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Integral transform introduced in 1990
The Sumudu transform is an
integral transform introduced in 1990 by G K Watagala.
[1]
[2]
[3] It is defined as the set as
[4]
[5]
[6]
where
and the Sumudu transform is defined as
Relationship with other transforms
Sumudu transform is 1/u
Laplace transform
And with u2 Elzaki transform
References
-
^ Watugala, G. K. (January 1993).
"Sumudu transform: a new integral transform to solve differential equations and control engineering problems". International Journal of Mathematical Education in Science and Technology. 24 (1): 35–43.
doi:
10.1080/0020739930240105.
ISSN
0020-739X.
-
^ Asiru, Muniru Aderemi (May 2002).
"Further properties of the Sumudu transform and its applications". International Journal of Mathematical Education in Science and Technology. 33 (3): 441–449.
doi:
10.1080/002073902760047940.
ISSN
0020-739X.
S2CID
123671820.
-
^ Zhang, Jun; Shen, Fangyang (2018).
"Sumudu Transform for Automatic Mathematical Proof and Identity Generation". In Latifi, Shahram (ed.). Information Technology - New Generations. Advances in Intelligent Systems and Computing. Vol. 558. Cham: Springer International Publishing. pp. 677–683.
doi:
10.1007/978-3-319-54978-1_85.
ISBN
978-3-319-54978-1.
-
^ Kılıcman, A.; Gadain, H. E. (2010-06-01).
"On the applications of Laplace and Sumudu transforms". Journal of the Franklin Institute. 347 (5): 848–862.
doi:
10.1016/j.jfranklin.2010.03.008.
ISSN
0016-0032.
-
^ Watugala, G. K. (January 1993).
"Sumudu transform: a new integral transform to solve differential equations and control engineering problems". International Journal of Mathematical Education in Science and Technology. 24 (1): 35–43.
doi:
10.1080/0020739930240105.
ISSN
0020-739X.
-
^ Kapoor, Mamta (June 15, 2023).
"Sumudu Transform for Time Fractional Physical Models an Analytical Aspect". Journal of Applied Analysis & Computation. 13 (3): 1255–1273.
doi:
10.11948/20220096.
ISSN
2156-907X.