In this paper we have studied Left Ventricular Hypertrophy (LVH) and Right Ventricular Hypertrophy (RVH) of heart from Electro Cardiogram (ECG) Graph using fractional calculus. An ECG is a rough or unreachable curve which is continuous everywhere but non-differentiable at some points or all points where classical calculus fails. Our purpose of this paper is to find left and right fractional derivatives at those non-differentiable points and then predict LVH and RVH by calculating the phase transition values (absolute difference of left and right fractional derivatives). Fractal dimension and Hurst exponents of V1, V2, V5 and V6 leads of the ECG’s have been calculated for both problematic and normal ECG’s. All such measures will help doctors to diagnose LVH and RVH from ECG in more accurate manner as compared to the other techniques.