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A hierarchy of non-isospectral Ablowitz-Kaup-Newell-Segur (AKNS) equations with self-consistent sources is derived.As a general reduction case,a hierarchy of non-isospectral nonlinear Schr(o)dinger equations (NLSE) with selfconsistent sources is obtained.Moreover,a new non-isospectrai integrable coupling of the AKNS soliton hierarchy with serf-consistent sources is constructed by using the Kronecker product.