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There are many functions which are continuous everywhere but notdifferentiable at some points, like in physical systems of ECG, EEG plots, andcracks pattern and for several other phenomena. Using classical calculus thosefunctions cannot be characterized-especially at the non-differentiable points.To characterize those functions the concept of Fractional Derivative is used.From the analysis it is established that though those functions are unreachableat the non-differentiable points, in classical sense but can be characterizedusing Fractional derivative. In this paper we demonstrate use of modifiedRiemann-Liouvelli derivative by Jumarrie to calculate the fractionalderivatives of the non-differentiable points of a function, which may be onestep to characterize and distinguish and compare several non-differentiablepoints in a system or across the systems. This method we are extending todifferentiate various ECG graphs by quantification of non-differentiablepoints; is useful method in differential diagnostic. Each steps of calculatingthese fractional derivatives is elaborated.

Characterization of non-differentiable points in a function by Fractional derivative of Jumarrie type