Search for: [Description = "In this paper, by differentiating the entropy’s generating function \(i.e., h\(t\) = R SX̄F tX \(x\)dx\) using a Caputo fractional\-order derivative, we derive a generalized non\-logarithmic fractional cumulative residual entropy \(FCRE\). When the order of differentiation α → 1, the ordinary Rao CRE is recovered, which corresponds to the results from first\-order ordinary differentiation. Some properties and examples of the proposed FCRE are also presented."]