  We propose a novel coupled dark energy model which is assumed to occur as a
q-deformed scalar field and investigate whether it will provide an expanding
universe phase. We consider the q-deformed dark energy as coupled to dark
matter inhomogeneities. We perform the phase-space analysis of the model by
numerical methods and find the late-time accelerated attractor solutions. The
attractor solutions imply that the coupled q-deformed dark energy model is
consistent with the conventional dark energy models satisfying an acceleration
phase of universe. At the end, we compare the cosmological parameters of
deformed and standard dark energy models and interpret the implications.

General Relativity and Quantum Cosmology