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

Abstract

Gα-transform, which is a comprehensive and essential form of Laplace-type integraltransforms, 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.

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