چکیده
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Using the non-extensive Tsallis entropy and the holographic hypothesis, we propose a
new dark energy (DE) model with timescale as infrared (IR) cutoff. Considering the age
of the Universe as well as the conformal time as IR cutoffs, we investigate the cosmological
consequences of the proposed DE models and study the evolution of the Universe
filled by a pressureless matter and the obtained DE candidates. We find that although
this model can describe the late time acceleration and the density, deceleration and the
equation of state parameters show satisfactory behavior by themselves, these models are
classically unstable unless the interaction between the two dark sectors of the Universe
is taken into account. In addition, the results of the existence of a mutual interaction
between the cosmos sectors are also addressed. We find out that the interacting models
are stable at the classical level which is in contrast to the original interacting agegraphic
dark energy models which are classically unstable [K. Y. Kim, H. W. Lee and Y. S.
Myung, Phys. Lett. B 660, 118 (2008)].
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