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Journals / 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

Ali KURT
Mostafa ESLAMİ
Hadi REZAZADEH
Orkun TASBOZAN
Ozan ÖZKAN
Pages
33–43
Publication Date
2019-05-07
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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 Key Takeaways

🎯
Objective & Hypothesis:In this article two methods, q-Homotopy analysis Method (q-HAM) and Sine-Gordon expansionmethod for solving Fractional Diffusive Predator-Prey system are proposed.
📊
Key Findings & Data:The fractional derivativeis considered in the conformable sense.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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.

🔖

Cite This Article

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

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