ON THE WAVE SOLUTIONS OF CONFORMABLE FRACTIONAL EVOLUTION EQUATIONS

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  • Demiray, S. T., Pandir, Y., & Bulut, H. (2016). All exact travelling wave solutions of Hirota equation and Hirota-Maccari system, Optik-International Journal for Light and Electron Optics, 127(4), 1848-1859.
  • Aksoy, E., Kaplan, M., & Bekir, A. (2016). Exponential rational function method for space- time fractional diğerential equations Waves in random and complex media, 26(2), 142-151. [3] Korkmaz, A., Exact solutions of space-time fractional EW and modi…ed EW equations, Chaos, Solitons & Fractals, 2017, 96, 132-138.
  • Guner, O., Korkmaz, A. & Bekir, A., Dark Soliton Solutions of Space-Time Fractional Sharma-Tasso-Olver and Potential Kadomtsev-Petviashvili Equations, Communications in Theoretical Physics, 2017, 67, 182.
  • Guner, O., Bekir, A. & Korkmaz, A., Tanh-type and sech-type solitons for some space-time fractional PDE models, The European Physical Journal Plus, 2017, 132, 92.
  • Ekici, M., Mirzazadeh, M., Eslami, M., Zhou, Q., Moshokoa, S. P., Biswas, A., & Belic, M. (2016). Optical soliton perturbation with fractional-temporal evolution by …rst integral method with conformable fractional derivatives, Optik-International Journal for Light and Electron Optics, 127(22), 10659-10669.
  • Mohyud-Din, S. T., & Bibi, S. (2017). Exact solutions for nonlinear fractional diğerential equations using exponential rational function method, Optical and Quantum Electronics, 49(2), 64.
  • Gurefe, Y., Misirli, E., Sonmezoglu, A., & Ekici, M. (2013). Extended trial equation method to generalized nonlinear partial diğerential equations Applied Mathematics and Computation, 219(10), 5253-5260.
  • Mirzazadeh, M. (2015). Soliton solutions of Davey-Stewartson equation by trial equation method and ansatz approach,Nonlinear Dynamics, 82(4), 1775-1780.
  • Atangana, A. (2016). Exact solution of the time-fractional groundwater *ow equation within a leaky aquifer equation, Journal of Vibration and Control, 22(7), 1749-1756.
  • Esen, A., Yagmurlu, N. M., & Tasbozan, O. (2016). Double exp-function method for mul- tisoliton solutions of the Tzitzeica-Dodd-Bullough equation,Acta Mathematicae Applicatae Sinica, English Series, 32(2), 461-468.
  • Zhang S., Xia T., A generalized F-expansion method and new exact solutions of Konopelchenko-Dubrovsky equations, Applied Mathematics and Computation (2006), 183(2), 1190-1200.
  • Zayed, E. M. E., & Gepreel, K. A., The (G’/G)-expansion method for …nding traveling wave solutions of nonlinear partial diğerential equations in mathematical physics, Journal of Mathematical Physics (2009), 50(1), 013502.
  • Rezazadeh, H., Ziabary B. P., Sub-equation Method for the Conformable Fractional General- ized Kuramoto-Sivashinsky Equation, Computational Research Progress in Applied Science & Engineering, 2(3), 106-109, 2016.
  • Tasbozan, O., Çenesiz, Y., & Kurt, A. (2016). New solutions for conformable fractional Boussinesq and combined KdV-mKdV equations using Jacobi elliptic function expansion method,The European Physical Journal Plus, 131(7), 244.
  • A. Kurt, O. Tasbozan, Y. Cenesiz, Homotopy Analysis Method for Conformable Burgers- Korteweg-de Vries Equation, Bulletin of Mathematical Sciences and Applications, 17, 17-23, 2016
  • Kudryashov, N. A. One method for …nding exact solutions of nonlinear diğerential equations, Communications in Nonlinear Science and Numerical Simulation (2012), 17(6), 2248-2253. [18] Kabir, M. M., Khajeh, A., Abdi Aghdam, E., & Youse… Koma, A., Modi…ed Kudryashov method for …nding exact solitary wave solutions of higher-order nonlinear equations, Mathe- matical methods in the Applied Sciences (2011), 34(2), 213-219.
  • Tandogan, Y. A., Pandir, Y., & Gurefe, Y., Solutions of the nonlinear diğerential equations by use of modi…ed Kudryashov method, Turkish Journal of Mathematics and Computer Science (2013), 1, 1-7.
  • Hosseini, K., Mayeli, P., & Ansari, R. (2017). Modi…ed Kudryashov method for solving the conformable time-fractional Klein-Gordon equations with quadratic and cubic nonlinearities, Optik-International Journal for Light and Electron Optics, 130, 737-742.
  • Hosseini, K., Bekir, A., & Ansari, R. (2016). New exact solutions of the conformable time- fractional Cahn-Allen and Cahn-Hilliard equations using the modi…ed Kudryashov method, Optik-International Journal for Light and Electron Optics
  • Khalil, R., Al Horani, M., Yousef, A., & Sababheh, M., A new de…nition of fractional deriv- ative, Journal of Computational and Applied Mathematics (2014), 264, 65-70.
  • Atangana, A., Baleanu, D., & Alsaedi, A., New properties of conformable derivative, Open Mathematics (2015) , 13(1), 1-10.
  • Çenesiz, Y., Baleanu, D., Kurt, A., & Tasbozan, O., New exact solutions of Burgers’ type equations with conformable derivative,Waves in Random and Complex Media (2016), 1-14. [25] Abdeljawad, T., On conformable fractional calculus, Journal of computational and Applied Mathematics (2015), 279, 57-66.
  • Eslami, M., & Rezazadeh, H., The …rst integral method for Wu-Zhang system with con- formable time-fractional derivative, Calcolo (2016), 53, 475-485.