A critical hurdle of a nonlinear vibration system in fractal space is the inefficiency modelling system. Specifically, differential equation models cannot elucidate effect porosity size and distribution periodic property. This paper establishes fractal-differential model for this purpose, Duffing-Van der Pol oscillator (DVdP) with two-scale derivatives forced term considered as an example to re...

Cλ-extended oscillator algebras are realized as generalized deformed oscillator algebras. For λ = 3, the spectrum of the corresponding bosonic oscillator Hamiltonian is shown to strongly depend on the algebra parameters. A connection with cyclic shape invariant potentials is noted. A bosonization of PSSQM of order two is obtained. PACS: 03.65.Fd