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

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

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