Open AccessDualities between Some Useful Integral Transforms and Sawi Transform
Author(s) -
Sudhanshu Aggarwal,
Anjana Gupta
Publication year - 2019
Publication title -
international journal of recent technology and engineering
Language(s) - English
Resource type - Journals
ISSN - 2277-3878
DOI - 10.35940/ijrte.c5870.098319
Subject(s) - two sided laplace transform , mellin transform , integral transform , laplace transform , hartley transform , s transform , laplace transform applied to differential equations , fractional fourier transform , mathematics , inverse laplace transform , mathematical analysis , fourier transform , computer science , wavelet transform , artificial intelligence , fourier analysis , wavelet packet decomposition , wavelet
Integral transforms have a number of applications in the different fields of engineering and science to solve the problems of Newton’s law of cooling, signal processing, electrical networks, bending of beams, springs, mixing problems, carbon dating problems exponential growth and decay problems. In this paper, we will discuss the dualities of some useful integral transforms namely Laplace transform, Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub (Laplace-Carson) transform and Mohand transform with Sawi transform. To visualize the importance of dualities between mention integral transforms with Sawi transform, we give tabular presentation of the integral transforms (Laplace transform, Kamal transform, Elzaki transform, Aboodh transform, Sumudu transform, Mahgoub transform and Mohand transform) of mostly used basic functions by using mention dualities relations. Results show that the mention integral transforms are strongly related to each others