Improved (G'/G)-Expansion Method for the Time-Fractional Biological Population Model and Cahn–Hilliard Equation-Reference-Cited by-同舟云学术

Improved (G'/G)-Expansion Method for the Time-Fractional Biological Population Model and Cahn–Hilliard Equation

Published:2015-09-01 Issue:5 Volume:10 Page:
ISSN:1555-1415
Container-title:Journal of Computational and Nonlinear Dynamics
language:en
Short-container-title:

Author:

Baleanu Dumitru¹²,Uğurlu Yavuz³,Inc Mustafa³,Kilic Bulent³

Affiliation:

1. Department of Mathematics, Çankaya University, Öğretmenler Cad. 14, Balgat 06530, Ankara, Turkey

2. Institute of Space Sciences, Magurele-Bucharest, Romania e-mail:

3. Department of Mathematics, Science Faculty, Fırat University, Elazığ 23119, Turkey e-mail:

Abstract

In this paper, we used improved (G'/G)-expansion method to reach the solutions for some nonlinear time-fractional partial differential equations (fPDE). The fPDE is reduced to an ordinary differential equation (ODE) by means of Riemann–Liouille derivative and a basic variable transformation. Various types of functions are obtained for the time-fractional biological population model (fBPM) and Cahn–Hilliard (fCH) equation.

Publisher

ASME International

Subject

Applied Mathematics,Mechanical Engineering,Control and Systems Engineering,Applied Mathematics,Mechanical Engineering,Control and Systems Engineering

Link

http://asmedigitalcollection.asme.org/computationalnonlinear/article-pdf/doi/10.1115/1.4029254/6106027/cnd_010_05_051016.pdf

Reference30 articles.

1. Exact Solitary Wave Solutions of Nonlinear Evolution and Wave Equations Using a Direct Algebraic Method;J. Phys. A,1986

2. Complete Integrability and the Miura Transformation of a Coupled KdV Equation;Appl. Math. Lett.,2010

3. Darboux Transformation and Explicit Solutions for the Satsuma–Hirota Coupled Equation;Appl. Math. Comput.,2010

4. The Cole–Hopf Transformation and Improved tanh–coth Method Applied to New Integrable System (KdV6);Appl. Math. Comput.,2008

5. The Homogeneous Balance Method, Lax Pair, Hirota Transformation and a General Fifth-Order KdV Equation;Chaos, Solitons Fractals,2002

Cited by 38 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Traveling Wave Solutions of Some CFD Reaction Duffing and Diffusion–Reaction Equations Arising in Mathematical Physics;International Journal of Applied and Computational Mathematics;2024-05-07

2. Applications of the Simplest Equation Procedure to Some Fractional Order Differential Equations in Mathematical Physics;International Journal of Applied and Computational Mathematics;2024-03-08

3. The kink solitary wave and numerical solutions for conformable non-linear space–time fractional differential equations;Results in Physics;2024-03

4. Exact solutions of the fractional resonant nonlinear Schrödinger equation;Optical and Quantum Electronics;2023-10-17

5. Approximate solution of the fractional differential equation via the natural decomposition method;Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería;2023