The main focus of this article is to check the applicability of Subdomain method to solve differential, and integrodifferential, equations of fractional order. Differential operators of non-integer orders are considered a generalization of ordinary operators and they are a hot topic of research nowadays. In this work, we have used Caputo's fractional differential operator to form fractional differential and integrodifferential equations. Subdomain method is a domain decomposition method which works in the essence of method of weighted residuals. We have successfully solved a number of numerical examples to demonstrate the applicability of the subdomain method to equations of fractional nature. The accuracy of the solutions has been checked either by comparing with the exact solutions (for benchmark examples) or by illustrating the residue curves.