Sumudu Transform in Bicomplex Space and Its Applications

Sumudu Transform in Bicomplex Space and Its Applications

Year:    2017

Author:    Ritu Agarwal, Mahesh Puri Goswami, Ravi P. Agarwal

Annals of Applied Mathematics, Vol. 33 (2017), Iss. 3 : pp. 239–253

Abstract

In this paper, we define Sumudu transform with convergence conditions in bicomplex space. Also, we derive some of its basic properties and its inverse. Applications of bicomplex Sumudu transform are illustrated to find the solution of differential equation of bicomplex-valued functions and find the solution for Cartesian transverse electric magnetic (TEM) waves in homogeneous space.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2017-AAM-20608

Annals of Applied Mathematics, Vol. 33 (2017), Iss. 3 : pp. 239–253

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    15

Keywords:    Sumudu transform bicomplex numbers bicomplex functions and bicomplex Laplace transform.

Author Details

Ritu Agarwal

Mahesh Puri Goswami

Ravi P. Agarwal