Scimago Journal & Country Rank

Progress in Fractional Differentiation and Applications


United States

Universities and research institutions in United States

Subject Area and Category


Natural Sciences Publishing



Publication type



23569336, 23569344




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The set of journals have been ranked according to their SJR and divided into four equal groups, four quartiles. Q1 (green) comprises the quarter of the journals with the highest values, Q2 (yellow) the second highest values, Q3 (orange) the third highest values and Q4 (red) the lowest values.

Applied Mathematics2019Q2
Applied Mathematics2020Q3
Applied Mathematics2021Q2

The SJR is a size-independent prestige indicator that ranks journals by their 'average prestige per article'. It is based on the idea that 'all citations are not created equal'. SJR is a measure of scientific influence of journals that accounts for both the number of citations received by a journal and the importance or prestige of the journals where such citations come from It measures the scientific influence of the average article in a journal, it expresses how central to the global scientific discussion an average article of the journal is.

Total Documents

Evolution of the number of published documents. All types of documents are considered, including citable and non citable documents.

Citations per document

This indicator counts the number of citations received by documents from a journal and divides them by the total number of documents published in that journal. The chart shows the evolution of the average number of times documents published in a journal in the past two, three and four years have been cited in the current year. The two years line is equivalent to journal impact factor ™ (Thomson Reuters) metric.

Cites per documentYearValue
Cites / Doc. (4 years)20150.000
Cites / Doc. (4 years)20165.214
Cites / Doc. (4 years)20174.839
Cites / Doc. (4 years)20185.226
Cites / Doc. (4 years)20195.352
Cites / Doc. (4 years)20202.393
Cites / Doc. (4 years)20211.991
Cites / Doc. (3 years)20150.000
Cites / Doc. (3 years)20165.214
Cites / Doc. (3 years)20174.839
Cites / Doc. (3 years)20185.226
Cites / Doc. (3 years)20192.312
Cites / Doc. (3 years)20201.881
Cites / Doc. (3 years)20212.107
Cites / Doc. (2 years)20150.000
Cites / Doc. (2 years)20165.214
Cites / Doc. (2 years)20174.839
Cites / Doc. (2 years)20182.036
Cites / Doc. (2 years)20191.735
Cites / Doc. (2 years)20202.054
Cites / Doc. (2 years)20212.429
Total Cites 

Evolution of the total number of citations and journal's self-citations received by a journal's published documents during the three previous years.
Journal Self-citation is defined as the number of citation from a journal citing article to articles published by the same journal.

Self Cites20150
Self Cites201611
Self Cites201712
Self Cites201816
Self Cites201919
Self Cites20207
Self Cites20213
Total Cites20150
Total Cites2016146
Total Cites2017271
Total Cites2018439
Total Cites2019178
Total Cites2020158
Total Cites2021177
External Cites per Doc 
Cites per Doc

Evolution of the number of total citation per document and external citation per document (i.e. journal self-citations removed) received by a journal's published documents during the three previous years. External citations are calculated by subtracting the number of self-citations from the total number of citations received by the journal’s documents.

External Cites per document20150
External Cites per document20164.821
External Cites per document20174.625
External Cites per document20185.096
External Cites per document20192.092
External Cites per document20201.819
External Cites per document20212.071
Cites per document20150.000
Cites per document20165.214
Cites per document20174.839
Cites per document20185.226
Cites per document20192.312
Cites per document20201.881
Cites per document20212.107
% International Collaboration

International Collaboration accounts for the articles that have been produced by researchers from several countries. The chart shows the ratio of a journal's documents signed by researchers from more than one country; that is including more than one country address.

YearInternational Collaboration
Citable documents 
Non-citable documents

Not every article in a journal is considered primary research and therefore "citable", this chart shows the ratio of a journal's articles including substantial research (research articles, conference papers and reviews) in three year windows vs. those documents other than research articles, reviews and conference papers.

Non-citable documents20150
Non-citable documents20160
Non-citable documents20170
Non-citable documents20181
Non-citable documents20191
Non-citable documents20201
Non-citable documents20210
Citable documents20150
Citable documents201628
Citable documents201756
Citable documents201883
Citable documents201976
Citable documents202083
Citable documents202184
Cited documents 
Uncited documents

Ratio of a journal's items, grouped in three years windows, that have been cited at least once vs. those not cited during the following year.

Uncited documents20150
Uncited documents201610
Uncited documents201725
Uncited documents201834
Uncited documents201931
Uncited documents202034
Uncited documents202132
Cited documents20150
Cited documents201618
Cited documents201731
Cited documents201850
Cited documents201946
Cited documents202050
Cited documents202152
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Metrics based on Scopus® data as of April 2022
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