Forced oscillation of fractional differential equations via conformable derivatives with damping term
Abstract Based on the properties of nonlocal fractional calculus generated by conformable derivatives, we establish some sufficient conditions for oscillation of all solutions for fractional differential equations with damping term. Forced oscillation of conformable differential equations in the fra...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-03-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-019-1162-8 |
| _version_ | 1818954917161730048 |
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| author | Aphirak Aphithana Sotiris K. Ntouyas Jessada Tariboon |
| author_facet | Aphirak Aphithana Sotiris K. Ntouyas Jessada Tariboon |
| author_sort | Aphirak Aphithana |
| collection | DOAJ |
| description | Abstract Based on the properties of nonlocal fractional calculus generated by conformable derivatives, we establish some sufficient conditions for oscillation of all solutions for fractional differential equations with damping term. Forced oscillation of conformable differential equations in the frame of Riemann, as well as of Caputo type, is established. Examples are provided to demonstrate the effectiveness of the main results. |
| first_indexed | 2024-12-20T10:29:47Z |
| format | Article |
| id | doaj.art-24459e76401747b6a7fe675e7e4b95d8 |
| institution | Directory Open Access Journal |
| issn | 1687-2770 |
| language | English |
| last_indexed | 2024-12-20T10:29:47Z |
| publishDate | 2019-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Boundary Value Problems |
| spelling | doaj.art-24459e76401747b6a7fe675e7e4b95d82022-12-21T19:43:45ZengSpringerOpenBoundary Value Problems1687-27702019-03-012019111610.1186/s13661-019-1162-8Forced oscillation of fractional differential equations via conformable derivatives with damping termAphirak Aphithana0Sotiris K. Ntouyas1Jessada Tariboon2Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North BangkokDepartment of Mathematics, University of IoanninaIntelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North BangkokAbstract Based on the properties of nonlocal fractional calculus generated by conformable derivatives, we establish some sufficient conditions for oscillation of all solutions for fractional differential equations with damping term. Forced oscillation of conformable differential equations in the frame of Riemann, as well as of Caputo type, is established. Examples are provided to demonstrate the effectiveness of the main results.http://link.springer.com/article/10.1186/s13661-019-1162-8Forced oscillationOscillation theoryFractional differential equationsFractional conformable integralsFractional conformable derivativesDamping |
| spellingShingle | Aphirak Aphithana Sotiris K. Ntouyas Jessada Tariboon Forced oscillation of fractional differential equations via conformable derivatives with damping term Boundary Value Problems Forced oscillation Oscillation theory Fractional differential equations Fractional conformable integrals Fractional conformable derivatives Damping |
| title | Forced oscillation of fractional differential equations via conformable derivatives with damping term |
| title_full | Forced oscillation of fractional differential equations via conformable derivatives with damping term |
| title_fullStr | Forced oscillation of fractional differential equations via conformable derivatives with damping term |
| title_full_unstemmed | Forced oscillation of fractional differential equations via conformable derivatives with damping term |
| title_short | Forced oscillation of fractional differential equations via conformable derivatives with damping term |
| title_sort | forced oscillation of fractional differential equations via conformable derivatives with damping term |
| topic | Forced oscillation Oscillation theory Fractional differential equations Fractional conformable integrals Fractional conformable derivatives Damping |
| url | http://link.springer.com/article/10.1186/s13661-019-1162-8 |
| work_keys_str_mv | AT aphirakaphithana forcedoscillationoffractionaldifferentialequationsviaconformablederivativeswithdampingterm AT sotiriskntouyas forcedoscillationoffractionaldifferentialequationsviaconformablederivativeswithdampingterm AT jessadatariboon forcedoscillationoffractionaldifferentialequationsviaconformablederivativeswithdampingterm |