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

Priyadharshini SundaravadivelPG and Research Department of Mathematics, Thiruvalluvar Government Arts College, Rasipuram - 637 401, Affiliated to Periyar University, Salem, Tamil Nadu, IndiaSadhasivam VadivelPG and Research Department of Mathematics, Thiruvalluvar Government Arts College, Rasipuram - 637 401, Affiliated to Periyar University, Salem, Tamil Nadu, IndiaViswanathan Kodakkal KannanDepartment of Mathematical Modeling, Faculty of Mathematics, Samarkand State University, University Boulevard 15, Samarkand, 140104, UzbekistanSankar Duraisamy SambasivamSchool of Applied Sciences and Mathematics, Universiti Teknologi Brunei, Jalan Tungku Link, Gadong BE 1410, Brunei Darussalam
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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.

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