A Review on Fractional Differential Equations and a Numerical Method to Solve Some Boundary Value Problems

Author:

I. Troparevsky María,A. Seminara Silvia,A. Fabio Marcela

Publisher

IntechOpen

Reference49 articles.

1. Diethelm K. The Analysis of Fractional Differential Equations. Berlin: Springer Verlag; 2010. 264p. ISBN: 9783642145735. DOI: 10.1007/978-3-642-14574-2

2. Capelas de Oliveira E, Tenreiro Machado J. A review of definitions for fractional derivatives and integral. Mathematical Problems in Engineering. 2014;2014:238459. DOI: 10.1155/2014/238459. 6p

3. Oldham K, Spanier J. The Fractional Calculus. New York-London: Academic Press Inc.; 1974. 322p. ISBN: 9780080956206

4. Miller K, Ross B. An Introduction to the Fractional Calculus and Fractional Differential Equations. New York: John Wiley & Sons, Inc; 1993. 382p. ISBN: 0471588849

5. Samko S, Kilbas A, Marichev O. Fractional Integrals and Derivatives. Theory and Applications. Amsterdam: Gordon and Breach Science Publishers; 1993. 1016p. ISBN: 2881248640

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