Math. Model. Nat. Phenom.
Volume 13, Number 1, 2018
Theory and applications of fractional differentiation
|Number of page(s)||17|
|Published online||26 February 2018|
Numerical and analytical solutions of nonlinear differential equations involving fractional operators with power and Mittag-Leffler kernel
Universidad Autónoma de la Ciudad de México,
Prolongación San Isidro 151, Col. San Lorenzo Tezonco, Del. Iztapalapa,
México D.F., Mexico
2 CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, C.P. 62490 Cuernavaca, Morelos, Mexico
* Corresponding author: email@example.com
Accepted: 24 September 2017
Analytical and numerical simulations of nonlinear fractional differential equations are obtained with the application of the homotopy perturbation transform method and the fractional Adams-Bashforth-Moulton method. Fractional derivatives with non singular Mittag-Leffler function in Liouville-Caputo sense and the fractional derivative of Liouville-Caputo type are considered. Some examples have been presented in order to compare the results obtained, classical behaviors are recovered when the derivative order is 1.
Mathematics Subject Classification: 30.02.Jr / 60.02.Cb / 60.02.Lj
Key words: Fractional calculus / nonlinear fractional differential equations / homotopy perturbation transform method / fractional derivative with nonsingular Mittag-Leffler kernel
© EDP Sciences, 2018
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