We study the equivalences and implications between linear (or homogeneous) nth order fractional differential equations (FDEs) integral in spaces L1(a,b) C[a,b] when n≥ 2. establish equivalence of IVP FDE subject to initial condition u(i)(a)=ui for i {0,1,...,n-1} n≥2. The difficulty is that known conditions such first FDEs are not sufficient with In this article we provide additional ensure par...

Abstract We consider a second‐order linear system of ordinary differential equations (ODEs) including random variables. A stochastic Galerkin method yields larger deterministic ODEs. apply model order reduction (MOR) this high‐dimensional dynamical system, where its internal energy represents quadratic quantity interest. investigate the properties MOR with respect to stability, passivity and di...