Open AccessAnalytical Study for Certain Ordinary Differential Equations with Variable Coefficients via Gα-Transform
Author(s) -
Patarawadee Prasertsang,
Supaknaree Sattaso,
Kamsing laopon,
Hwajoon Kim
Publication year - 2021
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v14i4.4066
Subject(s) - mathematics , laplace transform , laplace transform applied to differential equations , ordinary differential equation , variable (mathematics) , mathematical analysis , two sided laplace transform , range (aeronautics) , differential equation , fourier transform , fractional fourier transform , fourier analysis , materials science , composite material
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.