Generalised connections on affine lie algebroids

We investigate a geometric model for a certain class of first-order differential equations on an affine bundle, called pseudo-SODEs. We mention a generalised version of the concept of connection. Further, if the affine bundle is related to a Lie algebroid, we give a definition for torsion and curvature for such a generalised connection. Next, we show how a pseudo-SODE generates a generalised connection and we characterise this construction by means of the vanishing of torsion.