Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model
We study the existence and uniqueness of the positive solution for the fractional differential system involving the Riemann-Stieltjes integral boundary conditions , , , , , and , where , , and and are the standard Riemann-Liouville derivatives, and are functions of bounded variation, and and d...
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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/10.1155/2013/615707 |
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| _version_ | 1832562643721781248 |
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| author | Rui Li Haoqian Zhang Hao Tao |
| author_facet | Rui Li Haoqian Zhang Hao Tao |
| author_sort | Rui Li |
| collection | DOAJ |
| description | We study the existence and uniqueness of the positive solution for the fractional differential system involving the Riemann-Stieltjes integral boundary conditions , , , , , and , where , , and and are the standard Riemann-Liouville derivatives, and are functions of bounded variation, and and denote the Riemann-Stieltjes integral. Our results are based on a generalized fixed point theorem for weakly contractive mappings in partially ordered sets. |
| format | Article |
| id | doaj-art-e4042368db7b4f4da86cd1bf58820440 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e4042368db7b4f4da86cd1bf588204402025-02-03T01:22:09ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/615707615707Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic ModelRui Li0Haoqian Zhang1Hao Tao2Department of Electrical Engineering, North China Electric Power University, Baoding 071003, ChinaDepartment of Management and Economic, North China Electric Power University, Baoding 071003, ChinaSchool of Land Science and Technology, China University of Geosciences, Beijing 100083, ChinaWe study the existence and uniqueness of the positive solution for the fractional differential system involving the Riemann-Stieltjes integral boundary conditions , , , , , and , where , , and and are the standard Riemann-Liouville derivatives, and are functions of bounded variation, and and denote the Riemann-Stieltjes integral. Our results are based on a generalized fixed point theorem for weakly contractive mappings in partially ordered sets.http://dx.doi.org/10.1155/2013/615707 |
| spellingShingle | Rui Li Haoqian Zhang Hao Tao Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model Abstract and Applied Analysis |
| title | Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model |
| title_full | Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model |
| title_fullStr | Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model |
| title_full_unstemmed | Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model |
| title_short | Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model |
| title_sort | unique solution of a coupled fractional differential system involving integral boundary conditions from economic model |
| url | http://dx.doi.org/10.1155/2013/615707 |
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