Progress in Fractional Differentiation & Applications

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The use of fractional order models are growing in the research field of modeling. However, there is no attempt to compare different fractional order models. In this paper, a comparison of different fractional model structures is presented with a simulation of various systems. The various model structures cover classical model, classical model with zero, commensurate, and non-commensurate fractional model. The results of fractional model structures are also compared with an integer order model structure. Simulation results show that non-commensurate fractional model is performing better than the other fractional and integer model structures.

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