Soliton solutions of nonlinear fractional differential equations with its applications in mathematical physics
暂无分享,去创建一个
[1] B. Ghanbari,et al. A variety of solitary wave solutions to the (2+1)-dimensional bidirectional SK and variable-coefficient SK equations , 2020 .
[2] Adem C. Cevikel,et al. New exact travelling wave solutions of nonlinear physical models , 2009 .
[3] M. Eslami,et al. New solitary wave solutions for the conformable Klein-Gordon equation with quantic nonlinearity , 2020, AIMS Mathematics.
[4] Guy Jumarie,et al. Table of some basic fractional calculus formulae derived from a modified Riemann-Liouville derivative for non-differentiable functions , 2009, Appl. Math. Lett..
[6] O. Agrawal,et al. Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering , 2007 .
[7] Ahmet Bekir,et al. Different methods for (3+1)-dimensional space-time fractional modified KdV-Zakharov-Kuznetsov equation , 2016, Comput. Math. Appl..
[8] S. Momani,et al. Exact optical solutions for the regularized long-wave Kadomtsev-Petviashvili equation , 2020, Physica Scripta.
[9] R. M. Jena,et al. On the solution of time‐fractional dynamical model of Brusselator reaction‐diffusion system arising in chemical reactions , 2020, Mathematical methods in the applied sciences.
[10] M. Mirzazadeh,et al. Application of first integral method to fractional partial differential equations , 2014 .
[11] H. Rezazadeh,et al. New exact solutions for the Kaup-Kupershmidt equation , 2020, AIMS Mathematics.
[12] J. F. Alzaidy. Fractional Sub-Equation Method and its Applications to the Space–Time Fractional Differential Equations in Mathematical Physics , 2013 .
[13] A. Akgül,et al. Abundant new analytical and approximate solutions to the generalized Schamel equation , 2020, Physica Scripta.
[14] A. Bekir,et al. New Solitons and Periodic Solutions for (2+1)-dimensional Davey-Stewartson Equations , 2013 .
[15] K. Miller,et al. An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .
[16] Adem C. Cevikel,et al. Soliton solutions of (2+1)-dimensional time-fractional Zoomeron equation , 2016 .
[17] A. Zerarka,et al. On the functional variable method for finding exact solutions to a class of wave equations , 2010, Appl. Math. Comput..
[18] Adem C. Cevikel,et al. Study on Fractional Differential Equations with Modified Riemann–Liouville Derivative via Kudryashov Method , 2019, International Journal of Nonlinear Sciences and Numerical Simulation.
[19] A. Bekir,et al. Bright and Dark Soliton Solutions of the (2 + 1)-Dimensional Evolution Equations , 2014 .
[20] R. Hilfer. Applications Of Fractional Calculus In Physics , 2000 .
[21] Adem C. Cevikel,et al. A Procedure to Construct Exact Solutions of Nonlinear Fractional Differential Equations , 2014, TheScientificWorldJournal.
[22] Adem C. Cevikel,et al. New solitons and periodic solutions for nonlinear physical models in mathematical physics , 2010 .
[23] N. Taghizadeh,et al. Application of the simplest equation method to some time-fractional partial differential equations , 2013 .
[24] Adem C. Cevikel,et al. A procedure to construct exact solutions of nonlinear evolution equations , 2012 .
[25] N. Yağmurlu,et al. Approximate Analytical Solution to Time-Fractional Damped Burger and Cahn-Allen Equations , 2013 .
[26] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations , 2006 .
[27] T. Kaczorek,et al. Fractional Differential Equations , 2015 .
[28] Adem C. Cevikel,et al. Exact solutions of nonlinear time fractional partial differential equations by sub‐equation method , 2015 .
[29] Adem C. Cevikel,et al. Fractional Complex Transform and exp-Function Methods for Fractional Differential Equations , 2013 .
[30] B. Zheng,et al. Exact solutions for fractional partial differential equations by a new fractional sub-equation method , 2013, Advances in Difference Equations.
[31] Ahmet Bekir,et al. Construction of periodic and solitary wave solutions for the complex nonlinear evolution equations , 2014, J. Frankl. Inst..
[32] Dumitru Baleanu,et al. Generalized exponential rational function method for extended Zakharov–Kuzetsov equation with conformable derivative , 2019, Modern Physics Letters A.
[33] Adem C. Cevikel,et al. New exact solutions of the space-time fractional KDV burgers and nonlinear fractional foam drainage equation , 2017 .
[34] Adem C. Cevikel,et al. A variety of exact solutions for the time fractional Cahn-Allen equation , 2015 .
[35] Ji-Huan He,et al. Fractional Complex Transform for Fractional Differential Equations , 2010 .
[36] Ahmet Bekir,et al. The exp-function method for some time-fractional differential equations , 2017, IEEE/CAA Journal of Automatica Sinica.
[37] B. Ghanbari,et al. New exact wave solutions of the variable-coefficient (1 + 1)-dimensional Benjamin-Bona-Mahony and (2 + 1)-dimensional asymmetric Nizhnik-Novikov-Veselov equations via the generalized exponential rational function method , 2019, The European Physical Journal Plus.
[38] G. Jumarie,et al. Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results , 2006, Comput. Math. Appl..
[39] Hadi Rezazadeh,et al. The first integral method for Wu–Zhang system with conformable time-fractional derivative , 2016 .
[40] Adem C. Cevikel,et al. Solitary wave solutions of two nonlinear physical models by tanh–coth method , 2009 .
[41] B. Ghanbari,et al. Resonant multi-soliton solutions to new (3+1)-dimensional Jimbo–Miwa equations by applying the linear superposition principle , 2019, Nonlinear Dynamics.
[42] Nikolai A. Kudryashov,et al. One method for finding exact solutions of nonlinear differential equations , 2011, 1108.3288.
[43] Adem C. Cevikel,et al. Exact Solutions for Fractional Differential-Difference Equations by (G'/G)-Expansion Method with Modified Riemann-Liouville Derivative , 2016 .