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Applications of a-Modified Sumudu Transform to Real-Life Problems
Subject area: Science,Engineering and Technology · Area of research: Differential Equations, Transform Method
Abstract
Firstly, the definitions of ?-modified Sumudu transform and its inverse are presented. Next, some properties of ?-modified Sumudu transform are described. Moreover, the existence and uniqueness theorems for ?-modified Sumudu transform are proved by using comparison test and ?-modified Laplace and ?-modified Sumudu duality. And then, ?-modified Sumudu transforms of some elementary functions are discussed. Finally, ?-modified Sumudu transform method is applied to find the solutions of real-life problems.
Keywords
?-modified Sumudu transform, differential equations
References
[1] Belgacem, F. B. M., Karaballi, A. A. and Kalla, L. S., 2003, “Analytical Investigations of the Sumudu Transform and Applications to Integral Production Equations”, Mathematical Problems in Engineering, Vol. 3, pp. 103-118.
[2] Debnath, L. and Bhatta, D., 2006, “Integral Transforms and Their Applications”, second Edition, A Chapman & Hall Book/CRC Press, New York.
[3] Eltayeb, H. and Kilicman, A., 2010, “A Note on the Sumudu Transforms and Differential Equations”, Applied Mathematical Sciences, Vol. 4, No. 22, pp. 1089-1098.
[4] Elzaki, T. M., Ezaki, S. M. and Elnour, E. A., 2012, “Applications of New Transform: Elzaki Transform to Mechanics, Electrical Circuits and Beams Problems”, Global Journal of Mathematical Sciences: Theory and Practical, Vol. 1, No. 1, pp 25-34.
[5] Kilicman, A., Eltayeb, H. and Ismail, M. R., 2012, “A Note on Integral Transforms and Differential Equations”, Malaysian Journal of Mathematical Sciences, Vol. 6, pp. 1-18.
[6] Watugula, G. K., 1993, “Sumudu Transform: A New Integral Transform to Solve Differential Equations and Control Engineering Problems”, International Journal of Mathematical Education in Sciences and Technology, Vol. 24, pp. 35-43.
How to cite this paper
@article{1709419,
author = {San Lynn Aung, Khin Than Sint},
title = {Applications of a-Modified Sumudu Transform to Real-Life Problems},
journal = {Iconic Research And Engineering Journals},
year = {2025},
volume = {8},
number = {12},
pages = {1709-1714},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1709419.pdf},
abstract = {Firstly, the definitions of ?-modified Sumudu transform and its inverse are presented. Next, some properties of ?-modified Sumudu transform are described. Moreover, the existence and uniqueness theorems for ?-modified Sumudu transform are proved by using comparison test and ?-modified Laplace and ?-modified Sumudu duality. And then, ?-modified Sumudu transforms of some elementary functions are discussed. Finally, ?-modified Sumudu transform method is applied to find the solutions of real-life problems. },
keywords = {?-modified Sumudu transform, differential equations},
month = {June},
}