Picone Identities of a Certain Class of Conformable Half Linear Anisotropic Biharmonic Equations

Main aim of this article, we derive sufficient conditions of new results for Picone identities for a certain class of conformable half-linear anisotropic biharmonic equations. We derive a Strumiancomparison theorem and oscillation results. Furthermore, the oscillation results are different from the most known ones in the sense that they are based on the information for radial solutions. This paper's expand upon and broaden a few of the previously established results for conformable half-linear anisotropic biharmonic equations. If and then conformable half-linear anisotropic biharmonic equations (4) become the classical biharmonic equation. These novel outcomes add to the body of knowledge already available in the classical example. To illustrate the usefulness of our new results, we give an example.

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Publication Details

Journal
Malaysian Journal of Fundamental and Applied Sciences
Published
2025-02-21
DOI
https://doi.org/10.11113/mjfas.v21n1.3549
Primary Topic
Differential Equations and Boundary Problems
Type
article
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article

Picone Identities of a Certain Class of Conformable Half Linear Anisotropic Biharmonic Equations

Sankar Duraisamy Sambasivam, S. Vadivel, K. K. Viswanathan, Priyadharshini Sundaravadivel
1 links
Malaysian Journal of Fundamental and Applied Sciences
Differential Equations and Boundary Problems
article

Picone Identities of a Certain Class of Conformable Half Linear Anisotropic Biharmonic Equations

Sankar Duraisamy Sambasivam, S. Vadivel, K. K. Viswanathan, Priyadharshini Sundaravadivel
article en

Abstract

Main aim of this article, we derive sufficient conditions of new results for Picone identities for a certain class of conformable half-linear anisotropic biharmonic equations. We derive a Strumiancomparison theorem and oscillation results. Furthermore, the oscillation results are different from the most known ones in the sense that they are based on the information for radial solutions. This paper's expand upon and broaden a few of the previously established results for conformable half-linear anisotropic biharmonic equations. If and then conformable half-linear anisotropic biharmonic equations (4) become the classical biharmonic equation. These novel outcomes add to the body of knowledge already available in the classical example. To illustrate the usefulness of our new results, we give an example.

Malaysian Journal of Fundamental and Applied SciencesVol. 21(1)
Thiruvalluvar University (IN), Samarkand State University named after Sharof Rashidov (UZ), Periyar University (IN), Universiti Teknologi Brunei (BN)
Openalex Percentile: Top 95%
Differential Equations and Boundary Problems
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