%0 Journal Article %T Existence of deviating fractional differential equation %A Ibrahim %A Rabha W %J Cubo (Temuco) %D 2012 %I Scientific Electronic Library Online %R 10.4067/S0719-06462012000300009 %X in this paper we shall establish sufficient conditions for the existence of solutions of a class of fractional differential equation (cauchy type ) and its solvability in a subset of the banach space. the main tool used in our study is the non-expansive operator technique. the non integer case is taken in sense of riemann liouville fractional operators. applications are illustrated. %K fractional calculus %K fractional differential equation %K cauchy equation %K riemann-liouville fractional operators %K volterra integral equation %K non-expansive mapping %K iterative differential equation. %U http://www.scielo.cl/scielo.php?script=sci_abstract&pid=S0719-06462012000300009&lng=en&nrm=iso&tlng=en