Dergiler / Journal of New Theory / 2019 / Sayı: 28

The New Exact and Approximate Solution for the Nonlinear Fractional Diffusive Predator-Prey system Arising in Mathematical Biology

Sayfa
33–43
Yayın Tarihi
2019-05-07
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The solutions obtained using the suggested methods are invery excellent agreement with the already existing ones and show that this approach can be solved theproblem effectively.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this article two methods, q-Homotopy analysis Method (q-HAM) and Sine-Gordon expansionmethod for solving Fractional Diffusive Predator-Prey system are proposed.
📊
Temel Bulgular & Veri:The fractional derivativeis considered in the conformable sense.
💡
Sonuç & Katkı:The solutions obtained using the suggested methods are invery excellent agreement with the already existing ones and show that this approach can be solved theproblem effectively.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Sine-Gordon Expansion Method · Fractional Diffusive Predator-Prey system · q-Homotopy Analysis Method

Abstract

In this article two methods, q-Homotopy analysis Method (q-HAM) and Sine-Gordon expansionmethod for solving Fractional Diffusive Predator-Prey system are proposed. The fractional derivativeis considered in the conformable sense. The solutions obtained using the suggested methods are invery excellent agreement with the already existing ones and show that this approach can be solved theproblem effectively.

🔖

Bu Makaleye Atıf Yap

KURT, A., ESLAMİ, M., REZAZADEH, H., TASBOZAN, O., ÖZKAN, O. (2019). The New Exact and Approximate Solution for the Nonlinear Fractional Diffusive Predator-Prey system Arising in Mathematical Biology. Journal of New Theory, Sayı: 28, 33–43. https://ajindex.com/articles/681530

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (14)

  1. Liao,S.J. The proposed homotopy analysis technique for the solution of nonlinear problems,Ph.D. Thesis, Shanghai Jiao Tong University, 1992
  2. El-Tawil, M. A. andHuseen, S.N. (2012)The q-Homotopy Analysis Method (qHAM), Inter-national Journal of Applied mathematics and mechanics, 8 (15): 51-75
  3. El-Tawil, M. A. and Huseen, S.N., On Convergence of The q-Homotopy Analysis Method,Int. J. Contemp. Math. Sciences,8(10) 2013, 481 497
  4. Iyiola O. S,(2013) q-Homotopy Analysis Method and Application to FingeroImbibitionphe-nomena in double phase ow through porous media, Asian Journal of CurrentEngineeringand Maths 2.283 - 286
  5. Iyiola O. S., Soh M. E. and Enyi C. D., (2013)Generalized Homotopy Analysis Method(q-HAM) For Solving Foam Drainage Equation of Time Fractional Type, Mathematics inEngineering, Science and Aerospace (MESA), 4( 4),429- 440
  6. Huseen S. N. and Grace S. R., Approximate Solutions of Nonlinear Partial DifferentialEquations by Modi ed q-Homotopy Analysis Method (mq-HAM), Hindawi Publishing Cor-poration, Journal of Applied Mathematics, (2013)Article ID 569674
  7. Yan, C. A (1996). simple transformation for nonlinear waves. Physics Letters A. Volume224, 77-84
  8. Zhen-Ya, Y., Hong-oing, Z., En-Gui, F.: New explicit and travelling wave solutions for aclass of nonlinear evolution equations. Acta Phys. Sin. 48(1)(1999) 15
  9. Yel, G. Baskonus, H. M., Bulut, H. (2017). Novel archetypes of new coupled KonnoOonoequation by using sineGordon expansion method, Opt Quant Electron 49:285
  10. Baskonus, H.M., Sulaiman, T.A., Bulut, H.(2017)On the novel wave behaviors to the cou-pled nonlinear Maccaris system with complex structure. Opt. Int. J. Light Electron Opt.131, 10361043 [11] Zayed, E. M., Amer, Y. A. (2015). The modi ed simplequation method for solving nonlin-ear diffusive predator-prey system and Bogoyavlenskii equations. International Journal ofPhysical Sciences, 10(4), 133-141
  11. Petrovskii, S., Malchow, H., Li, B. L. (2005, April). An exact solution of a diffusive predator-prey system. In Proceedings of the Royal Society of London A: Mathematical, Physical andEngineering Sciences (Vol. 461, No. 2056, pp. 1029-1053). The Royal Society. Chicago
  12. Kot, M. (2001). Elements of mathematical ecology. Cambridge University Press
  13. Khalil, R., Al Horani, M., Yousef, A., Sababheh, M. (2014). A new definition of fractionalderivative, Journal of Computational and Applied Mathematics, 264, 65-70
  14. Khodadad,F. S. Nazari,F. Eslam