| Issue |
Math. Model. Nat. Phenom.
Volume 13, Number 1, 2018
Theory and applications of fractional differentiation
|
|
|---|---|---|
| Article Number | 14 | |
| Number of page(s) | 22 | |
| DOI | https://doi.org/10.1051/mmnp/2018012 | |
| Published online | 26 February 2018 | |
First integral method for non-linear differential equations with conformable derivative
1
Universidad Autónoma de la Ciudad de México,
Prolongación San Isidro 151, Col. San Lorenzo Tezonco, Del. Iztapalapa,
C.P. 09790
México D.F., Mexico
2
CONACyT-Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira,
C.P. 62490
Cuernavaca,
Morelos, Mexico
3
Institute for Groundwater Studies, Faculty of Natural and Agricultural Sciences, University of the Free State,
Bloemfontein
9300, South Africa
* Corresponding author: jgomez@cenidet.edu.mx
Received:
25
September
2017
Revised:
6
October
2017
Accepted:
10
January
2018
In this paper, we present an analysis based on the first integral method in order to construct exact solutions of the nonlinear fractional partial differential equations (FPDE) described by beta-derivative. A general scheme to find the approximated solutions of the nonlinear FPDE is showed. The results obtained showed that the first integral method is an efficient technique for analytic treatment of nonlinear beta-derivative FPDE.
Mathematics Subject Classification: 02.30.Jr / 02.60.Cb / 02.60.Lj
Key words: Beta-derivative / first integral method / nonlinear fractional differential equations / exact analytical solutions
© EDP Sciences, 2018
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