  The concept of dark energy can be a candidate for preventing the
gravitational collapse of compact objects to singularities. According to the
usefulness of gravity's rainbow in UV completion of general relativity (by
providing a new description of spacetime), it can be an excellent option to
study the behavior of compact objects near phase transition regions. In this
work, we obtain a modified Tolman-Openheimer-Volkof (TOV) equation for
anisotropic dark energy as a fluid by solving the field equations in gravity's
rainbow. Next, to compare the results with general relativity, we use a
generalized Tolman-Matese-Whitman mass function to determine the physical
quantities such as energy density, radial pressure, transverse pressure,
gravity profile, and anisotropy factor of the dark energy star. We evaluate the
junction condition and investigate the dynamical stability of dark energy star
thin shell in gravity's rainbow. We also study the energy conditions for the
interior region of this star. We show that the coefficients of gravity's
rainbow can significantly affect this non-singular compact object and modify
the model near the phase transition region.
