Numerical Approaches to Fractional Integrals and Derivatives: A Review

Min Cai and Changpin Li
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Min Cai: Department of Mathematics, Shanghai University, Shanghai 200444, China
Changpin Li: Department of Mathematics, Shanghai University, Shanghai 200444, China

Mathematics, 2020, vol. 8, issue 1, 1-53

Abstract: 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.

Keywords: fractional integral; fractional derivative; numerical approximation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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