分数导数宇宙学
Fractional Derivative Cosmology
摘要：
函数可被微分的程度不必限于整数值。通常大多数物理学的场方程都是二阶的，好奇心会问，如果这只是近似的情况，场方程几乎是二阶的，会发生什么。对于罗伯逊-沃克宇宙学，弗里德曼和守恒方程有一个简单的分数修正。一般来说，类似爱因斯坦的分数引力方程很难定义，因为这需要分数导数几何。什么分数导数几何可能需要简要地看，事实证明，即使是问非常简单的问题，在二维导致模棱两可或棘手的结果。一个二维的线元素，它取决于伽玛函数看。
英文摘要：
The degree by which a function can be differentiated need not be restricted to integer values. Usually most of the field equations of physics are taken to be second order, curiosity asks what happens if this is only approximately the case and the field equations are nearly second order. For Robertson-Walker cosmology there is a simple fractional modification of the Friedman and conservation equations. In general fractional gravitational equations similar to Einstein's are hard to define as this requires fractional derivative geometry. What fractional derivative geometry might entail is briefly looked at and it turns out that even asking very simple questions in two dimensions leads to ambiguous or intractable results. A two dimensional line element which depends on the Gamma-function is looked at.
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