Phrase guide

fractional calculus

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

Each Play button uses your device's default local English voice, or a natural local fallback. The selected voice name appears after playback. This is synthesized speech, not a source recording.

No pronunciation record was provided for this word.

1

noun

Meaning 1

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.

Definition source: English Wiktionary via Wiktextract

Usage: uncountable

Topics: mathematical-analysis, mathematics, sciences

Examples

  • 2000, Carl F. Lorenzo, Tom T. Hartley, Initialized Fractional Calculus, NASA, NASA/TP—2000-209943, page 12, 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).

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

7 source translations are retained for this English entry.

  • French: analyse fractionnaire — branch of analysis
  • German: fraktionale Infinitesimalrechnung — branch of analysis
  • Italian: calcolo frazionario — branch of analysis
  • Polish: pochodna ułamkowa — branch of analysis
  • Portuguese: cálculo fracionário — branch of analysis
  • Portuguese: cálculo de ordem não inteira — branch of analysis
  • Spanish: cálculo fraccional — branch of analysis