Nontrivial Solution of Fractional Differential System Involving Riemann-Stieltjes Integral Condition
We study the existence and uniqueness of nontrivial solutions for a class of fractional differential system involving the Riemann-Stieltjes integral condition, by using the Leray-Schauder nonlinear alternative and the Banach contraction mapping principle, some sufficient conditions of the existence...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/719192 |
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| _version_ | 1832558960485335040 |
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| author | Ge-Feng Yang |
| author_facet | Ge-Feng Yang |
| author_sort | Ge-Feng Yang |
| collection | DOAJ |
| description | We study the existence and uniqueness of nontrivial solutions for a class of fractional
differential system involving the Riemann-Stieltjes integral condition, by using the Leray-Schauder nonlinear alternative and the Banach contraction mapping principle, some sufficient conditions of the existence and uniqueness of a nontrivial solution of a system are obtained. |
| format | Article |
| id | doaj-art-cbe47fea3d2c42fb851abf7b98d1dfe5 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-cbe47fea3d2c42fb851abf7b98d1dfe52025-02-03T01:31:11ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/719192719192Nontrivial Solution of Fractional Differential System Involving Riemann-Stieltjes Integral ConditionGe-Feng Yang0Cisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou 510006, ChinaWe study the existence and uniqueness of nontrivial solutions for a class of fractional differential system involving the Riemann-Stieltjes integral condition, by using the Leray-Schauder nonlinear alternative and the Banach contraction mapping principle, some sufficient conditions of the existence and uniqueness of a nontrivial solution of a system are obtained.http://dx.doi.org/10.1155/2012/719192 |
| spellingShingle | Ge-Feng Yang Nontrivial Solution of Fractional Differential System Involving Riemann-Stieltjes Integral Condition Abstract and Applied Analysis |
| title | Nontrivial Solution of Fractional Differential System Involving Riemann-Stieltjes Integral Condition |
| title_full | Nontrivial Solution of Fractional Differential System Involving Riemann-Stieltjes Integral Condition |
| title_fullStr | Nontrivial Solution of Fractional Differential System Involving Riemann-Stieltjes Integral Condition |
| title_full_unstemmed | Nontrivial Solution of Fractional Differential System Involving Riemann-Stieltjes Integral Condition |
| title_short | Nontrivial Solution of Fractional Differential System Involving Riemann-Stieltjes Integral Condition |
| title_sort | nontrivial solution of fractional differential system involving riemann stieltjes integral condition |
| url | http://dx.doi.org/10.1155/2012/719192 |
| work_keys_str_mv | AT gefengyang nontrivialsolutionoffractionaldifferentialsysteminvolvingriemannstieltjesintegralcondition |