In fractional calculus, an area of mathematical analysis, the differintegral is a combined differentiation/integration operator. Applied to a function ƒ, the q-differintegral of f, here denoted by is the fractional derivative (if q > 0) or fractional integral (if q < 0). If q = 0, then the q-th differintegral of a function is the function itself. In the context of fractional integration and differentiation, there are several legitimate definitions of the differintegral.
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| - Differintegral (en)
- Differintegrale (it)
- Diferintegral (pt)
- Дробное интегро-дифференцирование (ru)
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| - In fractional calculus, an area of mathematical analysis, the differintegral is a combined differentiation/integration operator. Applied to a function ƒ, the q-differintegral of f, here denoted by is the fractional derivative (if q > 0) or fractional integral (if q < 0). If q = 0, then the q-th differintegral of a function is the function itself. In the context of fractional integration and differentiation, there are several legitimate definitions of the differintegral. (en)
- Nell'analisi frazionaria, un'area della matematica applicata, il differintegrale è un operatore formato dalla combinazione di derivata e integrale. Applicato ad una funzione , il q-differintegrale di , indicato come è la derivata frazionaria (se q > 0) o l'integrale frazionario (se q < 0). Se q = 0, allora il q-differintegrale di una funzione è la funzione stessa. Nel contesto della derivata e integrale frazionari, ci sono numerose definizioni del differintegrale. (it)
- Дробное интегро-дифференцирование в математическом анализе — объединённый оператор дифференцирования/интегрирования, порядок которого может быть произвольным вещественным или комплексным числом. Используется в дробном математическом анализе.Обычно оператор производной/интеграла дробного порядка обозначаетсяследующим образом: (ru)
- Em cálculo fracional, na área de matemática aplicada, a diferintegral é um operador combinado de diferenciação/integração. Aplicada a uma função ƒ, a diferintegral q de f, aqui notada por é a derivada fracional (se q>0) ou integral fracional (se q<0). No contexto da integração e diferenciação fracional, existem diversas definições legítimas de diferintegral. (pt)
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| - In fractional calculus, an area of mathematical analysis, the differintegral is a combined differentiation/integration operator. Applied to a function ƒ, the q-differintegral of f, here denoted by is the fractional derivative (if q > 0) or fractional integral (if q < 0). If q = 0, then the q-th differintegral of a function is the function itself. In the context of fractional integration and differentiation, there are several legitimate definitions of the differintegral. (en)
- Nell'analisi frazionaria, un'area della matematica applicata, il differintegrale è un operatore formato dalla combinazione di derivata e integrale. Applicato ad una funzione , il q-differintegrale di , indicato come è la derivata frazionaria (se q > 0) o l'integrale frazionario (se q < 0). Se q = 0, allora il q-differintegrale di una funzione è la funzione stessa. Nel contesto della derivata e integrale frazionari, ci sono numerose definizioni del differintegrale. (it)
- Дробное интегро-дифференцирование в математическом анализе — объединённый оператор дифференцирования/интегрирования, порядок которого может быть произвольным вещественным или комплексным числом. Используется в дробном математическом анализе.Обычно оператор производной/интеграла дробного порядка обозначаетсяследующим образом: (ru)
- Em cálculo fracional, na área de matemática aplicada, a diferintegral é um operador combinado de diferenciação/integração. Aplicada a uma função ƒ, a diferintegral q de f, aqui notada por é a derivada fracional (se q>0) ou integral fracional (se q<0). No contexto da integração e diferenciação fracional, existem diversas definições legítimas de diferintegral. (pt)
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