Positive Solutions for a System of Fractional Integral Boundary Value Problems Involving Hadamard-Type Fractional Derivatives
In this paper, we use fixed-point index to study the existence of positive solutions for a system of Hadamard fractional integral boundary value problems involving nonnegative nonlinearities. By virtue of integral-type Jensen inequalities, some appropriate concave and convex functions are used to de...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/2671539 |
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| _version_ | 1850163947819237376 |
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| author | Haiyan Zhang Yaohong Li Jiafa Xu |
| author_facet | Haiyan Zhang Yaohong Li Jiafa Xu |
| author_sort | Haiyan Zhang |
| collection | DOAJ |
| description | In this paper, we use fixed-point index to study the existence of positive solutions for a system of Hadamard fractional integral boundary value problems involving nonnegative nonlinearities. By virtue of integral-type Jensen inequalities, some appropriate concave and convex functions are used to depict the coupling behaviors for our nonlinearities fii=1, 2. |
| format | Article |
| id | doaj-art-ef95003a0fdf41c9bb4b56e94433905e |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-ef95003a0fdf41c9bb4b56e94433905e2025-08-20T02:22:05ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/26715392671539Positive Solutions for a System of Fractional Integral Boundary Value Problems Involving Hadamard-Type Fractional DerivativesHaiyan Zhang0Yaohong Li1Jiafa Xu2School of Mathematics and Statistics, Suzhou University, Suzhou, Anhui 234000, ChinaSchool of Mathematics and Statistics, Suzhou University, Suzhou, Anhui 234000, ChinaSchool of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, ChinaIn this paper, we use fixed-point index to study the existence of positive solutions for a system of Hadamard fractional integral boundary value problems involving nonnegative nonlinearities. By virtue of integral-type Jensen inequalities, some appropriate concave and convex functions are used to depict the coupling behaviors for our nonlinearities fii=1, 2.http://dx.doi.org/10.1155/2019/2671539 |
| spellingShingle | Haiyan Zhang Yaohong Li Jiafa Xu Positive Solutions for a System of Fractional Integral Boundary Value Problems Involving Hadamard-Type Fractional Derivatives Complexity |
| title | Positive Solutions for a System of Fractional Integral Boundary Value Problems Involving Hadamard-Type Fractional Derivatives |
| title_full | Positive Solutions for a System of Fractional Integral Boundary Value Problems Involving Hadamard-Type Fractional Derivatives |
| title_fullStr | Positive Solutions for a System of Fractional Integral Boundary Value Problems Involving Hadamard-Type Fractional Derivatives |
| title_full_unstemmed | Positive Solutions for a System of Fractional Integral Boundary Value Problems Involving Hadamard-Type Fractional Derivatives |
| title_short | Positive Solutions for a System of Fractional Integral Boundary Value Problems Involving Hadamard-Type Fractional Derivatives |
| title_sort | positive solutions for a system of fractional integral boundary value problems involving hadamard type fractional derivatives |
| url | http://dx.doi.org/10.1155/2019/2671539 |
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