  The subject of this note is the mixed Katugampola fractional integral of a
bivariate function defined on a rectangular region in the Cartesian plane. This
is a natural extension of the Katugampola fractional integral of a univariate
function - a concept well-received in the recent literature on fractional
calculus and its applications. It is shown that the mixed Katugampola
fractional integral of a prescribed bivariate function preserves properties
such as boundedness, continuity and bounded variation of the function.
Furthermore, we estimate fractal dimension of the graph of the mixed
Katugampola integral of a continuous bivariate function. Some examples for
bivariate functions that are not of bounded variation but with graphs having
box dimension $2$ are constructed. The findings in the current note may be
viewed as a sequel to our work reported in [Appl. Math. Comp., 339, 2018, pp.
220-230].
