BibTex RIS Cite

ON THE WAVE SOLUTIONS OF CONFORMABLE FRACTIONAL EVOLUTION EQUATIONS

Year 2018, Volume: 67 Issue: 1, 68 - 79, 01.02.2018
https://doi.org/10.1501/Commua1_0000000831

References

  • 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.
Year 2018, Volume: 67 Issue: 1, 68 - 79, 01.02.2018
https://doi.org/10.1501/Commua1_0000000831

References

  • 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.
There are 23 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Alper Korkmaz This is me

Publication Date February 1, 2018
Published in Issue Year 2018 Volume: 67 Issue: 1

Cite

APA Korkmaz, A. (2018). ON THE WAVE SOLUTIONS OF CONFORMABLE FRACTIONAL EVOLUTION EQUATIONS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 67(1), 68-79. https://doi.org/10.1501/Commua1_0000000831
AMA Korkmaz A. ON THE WAVE SOLUTIONS OF CONFORMABLE FRACTIONAL EVOLUTION EQUATIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2018;67(1):68-79. doi:10.1501/Commua1_0000000831
Chicago Korkmaz, Alper. “ON THE WAVE SOLUTIONS OF CONFORMABLE FRACTIONAL EVOLUTION EQUATIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67, no. 1 (February 2018): 68-79. https://doi.org/10.1501/Commua1_0000000831.
EndNote Korkmaz A (February 1, 2018) ON THE WAVE SOLUTIONS OF CONFORMABLE FRACTIONAL EVOLUTION EQUATIONS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67 1 68–79.
IEEE A. Korkmaz, “ON THE WAVE SOLUTIONS OF CONFORMABLE FRACTIONAL EVOLUTION EQUATIONS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 67, no. 1, pp. 68–79, 2018, doi: 10.1501/Commua1_0000000831.
ISNAD Korkmaz, Alper. “ON THE WAVE SOLUTIONS OF CONFORMABLE FRACTIONAL EVOLUTION EQUATIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 67/1 (February 2018), 68-79. https://doi.org/10.1501/Commua1_0000000831.
JAMA Korkmaz A. ON THE WAVE SOLUTIONS OF CONFORMABLE FRACTIONAL EVOLUTION EQUATIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67:68–79.
MLA Korkmaz, Alper. “ON THE WAVE SOLUTIONS OF CONFORMABLE FRACTIONAL EVOLUTION EQUATIONS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 67, no. 1, 2018, pp. 68-79, doi:10.1501/Commua1_0000000831.
Vancouver Korkmaz A. ON THE WAVE SOLUTIONS OF CONFORMABLE FRACTIONAL EVOLUTION EQUATIONS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2018;67(1):68-79.

Cited By











Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.