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In this paper, a novel operational amplifier (op-amp) model was created by redesigning the internal structure of conventional op-amp (ua741 family) circuit element with the linear dopant drift TiO2 memristor (LDDTM) emulator model. The optimized operating conditions and states of this novel op-amp model were determined. The memristor based op-amp model was used as an amplifier element in the phase shift oscillator (PSO) circuit which is one of the RC oscillators. With the novel new phase shift oscillator, the oscillation settling time, start time, fast Fourier transform (FFT) analysis and their effects on the output parameters are investigated both experimentally and simulated. The new oscillator model novel in this study is evaluated in detail not only in the middle frequency region, but also in the high and low frequency regions. In addition, the efficiency of these circuits has been merged with the experimental circuits, and the accuracy and practicality of the novel op-amp model has been comprehensively studied theoretically and supported by simulation and experimental results. Finally, both experimental and simulation results of the oscillator circuits realized with the novel op-amp model are shown in detail in tables. [ABSTRACT FROM AUTHOR]