Journal
OPTICAL AND QUANTUM ELECTRONICS
Volume 50, Issue 3, Pages -Publisher
SPRINGER
DOI: 10.1007/s11082-018-1388-1
Keywords
Improved tan(1/2 phi(xi))-expansion Method; First integral method; Density-dependent conformable fractional diffusion-reaction equation
Funding
- Amol University of Special Modern Technologies, Amol, Iran
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In this paper, we propose the first integral method (FIM) and the improved tan(1/2 phi(xi))-expansion method (ITEM) for solving the density-dependent conformable fractional diffusion-reaction equation (CFDRE) which is commonly applied in mathematical biology. We received many new exact soliton solutions for the density-dependent CFDRE which are expressed by exponential function, rational function and hyperbolic function forms. The results show that FIM and ITEM are powerful mathematical tools and efficient techniques for solving the fractional nonlinear partial differential equations.
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