en عمومى General پژوهشي Research paper <br> &nbsp; <div style="text-align: justify;"><span class="fontstyle0">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.</span><br style=" font-style: normal; font-variant: normal; font-weight: normal; letter-spacing: normal; line-height: normal; orphans: 2; text-align: -webkit-auto; text-indent: 0px; text-transform: none; white-space: normal; widows: 2; word-spacing: 0px; -webkit-text-size-adjust: auto; -webkit-text-stroke-width: 0px; " > &nbsp;</div> Fractional differential equation, Haar wavelet, Operational matrices, Iterative method, Sylvester equation. 55 71 http://ijmsi.ir/browse.php?a_code=A-10-4032-1&slc_lang=en&sid=1 N. Aghazadeh aghazadeh@azaruniv.ac.ir 100319475328460010011 100319475328460010011 No Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran Gh. Ahmadnezhad sh.rezapour@azaruniv.ac.ir 100319475328460010012 100319475328460010012 No Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran Sh. Rezapour rezapourshahram@yahoo.ca 100319475328460010013 100319475328460010013 Yes Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran