The first integral method applied to the Bogoyavlenskii equations by means of conformable fractional derivative
暂无分享,去创建一个
F. S. Khodadad | Hadi Rezazadeh | Fakhroddin Nazari | Mostafa Eslami | Farid Samsami Khodadad | M. Eslami | H. Rezazadeh | F. Nazari
[1] Hong-qing Zhang,et al. New generalized hyperbolic functions and auto-Bäcklund transformation to find new exact solutions of the (2 + 1)-dimensional NNV equation , 2006 .
[2] Won Sang Chung,et al. Fractional Newton mechanics with conformable fractional derivative , 2015, J. Comput. Appl. Math..
[3] R. Ansari,et al. Exact solutions of nonlinear conformable time-fractional Boussinesq equations using the $$\exp \left( { - \phi \left( \varepsilon \right)} \right)$$exp-ϕε-expansion method , 2017 .
[4] P. Hartman. Ordinary Differential Equations , 1965 .
[5] Shaher Momani,et al. The variational iteration method: An efficient scheme for handling fractional partial differential equations in fluid mechanics , 2009, Comput. Math. Appl..
[6] M. Luo,et al. General conformable fractional derivative and its physical interpretation , 2017, Calcolo.
[7] M. Eslami. An Efficient Method for Solving Fractional Partial Differential Equations , 2014 .
[8] H. Aminikhah,et al. Stability analysis of Hilfer fractional differential systems , 2015 .
[9] Hossein Aminikhah,et al. Approximate analytical solutions of distributed order fractional Riccati differential equation , 2016, Ain Shams Engineering Journal.
[10] Andrew Pickering,et al. Rational solutions for Schwarzian integrable hierarchies , 1998 .
[11] Hossein Aminikhah,et al. Analytical studies for linear periodic systems of fractional order , 2016 .
[12] Ghazala Akram,et al. New traveling wave exact and approximate solutions for the nonlinear Cahn–Allen equation: evolution of a nonconserved quantity , 2017 .
[13] M. Belić,et al. Optical soliton perturbation with fractional-temporal evolution by first integral method with conformable fractional derivatives , 2016 .
[14] Yücel Çenesiz,et al. New solutions for conformable fractional Boussinesq and combined KdV-mKdV equations using Jacobi elliptic function expansion method , 2016 .
[15] Yücel Çenesiz,et al. Functional Variable Method for conformable fractional modified KdV-ZK equation and Maccari system , 2017 .
[16] Xi-Qiang Liu,et al. The secq–tanhq-method and its applications , 2002 .
[18] Hadi Rezazadeh,et al. Sub-equation Method for the Conformable Fractional Generalized Kuramoto-Sivashinsky Equation , 2016 .
[19] M. Eslami,et al. Explicit solutions of nonlinear (2 + 1)-dimensional dispersive long wave equation , 2012 .
[20] Mohd. Salmi Md. Noorani,et al. Homotopy analysis method for solving fractional Lorenz system , 2010 .
[21] I. Hashim,et al. HOMOTOPY ANALYSIS METHOD FOR FRACTIONAL IVPS , 2009 .
[22] Aytac Arikoglu,et al. Solution of fractional differential equations by using differential transform method , 2007 .
[23] M. Kaplan,et al. A simple technique for constructing exact solutions to nonlinear differential equations with conformable fractional derivative , 2017 .
[24] I. Podlubny. Fractional differential equations , 1998 .
[25] M. Sababheh,et al. A new definition of fractional derivative , 2014, J. Comput. Appl. Math..
[26] R. Ansari,et al. Bright and singular soliton solutions of the conformable time-fractional Klein–Gordon equations with different nonlinearities , 2018 .
[27] S. Momani,et al. Application of Variational Iteration Method to Nonlinear Differential Equations of Fractional Order , 2006 .
[28] Changpin Li,et al. Numerical algorithm based on Adomian decomposition for fractional differential equations , 2009, Comput. Math. Appl..
[29] R. Ansari,et al. New exact solutions of nonlinear conformable time-fractional Boussinesq equations using the modified Kudryashov method , 2017 .
[30] Hadi Rezazadeh,et al. Exact solutions to the space–time fractional Schrödinger–Hirota equation and the space–time modified KDV–Zakharov–Kuznetsov equation , 2017 .
[31] B. Ross,et al. Fractional Calculus and Its Applications , 1975 .
[32] Hossein Aminikhah,et al. Sub-equation method for the fractional regularized long-wave equations with conformable fractional derivatives , 2016 .
[33] Hadi Rezazadeh,et al. The first integral method for Wu–Zhang system with conformable time-fractional derivative , 2016 .
[34] R. Hilfer. Applications Of Fractional Calculus In Physics , 2000 .
[35] R. Ansari,et al. Exact solutions of nonlinear conformable time-fractional Boussinesq equations using the exp(-.PHI.(.EPSILON.))-expansion method , 2017 .
[36] S. Momani,et al. Application of generalized differential transform method to multi-order fractional differential equations , 2008 .
[37] Hossein Aminikhah,et al. Stability Analysis of Conformable Fractional Systems , 2017 .
[38] Mostafa Eslami,et al. Exact traveling wave solutions to the fractional coupled nonlinear Schrodinger equations , 2016, Appl. Math. Comput..
[39] Thabet Abdeljawad,et al. On conformable fractional calculus , 2015, J. Comput. Appl. Math..
[40] R. Ansari,et al. Modified Kudryashov method for solving the conformable time-fractional Klein–Gordon equations with quadratic and cubic nonlinearities , 2017 .