Further properties of the Sumudu transform and its applications. (English) Zbl 1013.44001

The Sumudu transform \[ F(u)= \int^\infty_0 {1\over u} \exp\Biggl(-{t\over u}\Biggr) f(t) \] is nothing else than the well known Laplace-Carson transform [cf. V. A. Ditkin and A. P. Prudnikov, Integral transforms and operational calculus (1965; Zbl 0133.06202)] after the substitution \(u={1\over p}\).


44A10 Laplace transform
44A15 Special integral transforms (Legendre, Hilbert, etc.)


Zbl 0133.06202
Full Text: DOI


[1] MILES J. W, Integral Transfarms in Applied Mathematics (1971)
[2] SNBDOON I. N, The Use of Integral Transferm (1972)
[3] STEPHENSON G, Mathematical Methods for Science Students (1973)
[4] SPEIGEL M. R, Schaum’s Outline of Theory and Problems of Advanced Calculus (1974)
[5] DAVIS B, Integral Trensform and their Application, Applied Mathematical Science 26 (1978)
[6] WATSON E. J, Laplace Transform and Applications (1981)
[7] WIDDER D. V, Advanced Calculus (1988)
[8] DOI: 10.1080/0020739930240105 · Zbl 0768.44003
[9] DOI: 10.1080/0020739940250214 · Zbl 0812.35004
[10] DOI: 10.1080/002073901317147870 · Zbl 1008.45003
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.