In this paper, we propose a relatively new semi-analytical technique to approximate the solution of nonlinear multi-order fractional differential equations (FDEs). We present some results concerning to the uniqueness of solution of nonlinear multiorder FDEs and discuss the existence of solution for nonlinear multi-order FDEs in reproducing kernel Hilbert space (RKHS). We further give an error a...

Let B be a Banach space and (H, ‖ · ‖H) be a dense, imbedded subspace. For a ∈ B, its distance to the ball of H with radius R (denoted as I(a, R)) tends to zero when R tends to infinity. We are interested in the rate of this convergence. This approximation problem arose from the study of learning theory, where B is the L2 space and H is a reproducing kernel Hilbert space. The class of elements ...

In statistical analyses, especially those using a multiresponse regression model approach, mathematical that describes functional relationship between more than one response variables and or predictor is often involved. The these expressed by function. the nonparametric (MNR) part of model, estimating function becomes main problem, as there correlation responses such it necessary to include sym...