Analytical Study for Certain Ordinary Differential Equations with Variable Coefficients via Gα-Transform

Authors

  • Patarawadee Prasertsang
  • Supaknaree Sattaso Department of General Science, Faculty of Science and Engineering, Kasetsart University, Chalermphrakiat Sakon Nakhon Province Campus. https://orcid.org/0000-0003-4621-2503
  • Kamsing Nonlaopon
  • Hwajoon Kim

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i4.4066

Keywords:

Laplace transform, Sumudu transform, Elzaki transform, $G_{\alpha}$-transform, Ordinary differential equation

Abstract

Gα-transform, which is a comprehensive and essential form of Laplace-type integral
transforms, has both advantages and limitations. The purpose of this study is to consider the applicable range of Gα-transform in finding solutions of ordinary differential equations with variable coefficients. Finally, several examples are given to demonstrate the effectiveness of these results.

Author Biography

  • Supaknaree Sattaso, Department of General Science, Faculty of Science and Engineering, Kasetsart University, Chalermphrakiat Sakon Nakhon Province Campus.
    Graduated with a Doctor of Philosophy

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Published

2021-11-10

Issue

Vol. 14 No. 4: (October 2021)

Section

Nonlinear Analysis

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How to Cite

Analytical Study for Certain Ordinary Differential Equations with Variable Coefficients via Gα-Transform. (2021). European Journal of Pure and Applied Mathematics, 14(4), 1184-1199. https://doi.org/10.29020/nybg.ejpam.v14i4.4066