  Quantum fluctuation effects have an irrefutable role in high energy physics.
Such fluctuation can be often regarded as a correction of infrared (IR) limit.
In this paper, the effects of the first-order correction of entropy, caused by
thermal fluctuation, on the thermodynamics of charged black holes in gravity's
rainbow will be discussed. It will be shown that such correction has profound
contributions to high energy limit of thermodynamical quantities, stability
conditions of the black holes and interestingly has no effect on
thermodynamical phase transitions. The coupling between gravity's rainbow and
the first-order correction will be addressed. In addition, the measurement of
entropy as a function of fluctuation of temperature will be done and it will be
shown that de Sitter (dS) case enforces an upper limit on the values of
temperature and produces cyclic like diagrams. While for the anti-de Sitter
(AdS) case, a lower limit on the entropy is provided and although for special
cases a cyclic like behavior could be observed, no upper or lower limit exists
for the temperature. In addition, a comparison between non-correction and
correction included cases on the thermodynamical properties of solutions will
also be discussed and the effects of the first-order correction will be
highlighted. It will be shown that the first-order correction provides the
solutions with larger classes of thermal stability conditions which may result
into existence of a larger number of thermodynamical structures for the black
holes.
