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A reliable hybrid numerical method for a time dependent vibration model of arbitrary order

1 Department of Mathematics, National Institute of Technology, Kurukshetra-136119, India
2 Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura-281406, India
3 Department of Mathematics and Science Education, Harran University, Sanliurfa, Turkey

Special Issues: Recent Advances in Fractional Calculus with Real World Applications

In this article, the solution of vibration equation of fractional order is found numerically for the large membranes using a powerful technique namely q-homotopy analysis Sumudu transform technique. The parameter ħ suggests a convenient way to control convergence region. The given numerical examples depict competency and accuracy of this scheme. The results are discussed using figures taking diverse wave velocities and initial conditions. Results are also compared with other methods. The outcome divulges that q-HASTM is highly reliable, more efficient, attractive, easier to use as well as highly effective.
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© 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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