2Basic of Fractional Operators
2.1 INTRODUCTION
The fractal derivative, also known as the Hausdorff derivative, is a non-Newtonian modification of the derivative that deals with the measurement of fractals as they are specified in fractal geometry. It is used in applied mathematics and mathematical analysis. For the study of anomalous diffusion, where conventional methods fall short of taking into account the media's fractal character, fractal derivatives were developed. The scale of a fractal measure t is determined by t. In contrast to the similarly applied fractional derivative, such a derivative is local. Such processes are present in many real-world phenomena, including turbulence, porous media, aquifers, ...
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