Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the Rach–Adomian–Meyers modified decomposition method-Reference-Cited by-同舟云学术

Solutions of the initial value problem for nonlinear fractional ordinary differential equations by the Rach–Adomian–Meyers modified decomposition method

Published:2012-05 Issue:17 Volume:218 Page:8370-8392
ISSN:0096-3003
Container-title:Applied Mathematics and Computation
language:en
Short-container-title:Applied Mathematics and Computation

Author:

Duan Jun-Sheng,Chaolu Temuer,Rach Randolph

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics

Reference95 articles.

1. The Fractional Calculus;Oldham,1974

2. An Introduction to the Fractional Calculus and Fractional Differential Equations;Miller,1993

3. Fractional calculus: integral and differential equations of fractional order;Gorenflo,1997

4. Fractional calculus: some basic problems in continuum and statistical mechanics;Mainardi,1997

5. Fractional Differential Equations;Podlubny,1999

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