Numerical approximation of Riemann-Liouville definition of fractional derivative: From Riemann-Liouville to Atangana-Baleanu-Reference-Cited by-同舟云学术

Numerical approximation of Riemann-Liouville definition of fractional derivative: From Riemann-Liouville to Atangana-Baleanu

Published:2017-08-16 Issue:5 Volume:34 Page:1502-1523
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer. Methods Partial Differential Eq.

Author:

Atangana Abdon¹^ORCID,Gómez-Aguilar J. F.²^ORCID

Affiliation:

1. Faculty of Natural and Agricultural Sciences; Institute for Groundwater Studies, University of the Free State; Bloemfontein 9300 South Africa

2. CONACyT-Centro Nacional de Investigación y Desarrollo Tecnológico, Tecnológico Nacional de México; Interior Internado Palmira S/N, Col. Palmira, C.P. 62490, Cuernavaca Morelos México

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/num.22195/fullpdf

Reference40 articles.

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3. A fractional model to describe the Brownian motion of particles and its analytical solution;Yao;Adv. Mech. Eng.,2015

4. Mathematical modelling and analysis of two-component system with Caputo fractional derivative order;Owolabi;Chaos Solitons Fractals,2017

5. Two analytical methods for time-fractional nonlinear coupled Boussinesq-Burger's equations arise in propagation of shallow water waves;Kumar;Nonlinear Dyn.,2016

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