Title On time fractional modified Camassa-Holm and Degasperis-Procesi equations by using the Haar wavelet iteration method Type of Research Article Keywords Fractional differential equation, Haar wavelet, Operational matrices, Iterative method, Sylvester equation Abstract The Haar wavelet collocation with iteration technique is applied for solving a class of time-fractional physical equations. The approximate solutions obtained by two dimensional Haar wavelet with iteration technique are compared with those obtained by analytical methods such as Adomian decomposition method (ADM) and variational iteration method (VIM). The results show that the present scheme is effective and appropriate for obtaining the numerical solution of the timefractional Modified Camassa-Holm equation and Time fractional Modified Degasperis-Procesi equation. Researchers Nasser Aghazadeh (First Researcher)، Ghader Ahmadnezhad (Second Researcher)، Shahram Rezapour (Third Researcher)