Title: A new fractional derivative of variable order with non-singular kernel and fractional differential equations,
Abstract: In this paper, we introduce two new non-singular kernel fractional
derivatives and present a class of other fractional derivatives derived from
the new formulations. We present some important results of uniformly convergent
sequences of continuous functions, in particular the Comparison's principle,
and others that allow, the study of the limitation of fractional nonlinear
differential equations.