English Dictionary

fractional calculus

名詞

不可算名詞

(mathematical analysis, uncountable) The branch of mathematics that studies generalisations of calculus to allow noninteger (i.e., real or complex) powers of the differentiation operator D and the integration operator J; (countable) any one of said generalisations of calculus.

日本語の意味

分数階微分積分学：伝統的な微積分の概念を、微分や積分の非整数（実数または複素数）の演算子乗に拡張して扱う数学の一分野。 / 非整数階の微分や積分を含む、微分積分学の一般化理論。

She applied fractional calculus to model the memory effects observed in viscoelastic materials.

彼女は粘弾性材料で観察される記憶効果をモデル化するために分数階微分積分学を応用した。

意味（1）

(mathematical analysis, uncountable) The branch of mathematics that studies generalisations of calculus to allow noninteger (i.e., real or complex) powers of the differentiation operator D and the integration operator J; (countable) any one of said generalisations of calculus.

The paper presents the definition sets required for initialized fractional calculi. Two underlying bases have been used, the Riemann-Liouville based fractional calculus and the Grünwald based functional calculus (by reference).

fractional calculi （ plural ）