%0 Journal Article %T Continuous dependence solutions for Hilfer fractional differential equations with nonlocal conditions %A Abbas, Mohamed I. %J Journal of Nonlinear Sciences and Applications %D 2019 %V 12 %N 9 %@ ISSN 2008-1901 %F Abbas2019 %X We discuss the existence, uniqueness and continuous dependence of solution for a non-autonomous semilinear Hilfer fractional differential equation with nonlocal conditions in the space of weighted continuous functions. By means of the Krasnoselskii's fixed point theorem and the generalized Gronwall's inequality, we establish the desired results. %9 journal article %R 10.22436/jnsa.012.09.02 %U http://dx.doi.org/10.22436/jnsa.012.09.02 %P 573--581