A Review of Definitions for Fractional Derivatives and Integral

By E. Capelas de Oliveira, J. Machado. 2014

577 citations recorded by the source corpus.

This paper presents a review of definitions of fractional order derivatives and integrals that appear in mathematics, physics, and engineering.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/3456ce68e8d498e917914ef4637885f652df7126

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. J. Sousa
2. E. Capelas de Oliveira
3. Thabet Abdeljawad
4. Ashwini D. Mali
5. Kishor D. Kucche
6. Fahd Jarad
7. Mohammed S Abdo

In Modeling and Simulation

1. J. Sousa
2. E. Capelas de Oliveira
3. Thabet Abdeljawad
4. Ashwini D. Mali
5. Kishor D. Kucche
6. Fahd Jarad

In Numerical Analysis

1. J. Sousa
2. E. Capelas de Oliveira

Citations in the corpus

• On the ψ-Hilfer fractional derivative (2017, background): “These integrals and fractional derivatives have a different kernel and this makes the number of definitions [1, 2, 15, 16, 17, 18, 19] wide.”