Positive Solutions for Boundary Value Problems of N-Dimension Nonlinear Fractional Differential System
We study the boundary value problem for a kind N-dimension nonlinear fractional differential system with the nonlinear terms involved in the fractional derivative explicitly. The fractional differential operator here is the standard Riemann-Liouville differentiation. By means of fixed point theorems...
| Format: | Article |
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| Language: | English |
| Published: |
SpringerOpen
2009-03-01
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| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/2008/437453 |
| _version_ | 1818147059646070784 |
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| collection | DOAJ |
| description | We study the boundary value problem for a kind N-dimension nonlinear fractional differential system with the nonlinear terms involved in the fractional derivative explicitly. The fractional differential operator here is the standard Riemann-Liouville differentiation. By means of fixed point theorems, the existence and multiplicity results of positive solutions are received. Furthermore, two examples given here illustrate that the results are almost sharp. |
| first_indexed | 2024-12-11T12:29:14Z |
| format | Article |
| id | doaj.art-62da4634a6be41f48ff7893d8d2f9d4f |
| institution | Directory Open Access Journal |
| issn | 1687-2762 1687-2770 |
| language | English |
| last_indexed | 2024-12-11T12:29:14Z |
| publishDate | 2009-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-62da4634a6be41f48ff7893d8d2f9d4f2022-12-22T01:07:16ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-03-01200810.1155/2008/437453Positive Solutions for Boundary Value Problems of N-Dimension Nonlinear Fractional Differential SystemWe study the boundary value problem for a kind N-dimension nonlinear fractional differential system with the nonlinear terms involved in the fractional derivative explicitly. The fractional differential operator here is the standard Riemann-Liouville differentiation. By means of fixed point theorems, the existence and multiplicity results of positive solutions are received. Furthermore, two examples given here illustrate that the results are almost sharp.http://dx.doi.org/10.1155/2008/437453 |
| spellingShingle | Positive Solutions for Boundary Value Problems of N-Dimension Nonlinear Fractional Differential System Boundary Value Problems |
| title | Positive Solutions for Boundary Value Problems of N-Dimension Nonlinear Fractional Differential System |
| title_full | Positive Solutions for Boundary Value Problems of N-Dimension Nonlinear Fractional Differential System |
| title_fullStr | Positive Solutions for Boundary Value Problems of N-Dimension Nonlinear Fractional Differential System |
| title_full_unstemmed | Positive Solutions for Boundary Value Problems of N-Dimension Nonlinear Fractional Differential System |
| title_short | Positive Solutions for Boundary Value Problems of N-Dimension Nonlinear Fractional Differential System |
| title_sort | positive solutions for boundary value problems of n dimension nonlinear fractional differential system |
| url | http://dx.doi.org/10.1155/2008/437453 |