Positive Solutions of Nonlocal Boundary Value Problem for High-Order Nonlinear Fractional -Difference Equations
We study the nonlinear -difference equations of fractional order , , , , , where is the fractional -derivative of the Riemann-Liouville type of order , , , , and . We obtain the existence and multiplicity results of positive solutions by using some fixed...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/928147 |
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| _version_ | 1850214457174654976 |
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| author | Changlong Yu Jufang Wang |
| author_facet | Changlong Yu Jufang Wang |
| author_sort | Changlong Yu |
| collection | DOAJ |
| description | We study the nonlinear -difference equations of fractional order ,
,
,
,
, where is the fractional -derivative of the Riemann-Liouville type of order ,
,
,
, and . We obtain the existence and multiplicity results of positive solutions by using some fixed point theorems. Finally, we give examples to illustrate the results. |
| format | Article |
| id | doaj-art-85a8f5eb992c4f2faf5a9009d1fc2741 |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-85a8f5eb992c4f2faf5a9009d1fc27412025-08-20T02:08:54ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/928147928147Positive Solutions of Nonlocal Boundary Value Problem for High-Order Nonlinear Fractional -Difference EquationsChanglong Yu0Jufang Wang1College of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, ChinaCollege of Sciences, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, ChinaWe study the nonlinear -difference equations of fractional order , , , , , where is the fractional -derivative of the Riemann-Liouville type of order , , , , and . We obtain the existence and multiplicity results of positive solutions by using some fixed point theorems. Finally, we give examples to illustrate the results.http://dx.doi.org/10.1155/2013/928147 |
| spellingShingle | Changlong Yu Jufang Wang Positive Solutions of Nonlocal Boundary Value Problem for High-Order Nonlinear Fractional -Difference Equations Abstract and Applied Analysis |
| title | Positive Solutions of Nonlocal Boundary Value Problem for High-Order Nonlinear Fractional -Difference Equations |
| title_full | Positive Solutions of Nonlocal Boundary Value Problem for High-Order Nonlinear Fractional -Difference Equations |
| title_fullStr | Positive Solutions of Nonlocal Boundary Value Problem for High-Order Nonlinear Fractional -Difference Equations |
| title_full_unstemmed | Positive Solutions of Nonlocal Boundary Value Problem for High-Order Nonlinear Fractional -Difference Equations |
| title_short | Positive Solutions of Nonlocal Boundary Value Problem for High-Order Nonlinear Fractional -Difference Equations |
| title_sort | positive solutions of nonlocal boundary value problem for high order nonlinear fractional difference equations |
| url | http://dx.doi.org/10.1155/2013/928147 |
| work_keys_str_mv | AT changlongyu positivesolutionsofnonlocalboundaryvalueproblemforhighordernonlinearfractionaldifferenceequations AT jufangwang positivesolutionsofnonlocalboundaryvalueproblemforhighordernonlinearfractionaldifferenceequations |