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In this paper it is shown analytically and computationally that theMandelbrot set of integer order are particular cases of Julia sets of Caputo slike fractional order. Also the differences between the fractional-orderMandelbrot set and Julia sets from their integer-order variants are revealed.Equipotential lines and external rays of Mandelbrot set and Julia sets offractional order are determined.

Mandelbrot set as a particular Julia set of Fractional Order, echipotential lines and external rays of Mandelbrot and Julia sets of Fractional Order