A Generalization of Integral Transform

Authors

  • Benedict Barnes KWAME NKRUMAH UNIVERSITY OF SCIENCE AND TECHNOLOGY
  • C. Sebil
  • A. Quaye

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i4.3330

Keywords:

generalized integral transform, kernel, differential equation

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.

Author Biography

  • Benedict Barnes, KWAME NKRUMAH UNIVERSITY OF SCIENCE AND TECHNOLOGY

    MATHEMATICS DEPARTMENT

    LECTURER

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Published

2018-10-24

Issue

Vol. 11 No. 4: (October 2018)

Section

Game Theory

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How to Cite

A Generalization of Integral Transform. (2018). European Journal of Pure and Applied Mathematics, 11(4), 1130-1142. https://doi.org/10.29020/nybg.ejpam.v11i4.3330