Sumudu transform
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The Sumudu transform is an integral transform introduced in 1990 by G K Watagala. It is defined over the set of functions A = \{f(t) : \ni M, p ,q> 0 , |f(t)|\leq M \exp(1/u) \} where p \leq u \leq q , the Sumudu transform is defined as S[f(t)]= \frac 1 u \int_0^\infty f(t) \exp\left(-\frac tu\right) \, dt
The Sumudu transform is an integral transform introduced in 1990 by G K Watagala. It is defined over the set of functions A = \{f(t) : \ni M, p ,q> 0 , |f(t)|\leq M \exp(1/u) \} where p \leq u \leq q , the Sumudu transform is defined as S[f(t)]= \frac 1 u \int_0^\infty f(t) \exp\left(-\frac tu\right) \, dt S[f(t)](u)=\frac{1}{u} L[f(t)](\frac{1}{u}) ; and to Elzaki transform by the following relation: u^2S[f(t)](u)= E[f(t)](u) .
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