Magdy Mohamed Awad Elkarim2017-11-012017-11-012016http://hdl.handle.net/123456789/7023A THESIS SUBMITTED IN PARTIAL FULFILLMENT FOR THE DEGREE OF M.Sc IN MATHEMATICSAbstract In this research we studied the Homotopy perturbation method that used to solve linear, non−linear and partial differential equations. We mainly foucsed on solving differential equations that have fractional order. Then we compared between this method and the Adomian decomposition method and we found that the homotopy perturbation method is useful to solve some mathematical problems.MATHEMATICS