Oscillation of a Class of Fractional Differential Equations with Damping Term
We investigate the oscillation of a class of fractional differential equations with damping term. Based on a certain variable transformation, the fractional differential equations are converted into another differential equations of integer order with respect to the new variable. Then, using Riccat...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/685621 |
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| _version_ | 1832558268816293888 |
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| author | Huizeng Qin Bin Zheng |
| author_facet | Huizeng Qin Bin Zheng |
| author_sort | Huizeng Qin |
| collection | DOAJ |
| description | We investigate the oscillation of a class of fractional differential equations with damping term.
Based on a certain variable transformation, the fractional differential equations are converted into another
differential equations of integer order with respect to the new variable. Then, using Riccati transformation,
inequality, and integration average technique, some new oscillatory criteria for the equations are established.
As for applications, oscillation for two certain fractional differential equations with damping term is investigated by the use of the presented results. |
| format | Article |
| id | doaj-art-b8d6b128f38e478395458e141817864c |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-b8d6b128f38e478395458e141817864c2025-02-03T01:32:49ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/685621685621Oscillation of a Class of Fractional Differential Equations with Damping TermHuizeng Qin0Bin Zheng1School of Science, Shandong University of Technology, Zibo, Shandong 255049, ChinaSchool of Science, Shandong University of Technology, Zibo, Shandong 255049, ChinaWe investigate the oscillation of a class of fractional differential equations with damping term. Based on a certain variable transformation, the fractional differential equations are converted into another differential equations of integer order with respect to the new variable. Then, using Riccati transformation, inequality, and integration average technique, some new oscillatory criteria for the equations are established. As for applications, oscillation for two certain fractional differential equations with damping term is investigated by the use of the presented results.http://dx.doi.org/10.1155/2013/685621 |
| spellingShingle | Huizeng Qin Bin Zheng Oscillation of a Class of Fractional Differential Equations with Damping Term The Scientific World Journal |
| title | Oscillation of a Class of Fractional Differential Equations with Damping Term |
| title_full | Oscillation of a Class of Fractional Differential Equations with Damping Term |
| title_fullStr | Oscillation of a Class of Fractional Differential Equations with Damping Term |
| title_full_unstemmed | Oscillation of a Class of Fractional Differential Equations with Damping Term |
| title_short | Oscillation of a Class of Fractional Differential Equations with Damping Term |
| title_sort | oscillation of a class of fractional differential equations with damping term |
| url | http://dx.doi.org/10.1155/2013/685621 |
| work_keys_str_mv | AT huizengqin oscillationofaclassoffractionaldifferentialequationswithdampingterm AT binzheng oscillationofaclassoffractionaldifferentialequationswithdampingterm |