Fractional calculus

en

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Fractional calculus

Quality:

Fractional calculus - branch of mathematical analysis with fractional applications of derivatives and integrals. Article “Fractional calculus” in English Wikipedia has 72.7 points for quality (as of July 1, 2025). The article contains 98 references and 35 sections.

This article has the best quality in Estonian Wikipedia. However, this article is the most popular in English version.

In June 2025 the article “Fractional calculus” was edited by 3 authors in English Wikipedia and written by 3 authors in all languages.

Since the creation of article “Fractional calculus”, its content was written by 266 registered users of English Wikipedia and edited by 519 registered Wikipedia users in all languages.

The article is cited 295 times in English Wikipedia and cited 904 times in all languages.

The highest Authors Interest rank from 2001:

  • Local (English): #2256 in July 2003
  • Global: #7441 in July 2003

The highest popularity rank from 2008:

  • Local (English): #50139 in December 2021
  • Global: #82203 in December 2021

There are 17 language versions for this article in the WikiRank database (of the considered 55 Wikipedia language editions).

The quality and popularity assessment was based on Wikipédia dumps from July 1, 2025 (including revision history and pageviews for previous years).

The table below shows the language versions of the article with the highest quality.

Languages with the highest quality

#LanguageQuality gradeQuality score
1Estonian (et)
Murruline diferentsiaal- ja integraalarvutus
79.5747
2English (en)
Fractional calculus
72.6678
3Ukrainian (uk)
Дробове числення
62.3936
4Italian (it)
Calcolo frazionario
47.3174
5Turkish (tr)
Kesirli analiz
46.7768
6Chinese (zh)
分数微积分
29.0757
7Hebrew (he)
חשבון אינפיניטסימלי שברי
28.7882
8Spanish (es)
Cálculo fraccional
28.7714
9German (de)
Fraktionale Infinitesimalrechnung
27.456
10French (fr)
Analyse fractionnaire
24.504
More...

The following table shows the most popular language versions of the article.

Most popular in all the time

The most popular language versions of the article "Fractional calculus" in all the time
#LanguagePopularity awardRelative popularity
1English (en)
Fractional calculus
1 603 646
2Spanish (es)
Cálculo fraccional
116 974
3French (fr)
Analyse fractionnaire
100 435
4Chinese (zh)
分数微积分
94 296
5Japanese (ja)
分数階微積分学
94 166
6German (de)
Fraktionale Infinitesimalrechnung
78 049
7Arabic (ar)
تفاضل وتكامل كسري
23 352
8Portuguese (pt)
Cálculo fracionário
23 206
9Polish (pl)
Pochodna ułamkowa
19 659
10Italian (it)
Calcolo frazionario
17 787
More...

The following table shows the language versions of the article with the highest popularity in the last month.

Most popular in June 2025

The most popular language versions of the article "Fractional calculus" in June 2025
#LanguagePopularity awardRelative popularity
1English (en)
Fractional calculus
6 495
2Japanese (ja)
分数階微積分学
539
3French (fr)
Analyse fractionnaire
511
4Spanish (es)
Cálculo fraccional
479
5Chinese (zh)
分数微积分
219
6German (de)
Fraktionale Infinitesimalrechnung
114
7Italian (it)
Calcolo frazionario
100
8Arabic (ar)
تفاضل وتكامل كسري
70
9Portuguese (pt)
Cálculo fracionário
60
10Turkish (tr)
Kesirli analiz
52
More...

The following table shows the language versions of the article with the highest Authors’ Interest.

The highest AI

Language versions of the article "Fractional calculus" with the highest Authors Interest (number of authors). Only registered Wikipedia users were taken into account.
#LanguageAI awardRelative AI
1English (en)
Fractional calculus
266
2French (fr)
Analyse fractionnaire
59
3German (de)
Fraktionale Infinitesimalrechnung
41
4Italian (it)
Calcolo frazionario
27
5Spanish (es)
Cálculo fraccional
26
6Chinese (zh)
分数微积分
17
7Japanese (ja)
分数階微積分学
15
8Turkish (tr)
Kesirli analiz
15
9Polish (pl)
Pochodna ułamkowa
11
10Persian (fa)
حساب کسری
7
More...

The following table shows the language versions of the article with the highest Authors’ Interest in the last month.

The highest AI in June 2025

Language versions of the article "Fractional calculus" with the highest AI in June 2025
#LanguageAI awardRelative AI
1English (en)
Fractional calculus
3
2Arabic (ar)
تفاضل وتكامل كسري
0
3German (de)
Fraktionale Infinitesimalrechnung
0
4Spanish (es)
Cálculo fraccional
0
5Estonian (et)
Murruline diferentsiaal- ja integraalarvutus
0
6Persian (fa)
حساب کسری
0
7French (fr)
Analyse fractionnaire
0
8Hebrew (he)
חשבון אינפיניטסימלי שברי
0
9Hindi (hi)
भिन्नात्मक कलन
0
10Italian (it)
Calcolo frazionario
0
More...

The following table shows the language versions of the article with the highest number of citations.

The highest CI

Language versions of the article "Fractional calculus" with the highest Citation Index (CI)
#LanguageCI awardRelative CI
1English (en)
Fractional calculus
295
2Japanese (ja)
分数階微積分学
109
3Chinese (zh)
分数微积分
108
4Korean (ko)
분수계 미적분학
94
5Ukrainian (uk)
Дробове числення
83
6Persian (fa)
حساب کسری
61
7Arabic (ar)
تفاضل وتكامل كسري
56
8Spanish (es)
Cálculo fraccional
30
9French (fr)
Analyse fractionnaire
25
10Portuguese (pt)
Cálculo fracionário
16
More...

Scores

Estimated value for Wikipedia:
English:
Global:
Popularity in June 2025:
English:
Global:
Popularity in all years:
English:
Global:
Authors in June 2025:
English:
Global:
Registered authors in all years:
English:
Global:
Citations:
English:
Global:

Quality measures

Interwikis

#LanguageValue
arArabic
تفاضل وتكامل كسري
deGerman
Fraktionale Infinitesimalrechnung
enEnglish
Fractional calculus
esSpanish
Cálculo fraccional
etEstonian
Murruline diferentsiaal- ja integraalarvutus
faPersian
حساب کسری
frFrench
Analyse fractionnaire
heHebrew
חשבון אינפיניטסימלי שברי
hiHindi
भिन्नात्मक कलन
itItalian
Calcolo frazionario
jaJapanese
分数階微積分学
koKorean
분수계 미적분학
plPolish
Pochodna ułamkowa
ptPortuguese
Cálculo fracionário
trTurkish
Kesirli analiz
ukUkrainian
Дробове числення
zhChinese
分数微积分

Popularity rank trends

Best Rank English:
#50139
12.2021
Global:
#82203
12.2021

AI rank trends

Best Rank English:
#2256
07.2003
Global:
#7441
07.2003

Local AI rank history

Global AI rank history

Languages comparison

Important global interconnections (July 2024 – June 2025)

Wikipedia readers most often find their way to information on Fractional calculus from Wikipedia articles about Richard Feynman, Fractal derivative, Dirac equation, Cauchy formula for repeated integration and Gottfried Wilhelm Leibniz. Whereas reading the article about Fractional calculus people most often go to Wikipedia articles on Cauchy formula for repeated integration, Differintegral, Grünwald–Letnikov derivative, Fractal derivative and Gamma function.

Cumulative results of quality and popularity of the Wikipedia article

List of Wikipedia articles in different languages (starting with the most popular):

News from 12 August 2025

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In English Wikipedia the most popular articles on that day were: Weapons (2025 film), Danielle Spencer (American actress), Cristiano Ronaldo, Deaths in 2025, Taylor Swift, Wednesday (TV series), Superman (2025 film), Georgina Rodríguez, Coolie (2025 film), The Fantastic Four: First Steps.

About WikiRank

The WikiRank project is intended for automatic relative evaluation of the articles in the various language versions of Wikipedia. At the moment the service allows to compare over 44 million Wikipedia articles in 55 languages. Quality scores of articles are based on Wikipedia dumps from July, 2025. When calculating current popularity and AI of articles data from June 2025 was taken into account. For historical values of popularity and AI WikiRank used data from 2001 to 2025... More information