A simple technique for constructing exact solutions to nonlinear differential equations with conformable fractional derivative

被引:0
作者
Melike Kaplan
Ahmet Bekir
Mehmet Naci Ozer
机构
[1] Eskisehir Osmangazi University,Art
来源
Optical and Quantum Electronics | 2017年 / 49卷
关键词
Nonlinear fractional differential equation; Conformable derivative; Exact solutions;
D O I
暂无
中图分类号
学科分类号
摘要
The modified simple equation method is an interesting technique to find new and more general exact solutions to the fractional differential equations in nonlinear sciences. In this paper, the method is applied to construct exact solutions of (2+1)-dimensional conformable time-fractional Zoomeron equation and the conformable space-time fractional EW equation.
引用
收藏
相关论文
共 52 条
  • [1] Bekir A(2016)Exact solutions for fractional differential-difference equations by Adv. Appl. Math. Mech. 8 293-305
  • [2] Guner O(2017)-expansion method with modified Riemann-Liouville derivative Waves Random Complex Media 27 103-116
  • [3] Ayhan B(2014)New exact solutions of Burgers’ type equations with conformable derivative AIP Conf. Proc. 1637 283-289
  • [4] Cevikel AC(2016)The investigation of exact solutions of nonlinear time-fractional Klein-Gordon equation by using generalized Kudryashov method Optik 127 10659-10669
  • [5] Cenesiz Y(2016)Optical soliton perturbation with fractional-temporal evolution by first integral method with conformable fractional derivatives Calcolo 53 475-485
  • [6] Baleanu D(2017)The first integral method for Wu-Zhang system with conformable time-fractional derivative Commun. Theor. Phys. 6 182-188
  • [7] Kurt A(2017)Dark soliton solutions of space-time fractional Sharma-Tasso-Olver and Potential Kadomtsev-Petviashvili equations Eur. Phys. J. Plus 132 92-1029
  • [8] Tasbozan O(2011)Tanh-type and sech-type solitons for some space-time fractional PDE models Pramana J. Phys. 77 1023-742
  • [9] Demiray ST(2017)Application of trial equation method to the nonlinear partial differential equations arising in mathematical physics Optik 130 737-1383
  • [10] Pandir Y(2015)Modified Kudryashov method for solving the conformable time-fractional Klein-Gordon equations with quadratic and cubic nonlinearities Rom. J. Phys. 60 1374-70