Open AccessA Generalization of Integral Transform
Author(s) -
Belinda Barnes,
C. Sebil,
A. Quaye
Publication year - 2018
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.v11i4.3330
Subject(s) - mathematics , two sided laplace transform , integral transform , mellin transform , laplace transform , inverse laplace transform , laplace transform applied to differential equations , mathematical analysis , integral equation , generalization , kernel (algebra) , polynomial , domain (mathematical analysis) , integral domain , laplace–stieltjes transform , fractional fourier transform , pure mathematics , fourier transform , fourier analysis , field (mathematics)
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 transformswhich use exponential functions as their kernels and the integral trans-form with polynomial function as a kernel. The generalized integraltransform converts the differential equation in us domain (the trans-formed variables) and reconvert the result by its inverse operator. Inparticular, if u = 1, then the generalized integral transform coincideswith the Laplace transform and this result can be written in anotherform as the polynomial integral transform.