期刊
AIMS MATHEMATICS
卷 4, 期 4, 页码 1203-1222出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/math.2019.4.1203
关键词
approximate-analytical method; nonlinear fractional partial differential equations; fractional KdV equations; traveling wave solutions
资金
- Natural Sciences AMP
- Engineering Research Council of Canada (NSERC) [185986]
- Instituto Nazionale di Alta Matematica (INdAM) Francesco Severi, Gruppo Nazionale per le Strutture Algebriche, Geometriche e Loro Applicazioni grant [9 920160 000362, U 2016/000036]
- Scientific and Technological Research Council of Turkey (TUBITAK) Scientific Human Resources Development (BIDEB) [2221-1059B211301223]
This paper introduces an approximate-analytical method (AAM) for solving nonlinear fractional partial differential equations (NFPDEs) in full general forms. The main advantage of the paper is to apply the proposed AAM to solve the fractional Korteweg-de Vries (KdV) equations. Moreover, the analytical travelling wave solutions for the fractional KdV equation and the modified fractional KdV equation are successfully obtained. The numerical solutions are also obtained in the forms of tables and graphs. The fractional partial derivatives are considered in Caputo sense.
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