The Chronicles of Fractional Calculus

Author:

Machado J.A.Tenreiro1,Kiryakova Virginia2

Affiliation:

1. Institute of Engineering , Polytechnic of Porto Dept. of Electrical Engineering Rua Dr. António Bernardino de Almeida , 431 4249 – 015 Porto , Portugal

2. Institute of Mathematics and Informatics Bulgarian Academy of Sciences “Acad. G. Bontchev” Str. , Block 8 Sofia – 1113, Bulgaria

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

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