Open AccessRelationship between Sumudu and Some Efficient Integral Transforms
Author(s) -
Rashmi Mishra*,
Sudhanshu Aggarwal,
Lokesh Chaudhary,
Anuj Kumar
Publication year - 2020
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.b7489.019320
Subject(s) - mathematics , integral transform , integral equation , representation (politics) , daniell integral , line integral , series (stratigraphy) , volume integral , mathematical analysis , calculus (dental) , fourier integral operator , medicine , paleontology , dentistry , politics , political science , law , biology
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.