Elzaki Transform Method for Natural Frequency Analysis of Euler-Bernoulli Beams

Ike, Charles Chinwuba; Elzaki, Tarig M.

doi:10.30684/etj.2023.140211.1456

ETJ

2023

DOI: 10.30684/etj.2023.140211.1456

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Elzaki Transform Method for Natural Frequency Analysis of Euler-Bernoulli Beams

Charles Chinwuba Ike

Tarig M. Elzaki

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2024

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Cited by 1 publication

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A Novel Analytical Method for the Exact Solution of the Fractional-Order Biological Population Model

Elzaki,

Mohamed

2024

Acta Mechanica Et Automatica

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In this research, we develop a new analytical technique based on the Elzaki transform (ET) to solve the fractional-order biological population model (FBPM) with initial and boundary conditions (ICs and BCs). This approach can be used to locate both the closed approximate solution and the exact solution of a differential equation. The usefulness and validity of this strategy for managing the solution of FBPM are demonstrated using a few real-world scenarios. The dependability of the suggested strategy is also shown using a table and a few graphs. The approximate solutions that were achieved and the convergence analysis are shown in numerical simulations in a range of fractional orders. From the numerical simulations, it can be seen that the population density increases with increasing fractional order, whereas the population density drops with decreasing fractional order.

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A Novel Analytical Method for the Exact Solution of the Fractional-Order Biological Population Model

Elzaki,

Mohamed

2024

Acta Mechanica Et Automatica

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Elzaki Transform Method for Natural Frequency Analysis of Euler-Bernoulli Beams

Cited by 1 publication

References 21 publications

A Novel Analytical Method for the Exact Solution of the Fractional-Order Biological Population Model

A Novel Analytical Method for the Exact Solution of the Fractional-Order Biological Population Model

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