Oscillation results for a fractional partial differential system with damping and forcing terms

A. Palanisamy; J. Alzabut; V. Muthulakshmi; S. S. Santra; K. Nonlaopon; A. Palanisamy; J. Alzabut; V. Muthulakshmi; S. S. Santra; K. Nonlaopon

doi:10.3934/math.2023212

AIMS Mathematics

2023, Volume 8, Issue 2: 4261-4279. doi: 10.3934/math.2023212

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Research article

Oscillation results for a fractional partial differential system with damping and forcing terms

1.
Department of Mathematics, Periyar University, Salem 636 011, Tamil Nadu, India
2.
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
3.
Department of Industrial Engineering, Ostim Technical University, Ankara 06374, Türkiye
4.
Department of Mathematics, Applied Science Cluster, University of Petroleum and Energy Studies, Dehradun, Uttarakhand 248007, India
5.
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand

Received: 11 September 2022 Revised: 11 November 2022 Accepted: 24 November 2022 Published: 02 December 2022
MSC : 34C10, 34K11, 35B05, 35R11

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.
- fractional partial differential equation,
- forced oscillation,
- damping term
Citation: A. Palanisamy, J. Alzabut, V. Muthulakshmi, S. S. Santra, K. Nonlaopon. Oscillation results for a fractional partial differential system with damping and forcing terms[J]. AIMS Mathematics, 2023, 8(2): 4261-4279. doi: 10.3934/math.2023212

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Abstract

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.

References

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