The structural and melting properties of two dimensional clusters consisting of finite positively charged dust particles are studied. The particles interact through a screened Coulomb potential in an elliptical confinement where Monte Carlo numerical simulation is performed for two different situations. The first one is dealing with constant dust charge and the second one with the charge fluctuation. It is showed that a ground state configuration and a transition from zigzag configuration to linear chain depend on the anisotropic parameter and the number of particles. The effect of charge fluctuation is found to be significant for lower positively charged dust particles. A comparison is made with numerical and experimental results.

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