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

Patarawadee Prasertsang, Supaknaree Sattaso, Kamsing Nonlaopon, Hwajoon Kim

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.

Keywords

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

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