Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation
<p/> <p>The method of upper and lower solutions and the Schauder fixed point theorem are used to investigate the existence and uniqueness of a positive solution to a singular boundary value problem for a class of nonlinear fractional differential equations with non-monotone term. Moreove...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2011-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://www.boundaryvalueproblems.com/content/2011/297026 |
| _version_ | 1819118548867350528 |
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| author | Wang Ruifang Wang Shu Wang Changyou Yang Chunde |
| author_facet | Wang Ruifang Wang Shu Wang Changyou Yang Chunde |
| author_sort | Wang Ruifang |
| collection | DOAJ |
| description | <p/> <p>The method of upper and lower solutions and the Schauder fixed point theorem are used to investigate the existence and uniqueness of a positive solution to a singular boundary value problem for a class of nonlinear fractional differential equations with non-monotone term. Moreover, the existence of maximal and minimal solutions for the problem is also given.</p> |
| first_indexed | 2024-12-22T05:50:38Z |
| format | Article |
| id | doaj.art-6cb2612bca6447bdbfa4d68223d55014 |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-22T05:50:38Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-6cb2612bca6447bdbfa4d68223d550142022-12-21T18:36:52ZengSpringerOpenBoundary Value Problems1687-27621687-27702011-01-0120111297026Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential EquationWang RuifangWang ShuWang ChangyouYang Chunde<p/> <p>The method of upper and lower solutions and the Schauder fixed point theorem are used to investigate the existence and uniqueness of a positive solution to a singular boundary value problem for a class of nonlinear fractional differential equations with non-monotone term. Moreover, the existence of maximal and minimal solutions for the problem is also given.</p>http://www.boundaryvalueproblems.com/content/2011/297026 |
| spellingShingle | Wang Ruifang Wang Shu Wang Changyou Yang Chunde Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation Boundary Value Problems |
| title | Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation |
| title_full | Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation |
| title_fullStr | Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation |
| title_full_unstemmed | Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation |
| title_short | Positive Solution of Singular Boundary Value Problem for a Nonlinear Fractional Differential Equation |
| title_sort | positive solution of singular boundary value problem for a nonlinear fractional differential equation |
| url | http://www.boundaryvalueproblems.com/content/2011/297026 |
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