Mathematical and numerical study of existence of bifurcations of the generalized fractional Burgers-Huxley equation

Marwan Alquran; Kamel Al-Khaled; Seenith Sivasundaram; H. M. Jaradat

Mathematical and numerical study of existence of bifurcations of the generalized fractional Burgers-Huxley equation

Marwan Alquran^*, Kamel Al-Khaled, Seenith Sivasundaram, H. M. Jaradat

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

49 Citations (Scopus)

Abstract

The generalized Burger-Huxley equation (gBH) with fractional derivative is considered to provide some characteristics of memory embedded into the system. The modified model is analyzed analytically by using generalized fractional Taylor series and the residual functions. This technique is known as the residual power series method. In some cases of the gBH, we observe that when the value of memory index is close to zero, the solutions bifurcate and produce a wave-like pattern.

Original language	English
Pages (from-to)	235-244
Number of pages	10
Journal	Nonlinear Studies
Volume	24
Issue number	1
Publication status	Published - 2017
Externally published	Yes

Keywords

Approximate solutions
Burger-Huxley equation
Fractional differential equation
Residual power series

ASJC Scopus subject areas

Modelling and Simulation
Applied Mathematics

Cite this

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abstract = "The generalized Burger-Huxley equation (gBH) with fractional derivative is considered to provide some characteristics of memory embedded into the system. The modified model is analyzed analytically by using generalized fractional Taylor series and the residual functions. This technique is known as the residual power series method. In some cases of the gBH, we observe that when the value of memory index is close to zero, the solutions bifurcate and produce a wave-like pattern.",

keywords = "Approximate solutions, Burger-Huxley equation, Fractional differential equation, Residual power series",

author = "Marwan Alquran and Kamel Al-Khaled and Seenith Sivasundaram and Jaradat, {H. M.}",

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T1 - Mathematical and numerical study of existence of bifurcations of the generalized fractional Burgers-Huxley equation

AU - Alquran, Marwan

AU - Al-Khaled, Kamel

AU - Sivasundaram, Seenith

AU - Jaradat, H. M.

N1 - Publisher Copyright: © CSP - Cambridge, UK.

PY - 2017

Y1 - 2017

N2 - The generalized Burger-Huxley equation (gBH) with fractional derivative is considered to provide some characteristics of memory embedded into the system. The modified model is analyzed analytically by using generalized fractional Taylor series and the residual functions. This technique is known as the residual power series method. In some cases of the gBH, we observe that when the value of memory index is close to zero, the solutions bifurcate and produce a wave-like pattern.

AB - The generalized Burger-Huxley equation (gBH) with fractional derivative is considered to provide some characteristics of memory embedded into the system. The modified model is analyzed analytically by using generalized fractional Taylor series and the residual functions. This technique is known as the residual power series method. In some cases of the gBH, we observe that when the value of memory index is close to zero, the solutions bifurcate and produce a wave-like pattern.

KW - Approximate solutions

KW - Burger-Huxley equation

KW - Fractional differential equation

KW - Residual power series

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AN - SCOPUS:85014347892

SN - 1359-8678

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EP - 244

JO - Nonlinear Studies

JF - Nonlinear Studies

IS - 1

ER -

Mathematical and numerical study of existence of bifurcations of the generalized fractional Burgers-Huxley equation

Abstract

Keywords

ASJC Scopus subject areas

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