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On Fractional Operators and Their Classifications
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Numerical Approaches to Fractional Integrals and Derivatives: A Review

by Min Cai and Changpin Li *
Department of Mathematics, Shanghai University, Shanghai 200444, China
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(1), 43; https://doi.org/10.3390/math8010043
Received: 30 November 2019 / Revised: 18 December 2019 / Accepted: 19 December 2019 / Published: 1 January 2020
(This article belongs to the Special Issue Fractional Integrals and Derivatives: “True” versus “False”)
Fractional calculus, albeit a synonym of fractional integrals and derivatives which have two main characteristics—singularity and nonlocality—has attracted increasing interest due to its potential applications in the real world. This mathematical concept reveals underlying principles that govern the behavior of nature. The present paper focuses on numerical approximations to fractional integrals and derivatives. Almost all the results in this respect are included. Existing results, along with some remarks are summarized for the applied scientists and engineering community of fractional calculus. View Full-Text
Keywords: fractional integral; fractional derivative; numerical approximation fractional integral; fractional derivative; numerical approximation
MDPI and ACS Style

Cai, M.; Li, C. Numerical Approaches to Fractional Integrals and Derivatives: A Review. Mathematics 2020, 8, 43.

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