Araştırma Makalesi

New Wave Solutions of Time Fractional Kadomtsev-Petviashvili Equation Arising In the Evolution of Nonlinear Long Waves of Small Amplitude

Cilt: 12 Sayı: 2 31 Ağustos 2019
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New Wave Solutions of Time Fractional Kadomtsev-Petviashvili Equation Arising In the Evolution of Nonlinear Long Waves of Small Amplitude

Öz

The main aim of this paper is to obtain the travelling wave solutions of fractional Kadomtsev- Petviashvili(KP) Equation where the derivative is in conformable sense. For this aim the sub equation method is used with computer software called Mathematica. Then, solutions are investigated through the graphical representation for different cases of

Kaynakça

  1. [1] Khalil, R., Al Horani, M., Yousef, A., Sababheh, M., (2014), A new definition of fractional derivative, Journal of Computational and Applied Mathematics, 264, 65-70.
  2. [2] Abdeljawad, T., (2015), On conformable fractional calculus. Journal of computational and Applied Mathematics, 279, 57-66.
  3. [3] Kurt, A., Tasbozan, O., (2015)., Approximate Analytical Solution of the Time Fractional Whitham-Broer-Kaup Equation Using the Homotopy Analysis Method. International Jour-nal of Pure and Applied Mathematics, 98(4), 503-510.
  4. [4] Alquran, M., (2014), Analytical solutions of fractional foam drainage equation by residual power series method. Mathematical sciences, 8(4), 153-160.
  5. [5] El-Ajou, A., Arqub, O. A., Zhour, Z. A., Momani, S., (2013), New results on fractional power series: theories and applications. Entropy, 15(12), 5305-5323.
  6. [6] Jaradat, H. M., Al-Shara, S., Khan, Q. J., Alquran, M., Al-Khaled, K., (2016), Analytical solution of time-fractional Drinfeld-Sokolov-Wilson system using residual power series method. IAENG Int. J. Appl. Math, 46(1), 64-70.
  7. [7] Kumar, A., Kumar, S., Singh, M., (2016), Residual power series method for fractional Sharma-Tasso-Olever equation. Communications in Numerical Analysis, 2016(1), 1-10.
  8. [8] Senol, M., Kasmaei, H. D., (2017), On the Comparison of Perturbation-Iteration Algorithm and Residual Power Series Method to Solve Fractional Zakharov-Kuznetsov Equation. arXiv preprint arXiv:1708.07970.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Mühendislik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Ağustos 2019

Gönderilme Tarihi

27 Kasım 2018

Kabul Tarihi

13 Mayıs 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 12 Sayı: 2

Kaynak Göster

APA
Durur, H., Taşbozan, O., Kurt, A., & Şenol, M. (2019). New Wave Solutions of Time Fractional Kadomtsev-Petviashvili Equation Arising In the Evolution of Nonlinear Long Waves of Small Amplitude. Erzincan University Journal of Science and Technology, 12(2), 807-815. https://doi.org/10.18185/erzifbed.488506
AMA
1.Durur H, Taşbozan O, Kurt A, Şenol M. New Wave Solutions of Time Fractional Kadomtsev-Petviashvili Equation Arising In the Evolution of Nonlinear Long Waves of Small Amplitude. Erzincan University Journal of Science and Technology. 2019;12(2):807-815. doi:10.18185/erzifbed.488506
Chicago
Durur, HÜLYA, ORKUN Taşbozan, ALİ Kurt, ve MEHMET Şenol. 2019. “New Wave Solutions of Time Fractional Kadomtsev-Petviashvili Equation Arising In the Evolution of Nonlinear Long Waves of Small Amplitude”. Erzincan University Journal of Science and Technology 12 (2): 807-15. https://doi.org/10.18185/erzifbed.488506.
EndNote
Durur H, Taşbozan O, Kurt A, Şenol M (01 Ağustos 2019) New Wave Solutions of Time Fractional Kadomtsev-Petviashvili Equation Arising In the Evolution of Nonlinear Long Waves of Small Amplitude. Erzincan University Journal of Science and Technology 12 2 807–815.
IEEE
[1]H. Durur, O. Taşbozan, A. Kurt, ve M. Şenol, “New Wave Solutions of Time Fractional Kadomtsev-Petviashvili Equation Arising In the Evolution of Nonlinear Long Waves of Small Amplitude”, Erzincan University Journal of Science and Technology, c. 12, sy 2, ss. 807–815, Ağu. 2019, doi: 10.18185/erzifbed.488506.
ISNAD
Durur, HÜLYA - Taşbozan, ORKUN - Kurt, ALİ - Şenol, MEHMET. “New Wave Solutions of Time Fractional Kadomtsev-Petviashvili Equation Arising In the Evolution of Nonlinear Long Waves of Small Amplitude”. Erzincan University Journal of Science and Technology 12/2 (01 Ağustos 2019): 807-815. https://doi.org/10.18185/erzifbed.488506.
JAMA
1.Durur H, Taşbozan O, Kurt A, Şenol M. New Wave Solutions of Time Fractional Kadomtsev-Petviashvili Equation Arising In the Evolution of Nonlinear Long Waves of Small Amplitude. Erzincan University Journal of Science and Technology. 2019;12:807–815.
MLA
Durur, HÜLYA, vd. “New Wave Solutions of Time Fractional Kadomtsev-Petviashvili Equation Arising In the Evolution of Nonlinear Long Waves of Small Amplitude”. Erzincan University Journal of Science and Technology, c. 12, sy 2, Ağustos 2019, ss. 807-15, doi:10.18185/erzifbed.488506.
Vancouver
1.HÜLYA Durur, ORKUN Taşbozan, ALİ Kurt, MEHMET Şenol. New Wave Solutions of Time Fractional Kadomtsev-Petviashvili Equation Arising In the Evolution of Nonlinear Long Waves of Small Amplitude. Erzincan University Journal of Science and Technology. 01 Ağustos 2019;12(2):807-15. doi:10.18185/erzifbed.488506

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