  The main goal of this work is to introduce the notion of Hom-M-dendriform
algebras which are the dendriform version of Hom-Malcev algebras. In fact they
are the algebraic structures behind the $\mathcal{O}$-operator of
Hom-pre-Malcev algebras. They also fit into a bigger framework as Hom-Malcev
algebraic analogues of Hom-L-dendriform algebras. Furthermore, we show a
connections between Hom-M-Dendriform algebras and Hom-alternative
quadri-algebras.
