Oscillatory Behaviour of the Nonlinear Damped Fractional Partial Dynamic Equation
In this paper, a partial dynamic equation of fractional order is considered with Neumann and Dirichlet boundary conditions, and we studied the oscillation properties of the fractional partial dynamic equation on time scales. Riccati transformation technique is used to establish oscillation criteria...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/7010695 |
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| author | R. Ramesh S. Harikrishnan P. Prakash Yong-Ki Ma |
| author_facet | R. Ramesh S. Harikrishnan P. Prakash Yong-Ki Ma |
| author_sort | R. Ramesh |
| collection | DOAJ |
| description | In this paper, a partial dynamic equation of fractional order is considered with Neumann and Dirichlet boundary conditions, and we studied the oscillation properties of the fractional partial dynamic equation on time scales. Riccati transformation technique is used to establish oscillation criteria for the fractional partial dynamic equation. The obtained results are verified with examples. |
| format | Article |
| id | doaj-art-d84c94337fad4d0396f629d90c5dc8e9 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-d84c94337fad4d0396f629d90c5dc8e92025-02-03T06:12:14ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/7010695Oscillatory Behaviour of the Nonlinear Damped Fractional Partial Dynamic EquationR. Ramesh0S. Harikrishnan1P. Prakash2Yong-Ki Ma3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Applied MathematicsIn this paper, a partial dynamic equation of fractional order is considered with Neumann and Dirichlet boundary conditions, and we studied the oscillation properties of the fractional partial dynamic equation on time scales. Riccati transformation technique is used to establish oscillation criteria for the fractional partial dynamic equation. The obtained results are verified with examples.http://dx.doi.org/10.1155/2022/7010695 |
| spellingShingle | R. Ramesh S. Harikrishnan P. Prakash Yong-Ki Ma Oscillatory Behaviour of the Nonlinear Damped Fractional Partial Dynamic Equation Advances in Mathematical Physics |
| title | Oscillatory Behaviour of the Nonlinear Damped Fractional Partial Dynamic Equation |
| title_full | Oscillatory Behaviour of the Nonlinear Damped Fractional Partial Dynamic Equation |
| title_fullStr | Oscillatory Behaviour of the Nonlinear Damped Fractional Partial Dynamic Equation |
| title_full_unstemmed | Oscillatory Behaviour of the Nonlinear Damped Fractional Partial Dynamic Equation |
| title_short | Oscillatory Behaviour of the Nonlinear Damped Fractional Partial Dynamic Equation |
| title_sort | oscillatory behaviour of the nonlinear damped fractional partial dynamic equation |
| url | http://dx.doi.org/10.1155/2022/7010695 |
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