The first integral method for Wu---Zhang system with conformable time-fractional derivative

作者: Mostafa Eslami , Hadi Rezazadeh

DOI: 10.1007/S10092-015-0158-8

关键词:

摘要: In this paper, the first integral method is used to construct exact solutions of time-fractional Wu---Zhang system. Fractional derivatives are described by conformable fractional derivative. This based on ring theory commutative algebra. The results obtained confirm that proposed an efficient technique for analytic treatment a wide variety nonlinear partial differential equations.

参考文章(13)
Nick Laskin, Fractional market dynamics Physica A-statistical Mechanics and Its Applications. ,vol. 287, pp. 482- 492 ,(2000) , 10.1016/S0378-4371(00)00387-3
Igor Podlubny, Fractional differential equations ,(1999)
A. Fonda, Michal Fečkan, A. Cañada, Flaviano Battelli, P. (Pavel) Drabek, Ordinary differential equations Elsevier North Holland. ,(2004)
A.M.A. El-Sayed, A.E.M. El-Mesiry, H.A.A. El-Saka, On the fractional-order logistic equation Applied Mathematics Letters. ,vol. 20, pp. 817- 823 ,(2007) , 10.1016/J.AML.2006.08.013
Guy Jumarie, None, Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results Computers & Mathematics With Applications. ,vol. 51, pp. 1367- 1376 ,(2006) , 10.1016/J.CAMWA.2006.02.001
Xuedong Zheng, Yong Chen, Hongqing Zhang, Generalized extended tanh-function method and its application to (1+1)-dimensional dispersive long wave equation Physics Letters A. ,vol. 311, pp. 145- 157 ,(2003) , 10.1016/S0375-9601(03)00451-1
Roshdi Khalil, Mohammed Al Horani, Abdelrahman Yousef, Mohammad Sababheh, None, A new definition of fractional derivative Journal of Computational and Applied Mathematics. ,vol. 264, pp. 65- 70 ,(2014) , 10.1016/J.CAM.2014.01.002
Thabet Abdeljawad, On conformable fractional calculus Journal of Computational and Applied Mathematics. ,vol. 279, pp. 57- 66 ,(2015) , 10.1016/J.CAM.2014.10.016