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

Ali Kurt; Mostafa Eslami; Hadi Rezazadeh; Orkun Tasbozan; Ozan Özkan

EN

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

Abstract

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

Keywords

Sine-Gordon Expansion Method,Fractional Diffusive Predator-Prey system,q-Homotopy Analysis Method,Conformable Fractional Derivative

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Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Ali Kurt ^*
Türkiye

Mostafa Eslami
Iran

Hadi Rezazadeh
Iran

Orkun Tasbozan
Türkiye

Ozan Özkan
Türkiye

Publication Date

May 7, 2019

Submission Date

February 27, 2019

Acceptance Date

July 13, 2019

Published in Issue

Year 2019 Number: 28

IZ

https://izlik.org/JA47LX45XD

APA

Kurt, A., Eslami, 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, 28, 33-43. https://izlik.org/JA47LX45XD

AMA

1.Kurt A, Eslami M, Rezazadeh H, Tasbozan O, Özkan O. The New Exact and Approximate Solution for the Nonlinear Fractional Diffusive Predator-Prey system Arising in Mathematical Biology. JNT. 2019;(28):33-43. https://izlik.org/JA47LX45XD

Chicago

Kurt, Ali, Mostafa Eslami, Hadi Rezazadeh, Orkun Tasbozan, and Ozan Özkan. 2019. “The New Exact and Approximate Solution for the Nonlinear Fractional Diffusive Predator-Prey System Arising in Mathematical Biology”. Journal of New Theory, nos. 28: 33-43. https://izlik.org/JA47LX45XD.

EndNote

Kurt A, Eslami M, Rezazadeh H, Tasbozan O, Özkan O (May 1, 2019) The New Exact and Approximate Solution for the Nonlinear Fractional Diffusive Predator-Prey system Arising in Mathematical Biology. Journal of New Theory 28 33–43.

IEEE

[1]A. Kurt, M. Eslami, H. Rezazadeh, O. Tasbozan, and O. Özkan, “The New Exact and Approximate Solution for the Nonlinear Fractional Diffusive Predator-Prey system Arising in Mathematical Biology”, JNT, no. 28, pp. 33–43, May 2019, [Online]. Available: https://izlik.org/JA47LX45XD

ISNAD

Kurt, Ali - Eslami, Mostafa - Rezazadeh, Hadi - Tasbozan, Orkun - Özkan, Ozan. “The New Exact and Approximate Solution for the Nonlinear Fractional Diffusive Predator-Prey System Arising in Mathematical Biology”. Journal of New Theory. 28 (May 1, 2019): 33-43. https://izlik.org/JA47LX45XD.

JAMA

1.Kurt A, Eslami M, Rezazadeh H, Tasbozan O, Özkan O. The New Exact and Approximate Solution for the Nonlinear Fractional Diffusive Predator-Prey system Arising in Mathematical Biology. JNT. 2019;:33–43.

MLA

Kurt, Ali, et al. “The New Exact and Approximate Solution for the Nonlinear Fractional Diffusive Predator-Prey System Arising in Mathematical Biology”. Journal of New Theory, no. 28, May 2019, pp. 33-43, https://izlik.org/JA47LX45XD.

Vancouver

1.Ali Kurt, Mostafa Eslami, Hadi Rezazadeh, Orkun Tasbozan, Ozan Özkan. The New Exact and Approximate Solution for the Nonlinear Fractional Diffusive Predator-Prey system Arising in Mathematical Biology. JNT [Internet]. 2019 May 1;(28):33-4. Available from: https://izlik.org/JA47LX45XD