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Research Article | Open Access

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

S. S. Santra1,2( ), S. Priyadharshini3, V. Sadhasivam3, J. Kavitha4, U. Fernandez-Gamiz5, S. Noeiaghdam6( ), K. M. Khedher7,8
Department of Mathematics, Applied Science Cluster, University of Petroleum and Energy Studies (UPES), Dehradun, Uttarakhand 248007, India
Department of Mathematics, JIS College of Engineering, Kalyani, Nadia, West Bengal 741235, India
Post Graduate and Research Department of Mathematics, Thiruvalluvar Government Arts College, Rasipuram - 637401, Namakkal Dt. Tamil Nadu, India
Department of Mathematics, Sona College of Technology, Salem, 636005, India
Nuclear Engineering and Fluid Mechanics Department, University of the Basque Country UPV/EHU, Nieves Cano 12, 01006 Vitoria-Gasteiz, Spain
Department of Applied Mathematics and Programming, South Ural State University, Lenin prospect 76, Chelyabinsk, 454080, Russia
Department of Civil Engineering, College of Engineering, King Khalid University, Abha 61421, Saudi Arabia
Department of Civil Engineering, High Institute of Technological Studies, Mrezgua University Campus, Nabeul 8000, Tunisia
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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.

Keywords

oscillationconformable partial differential equationselliptic partial differential equations
CLC number: 34A08, 34A34, 34K11, 35B05, 35R20

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AIMS Mathematics
Volume 8 Issue 6,
June 2023
Pages 12622-12636
DOI: 10.3934/math.2023634

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Santra SS, Priyadharshini S, Sadhasivam V, et al. On the oscillation of certain class of conformable Emden-Fowler type elliptic partial differential equations. AIMS Mathematics, 2023, 8(6): 12622-12636. https://doi.org/10.3934/math.2023634

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Received: 13 September 2022
Revised: 17 January 2023
Accepted: 29 January 2023
Published: 15 June 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)