Open AccessDualities between Elzaki Transform and Some Useful Integral Transforms
Author(s) -
Sudhanshu Aggarwal,
Kavita Bhatnagar,
Arti Dua
Publication year - 2019
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.l2729.1081219
Subject(s) - two sided laplace transform , mellin transform , integral transform , laplace transform , hartley transform , s transform , fractional fourier transform , laplace transform applied to differential equations , mathematics , inverse laplace transform , mathematical analysis , fourier transform , computer science , wavelet transform , artificial intelligence , fourier analysis , wavelet packet decomposition , wavelet
Integral transforms have wide applications in the various disciplines of engineering and science to solve the problems of heat transfer, springs, mixing problems, electrical networks, bending of beams, carbon dating problems, Newton’s second law of motion, signal processing, exponential growth and decay problems. In this paper, we will discuss the dualities between Elzaki transform and some useful integral transforms namely Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Mahgoub (Laplace-Carson) transform, Mohand transform and Sawi transform. To visualize the importance of dualities between Elzaki transform and mention integral transforms, we give tabular presentation of the integral transforms (Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Mahgoub transform, Mohand transform and Sawi transform) of mostly used basic functions by using mention dualities relations. Results show that the mention integral transforms are strongly related with Elzaki transform