A Generalization of Integral Transform

Benedict Barnes, C. Sebil, A. Quaye

Abstract

In this paper, the generalization of integral transform (GIT) of the func-
tion G{f (t)} is introduced for solving both differential and interodif-
ferential equations. This transform generalizes the integral transforms
which use exponential functions as their kernels and the integral trans-
form with polynomial function as a kernel. The generalized integral
transform converts the differential equation in us domain (the trans-
formed variables) and reconvert the result by its inverse operator. In
particular, if u = 1, then the generalized integral transform coincides
with the Laplace transform and this result can be written in another
form as the polynomial integral transform.

Keywords

generalized integral transform, kernel, differential equation

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