3.8 Proceedings Paper

Regarding on the Prototype Solutions for the Nonlinear Fractional-Order Biological Population Model

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AMER INST PHYSICS
DOI: 10.1063/1.4952076

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Improved Bernoulli sub-equation function method; Fractional-order biological population model; Exponential function solution; Complex Hyperbolic function solution; Complex trigonometric function solution

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In this study, we have submitted to literature a method newly extended which is called as Improved Bernoulli sub-equation function method based on the Bernoulli Sub-ODE method. The proposed analytical scheme has been expressed with steps. We have obtained some new analytical solutions to the nonlinear fractional-order biological population model by using this technique. Two and three dimensional surfaces of analytical solutions have been drawn by wolfram Mathematica 9. Finally, a conclusion has been submitted by mentioning important acquisitions founded in this study.

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