Relationship between Sumudu and Some Efficient Integral Transforms
Rashmi Mishra1, Sudhanshu Aggarwal2, Lokesh Chaudhary3, Anuj Kumar4
1Rashmi Mishra*, Associate Professor, Department of Applied Science & Humanities, G.L. Bajaj Institute of Technology & Management, Greater Noida, U.P., India
2Sudhanshu Aggarwal Assistant Professor, Department of Mathematics, National P.G. College, Barhalganj, Gorakhpur-273402, U.P., India 3Lokesh Chaudhary Assistant Professor, Department of Applied Science & Humanities, G.L. Bajaj Institute of Technology & Management, Greater Noida, U.P., India
4Anuj Kumar Assistant Professor, Department of Applied Science & Humanities, G.L. Bajaj Group of Institutions, Mathura-281406, U.P., India
Manuscript received on December 16, 2019. | Revised Manuscript received on December 22, 2019. | Manuscript published on January 10, 2020. | PP: 153-159 | Volume-9 Issue-3, January 2020. | Retrieval Number: B7489129219/2020©BEIESP | DOI: 10.35940/ijitee.B7489.019320
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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: Nowadays integral transforms are most appropriate techniques for finding the solution of typical problems because these techniques convert them into simpler problems. Finding the solution of initial value problems is the main use of integral transforms. However, there are so many other applications of integral transforms in different areas of mathematics and statistics such as in solving improper integrals of first kind, evaluating the sum of the infinite series, developing the relationship between Beta and Gamma functions, solving renewal equation etc. In this paper, scholars established the relationship between Sumudu and some efficient integral transforms. The application section of this paper has tabular representation of integral transforms of some regularly used functions to demonstrate the physical explanation of relationship between Sumudu and mention integral transforms.
Keywords: Integral Transforms, Sumudu Transform, Laplace transform. AMS Subject Classification 2010, 44A05, 44A10, 44A15.
Scope of the Article: Classification