George R.Brown School of Engineering University 77005;
Institute for Risk&Reliability University Hannover 30167;
College of Civil Engineering University 200092;
State Key Laboratory of Disaster Reduction in Civil Engineering University 200092;
Globally-evolving-based generalized density; evolution equation(GE-GDEE); Linear fractional differential system; Non-Markovian system; Analytical intrinsic drift coefficient; Dimension reduction;