{
  "id": "enwiki-001359885594",
  "slug": "sumudu-transform",
  "title": "Sumudu transform",
  "qid": "",
  "lead": "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",
  "body": "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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  "license": "CC BY-SA 4.0",
  "source_uri": "https://en.wikipedia.org/w/index.php?oldid=1359885594",
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  "created_at": null,
  "updated_at": 1781723101.0,
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    "id": "enwiki-001359885594",
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    "title": "Sumudu transform",
    "author": [
      {
        "family": "Anticloud FZ LLE",
        "literal": "Anticloud FZ LLE"
      }
    ],
    "container-title": "encyclopegia.org",
    "publisher": "Anticloud FZ LLE",
    "publisher-place": "Dubai, United Arab Emirates",
    "URL": "https://encyclopegia.org/a/sumudu-transform",
    "issued": {
      "date-parts": [
        [
          2026,
          11,
          14
        ]
      ]
    },
    "accessed": {
      "date-parts": [
        [
          2026,
          11,
          14
        ]
      ]
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    "license": "CC BY-SA 4.0",
    "DOI": "eo1:enwiki-001359885594",
    "isBasedOn": "https://en.wikipedia.org/w/index.php?oldid=1359885594",
    "note": "Immutable snapshot enwiki-001359885594"
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}