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

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