In this paper, we used improved -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.
Improved -Expansion Method for the Time-Fractional Biological Population Model and Cahn–Hilliard Equation
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received September 24, 2014; final manuscript received November 22, 2014; published online April 16, 2015. Assoc. Editor: J. A. Tenreiro Machado.
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Baleanu, D., Uğurlu, Y., Inc, M., and Kilic, B. (September 1, 2015). "Improved -Expansion Method for the Time-Fractional Biological Population Model and Cahn–Hilliard Equation." ASME. J. Comput. Nonlinear Dynam. September 2015; 10(5): 051016. https://doi.org/10.1115/1.4029254
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