Oscillation results for a fractional partial differential system with damping and forcing terms
In this paper, we study the forced oscillation of solutions of a fractional partial differential system with damping terms by using the Riemann-Liouville derivative and integral. We obtained some new oscillation results by using the integral averaging technique. The obtained results are illustrated...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023212?viewType=HTML |
| _version_ | 1797950789540380672 |
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| author | A. Palanisamy J. Alzabut V. Muthulakshmi S. S. Santra K. Nonlaopon |
| author_facet | A. Palanisamy J. Alzabut V. Muthulakshmi S. S. Santra K. Nonlaopon |
| author_sort | A. Palanisamy |
| collection | DOAJ |
| description | In this paper, we study the forced oscillation of solutions of a fractional partial differential system with damping terms by using the Riemann-Liouville derivative and integral. We obtained some new oscillation results by using the integral averaging technique. The obtained results are illustrated by using some examples. |
| first_indexed | 2024-04-10T22:20:44Z |
| format | Article |
| id | doaj.art-439510dc33434e0fbb5075237c3b1bac |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T22:20:44Z |
| publishDate | 2023-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-439510dc33434e0fbb5075237c3b1bac2023-01-18T01:48:05ZengAIMS PressAIMS Mathematics2473-69882023-01-01824261427910.3934/math.2023212Oscillation results for a fractional partial differential system with damping and forcing termsA. Palanisamy0J. Alzabut1V. Muthulakshmi 2S. S. Santra3K. Nonlaopon 41. Department of Mathematics, Periyar University, Salem 636 011, Tamil Nadu, India2. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia 3. Department of Industrial Engineering, Ostim Technical University, Ankara 06374, Türkiye1. Department of Mathematics, Periyar University, Salem 636 011, Tamil Nadu, India4. Department of Mathematics, Applied Science Cluster, University of Petroleum and Energy Studies, Dehradun, Uttarakhand 248007, India5. Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandIn this paper, we study the forced oscillation of solutions of a fractional partial differential system with damping terms by using the Riemann-Liouville derivative and integral. We obtained some new oscillation results by using the integral averaging technique. The obtained results are illustrated by using some examples.https://www.aimspress.com/article/doi/10.3934/math.2023212?viewType=HTMLfractional partial differential equationforced oscillationdamping term |
| spellingShingle | A. Palanisamy J. Alzabut V. Muthulakshmi S. S. Santra K. Nonlaopon Oscillation results for a fractional partial differential system with damping and forcing terms AIMS Mathematics fractional partial differential equation forced oscillation damping term |
| title | Oscillation results for a fractional partial differential system with damping and forcing terms |
| title_full | Oscillation results for a fractional partial differential system with damping and forcing terms |
| title_fullStr | Oscillation results for a fractional partial differential system with damping and forcing terms |
| title_full_unstemmed | Oscillation results for a fractional partial differential system with damping and forcing terms |
| title_short | Oscillation results for a fractional partial differential system with damping and forcing terms |
| title_sort | oscillation results for a fractional partial differential system with damping and forcing terms |
| topic | fractional partial differential equation forced oscillation damping term |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023212?viewType=HTML |
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