  There are many functions which are continuous everywhere but not
differentiable at some points, like in physical systems of ECG, EEG plots, and
cracks pattern and for several other phenomena. Using classical calculus those
functions 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 unreachable
at the non-differentiable points, in classical sense but can be characterized
using Fractional derivative. In this paper we demonstrate use of modified
Riemann-Liouvelli derivative by Jumarrie to calculate the fractional
derivatives of the non-differentiable points of a function, which may be one
step to characterize and distinguish and compare several non-differentiable
points in a system or across the systems. This method we are extending to
differentiate various ECG graphs by quantification of non-differentiable
points; is useful method in differential diagnostic. Each steps of calculating
these fractional derivatives is elaborated.
