Tahani Ali Salman , Fractional Calculus and Non-Differentiable Functions, Research Journal of Applied Sciences, Volume 4,Issue 1, 2009, Pages 26-28, ISSN 1815-932x, rjasci.2009.26.28, (https://makhillpublications.co/view-article.php?doi=rjasci.2009.26.28) Abstract: In this study, we present investigations of certain new clarified and simple proof of the generalized Taylor series, in terms of fractional order derivatives, which is very helpful in approximating non-differentiable functions. Keywords: Fractional Taylor Series (FTS);Rieman-Liouville differentiability;non-differentiable