Dualities between Elzaki Transform and Some Useful Integral Transforms
Sudhanshu Aggarwal, Kavita Bhatnagar, Arti Duai2
1Sudhanshu Aggarwal, Assistant Professor, Department of Mathematics, National P.G. College, Barhalganj, Gorakhpur-273402, U.P., India.
2Kavita Bhatnagar, Assistant Professor, Department of Mathematics, Noida Institute of Engineering & Technology, Greater Noida-201306, U.P., India.
3Arti Dua, Assistant Professor, Department of Applied Science & Humanities, I.T.S. Engineering College, Greater Noida-201308, U.P., India.
Manuscript received on September 16, 2019. | Revised Manuscript received on 24 September, 2019. | Manuscript published on October 10, 2019. | PP: 4312-4318 | Volume-8 Issue-12, October 2019. | Retrieval Number: L27291081219/2019©BEIESP | DOI: 10.35940/ijitee.L2729.1081219
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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 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.
Keywords: Laplace, Kamal, Aboodh, Sumudu, Mahgoub (Laplace-Carson), Mohand, Sawi, Elzaki Transforms. AMS Subject Classification 2010, 44A05, 44A10, 44A15.
Scope of the Article: Classification