Abstract : The aim of the proposed study is to develop a new hybrid method using Haar scale 3 wavelets for the investigation of fractional Models governed by the Fractional differential equations. Haar scale 3 wavelets are used to estimate the solution by series approximation. To handle the fractional derivatives and integrals in the problems, Caputo sense definition of derivatives and Riemann-Liouville definitions of integrals are used. Numerical solution has been produced for five different fractional differential equations to establish the competency of the proposed method.