential equations boundary value problem -D0+αu(t)=f(t,u(t)),   0<t<1,  u(0)=u'(0)=u'(1)=0, where 2<α≤3 is a real number, D0+α is the Riemann-Liouville fractional derivative of order α, and f is a given continuous function. Our analysis relies on the fixed point index theory in cones.
url http://dx.doi.org/10.1155/2014/681513
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AT yanlichen existenceofpositivesolutionsforboundaryvalueproblemofnonlinearfractionaldifferentialequations
AT yongxiangli existenceofpositivesolutionsforboundaryvalueproblemofnonlinearfractionaldifferentialequations
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