论文标题
使用最后一步修改技术使用分数衍生物扩展Friedmann方程：物质主导的情况以加速范围扩展
Extending Friedmann equations using fractional derivatives using a Last Step Modification technique: the case of a matter dominated accelerated expanding Universe
论文作者
论文摘要
我们提出了一个玩具模型，用于使用分数衍生物扩展相对论宇宙学的弗里德曼方程。我们通过替换整数衍生物来做到这一点，在一些众所周知的宇宙学结果中，分数导数将其作为自由参数。所有这些目的是解释当前观察到的宇宙加速度。我们应用了分数演算的最后一步修改技术来构建一些有用的宇宙学分数方程。 sn ia数据的未知分数衍生物顺序和分数commographic参数的拟合表明，这种简单的结构可以解释宇宙的当前加速膨胀，而无需使用米尔格罗姆的加速常数具有类似mond的行为的暗能量，从而将光线降低到对暗物质成分的不必要。
We present a toy model for extending the Friedmann equations of relativistic cosmology using fractional derivatives. We do this by replacing the integer derivatives, in a few well-known cosmological results with fractional derivatives leaving their order as a free parameter. All this with the intention to explain the current observed acceleration of the Universe. We apply the Last Step Modification technique of fractional calculus to construct some useful fractional equations of cosmology. The fits of the unknown fractional derivative order and the fractional cosmographic parameters to SN Ia data shows that this simple construction can explain the current accelerated expansion of the Universe without the use of a dark energy component with a MOND-like behaviour using Milgrom's acceleration constant which sheds light into to the non-necessity of a dark matter component as well.
