On the oscillation of certain class of conformable Emden-Fowler type elliptic partial differential equations

S. S. Santra; S. Priyadharshini; V. Sadhasivam; J. Kavitha; U. Fernandez-Gamiz; S. Noeiaghdam; K. M. Khedher; S. S. Santra; S. Priyadharshini; V. Sadhasivam; J. Kavitha; U. Fernandez-Gamiz; S. Noeiaghdam; K. M. Khedher

doi:10.3934/math.2023634

AIMS Mathematics

2023, Volume 8, Issue 6: 12622-12636. doi: 10.3934/math.2023634

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On the oscillation of certain class of conformable Emden-Fowler type elliptic partial differential equations

1.
Department of Mathematics, Applied Science Cluster, University of Petroleum and Energy Studies (UPES), Dehradun, Uttarakhand 248007, India
2.
Department of Mathematics, JIS College of Engineering, Kalyani, Nadia, West Bengal 741235, India
3.
Post Graduate and Research Department of Mathematics, Thiruvalluvar Government Arts College, Rasipuram - 637401, Namakkal Dt. Tamil Nadu, India
4.
Department of Mathematics, Sona College of Technology, Salem, 636005, India
5.
Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country UPV/EHU, Nieves Cano 12, 01006 Vitoria-Gasteiz, Spain
6.
Department of Applied Mathematics and Programming, South Ural State University, Lenin prospect 76, Chelyabinsk, 454080, Russia
7.
Department of Civil Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia
8.
Department of Civil Engineering, High Institute of Technological Studies, Mrezgua University Campus, Nabeul 8000, Tunisia

Received: 13 September 2022 Revised: 17 January 2023 Accepted: 29 January 2023 Published: 28 March 2023
MSC : 34A08, 34A34, 34K11, 35B05, 35R20

This article examines the oscillatory behaviour of solutions to a particular class of conformable elliptic partial differential equations of the Emden-Fowler type. Using the Riccati method, we create some new necessary conditions for the oscillation of all solutions. The previously discovered conclusions for the integer order equations are expanded upon by these additional findings. We provide an example to demonstrate the usefulness of our new finding.
- oscillation,
- conformable partial differential equations,
- elliptic partial differential equations
Citation: S. S. Santra, S. Priyadharshini, V. Sadhasivam, J. Kavitha, U. Fernandez-Gamiz, S. Noeiaghdam, K. M. Khedher. On the oscillation of certain class of conformable Emden-Fowler type elliptic partial differential equations[J]. AIMS Mathematics, 2023, 8(6): 12622-12636. doi: 10.3934/math.2023634

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Abstract

This article examines the oscillatory behaviour of solutions to a particular class of conformable elliptic partial differential equations of the Emden-Fowler type. Using the Riccati method, we create some new necessary conditions for the oscillation of all solutions. The previously discovered conclusions for the integer order equations are expanded upon by these additional findings. We provide an example to demonstrate the usefulness of our new finding.

References

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