Chalcogenide glasses of (Se₉₀Te₁₀)_100-x In_x (x = 0, 3, 6, 9, 11) alloys are prepared by melt quench technique. Differential scanning calorimetry (DSC) technique with different heating rate is used to study the dependence of the glass transition temperature (T_g) and fragility dynamics m on the In content in the Se-Te matrix. It is observed an increase of T_g with increasing In content. The glass transition temperature is differently defined according to the different degree of conversion of the glass. The activation energy of the glass transition (E_g) is evaluated using Kissinger, Moynihan kinetic and the partial area (isoconversional) methods. Analysis of experimental data shows that E_g changes with the degree of conversion from the glassy to the supercooled phase. The variation of the fragility with indium content is attributed to the formation of network structure. The employed theoretical models to describe the kinetics of the glass transition are valid.