The Chronicles of Fractional Calculus

Since the 60s of last century Fractional Calculus exhibited a remarkable progress and presently it is recognized to be an important topic in the scientific arena. This survey analyzes and measures the evolution that occurred during the last five decades in the light of books, journals and conference...

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Published inFractional calculus & applied analysis Vol. 20; no. 2; pp. 307 - 336
Main Authors Machado, J. A. Tenreiro, Kiryakova, Virginia
Format Journal Article
LanguageEnglish
Published Warsaw Versita 01.04.2017
De Gruyter
Nature Publishing Group
Subjects
01A60
01A61
01A67
35R11
60G22
Abstract Harmonic Analysis
Analysis
applications
development
Fractional calculus
fractional order differential equations
fractional order mathematical models
Functional Analysis
Historical Survey
Integral Transforms
Mathematical analysis
Mathematics
Operational Calculus
Primary 26A33
Secondary 34A08
01A60
fractional calculus
development
Primary 26A33
fractional order differential equations
Secondary 34A08, 35R11, 60G22
fractional order mathematical models
01A61, 01A67
applications
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Summary:Since the 60s of last century Fractional Calculus exhibited a remarkable progress and presently it is recognized to be an important topic in the scientific arena. This survey analyzes and measures the evolution that occurred during the last five decades in the light of books, journals and conferences dedicated to the theory and applications of this mathematical tool, dealing with operations of integration and differentiation of arbitrary (fractional) order and their generalizations.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1311-0454
1314-2224
DOI:10.1515/fca-2017-0017