A Generalization of Integral Transform

Benedict Barnes, C. Sebil, A. Quaye


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.


generalized integral transform, kernel, differential equation

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