On the Oscillatory Behavior of Caputo Fractional 
Nonlinear Damped Extensible Beam Equations

S. Priyadharshini; G. E. Chatzarakis; V. Sadhasivam

doi:https://doi.org/10.14445/22315373/IJMTT-V70I1P102

International Journal of Mathematics Trends and Technology

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Volume 70 | Issue 1 | Year 2024 | Article Id. IJMTT-V70I1P102 | DOI : https://doi.org/10.14445/22315373/IJMTT-V70I1P102

On the Oscillatory Behavior of Caputo Fractional Nonlinear Damped Extensible Beam Equations

S. Priyadharshini, G. E. Chatzarakis, V. Sadhasivam

Received	Revised	Accepted	Published
23 Nov 2023	30 Dec 2023	14 Jan 2024	25 Jan 2024

Abstract

The main objective of this paper is to study the oscillatory behavior of solution of the fractional nonlinear damped extensible beam equations by using the Riccati technique and integral average method. Some new sufficient conditions are established with various boundary conditions over a cylindrical domains. Examples illustrating the results are also given.

Keywords

Beam equations, Nonlinear, Fractional, Oscillation.

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Citation :

S. Priyadharshini, G. E. Chatzarakis, V. Sadhasivam, "On the Oscillatory Behavior of Caputo Fractional Nonlinear Damped Extensible Beam Equations," International Journal of Mathematics Trends and Technology (IJMTT), vol. 70, no. 1, pp. 8-15, 2024. Crossref, https://doi.org/10.14445/22315373/IJMTT-V70I1P102