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The Variation of Parameters Method (VPM) is utilized throughout the research to identify a numerical model for a nonlinear fractional Abel differential equation (FADE). The approach given here is used to solve the initial problem of fractional Abel differential equations. There is no conversion, quantization, disturbance, structural change, or precautionary concerns in the proposed method, although it is easy with numerical solutions. The measured values are graphed and tabulated to be compared with the numerical model.