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THE FIRST INTEGRAL METHOD FOR TWO FRACTIONAL NON-LINEAR BIOLOGICAL MODELS

机译：两个分数非线性生物模型的第一积分方法

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摘要

Travelling wave solutions of the space and time fractional models for non-linear blood flow in large vessels and Deoxyribonucleic acid (DNA) molecule dynamics defined in the sense of Jumarie's modified Riemann-Liouville derivative via the first integral method are presented in this study. A fractional complex transformation was applied to turn the fractional biological models into an equivalent integer order ordinary differential equation. The validity of the solutions to the fractional biological models obtained with first integral method was achieved by putting them back into the models. We observed that introducing fractional order to the biological models changes the nature of the solution.
机译：本研究介绍了通过第一积分法定义的大容器和脱氧核糖核酸（DNA）定义的大容器和脱氧核糖核酸（DNA）分子动力学的空间和时间分数模型的行进波解。应用分数复合变换以将分数生物模型转换为等同的整数常微分方程。通过将第一积分法获得的分数生物模型的解决方案的有效性是通过将其恢复到模型中来实现的。我们观察到，向生物模型引入分数顺序改变了解决方案的性质。

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