Dualities between Laplace-Carson Transform and Some Useful Integral Transforms
Raman Chauhan1, Nigam Kumar2, Sudhanshu Aggarwal3

1Raman Chauhan, Assistant Professor, Department of Mathematics, Noida Institute of Engineering & Technology, Greater Noida, U.P., India.
2Nigam Kumar, Assistant Professor, Department of Applied Science & Humanities, G.L. Bajaj Institute of Technology & Management, Greater Noida-201306, U.P., India.
3Sudhanshu Aggarwal, 3Assistant Professor, Department of Mathematics, National P.G. College, Barhalganj, Gorakhpur-273402, U.P., India
Manuscript received on September 16, 2019. | Revised Manuscript received on 24 September, 2019. | Manuscript published on October 10, 2019. | PP: 1654-1659 | Volume-8 Issue-12, October 2019. | Retrieval Number: L31631081219/2019©BEIESP | DOI: 10.35940/ijitee.L3163.1081219
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)

Abstract: 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 Laplace-Carson transform and some useful integral transforms namely Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Elzaki transform, Mohand transform and Sawi transform. To visualize the importance of dualities between Laplace-Carson transform and mention integral transforms, we give tabular presentation of the integral transforms (Laplace transform, Kamal transform, Aboodh transform, Sumudu transform, Elzaki 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 Laplace-Carson transform. K
Keywords: Laplace, Kamal, Aboodh, Sumudu, Elzaki, Mohand, Sawi, Laplace-Carson transforms.
Scope of the Article: Integration, and Transformation