  The pathway model for the real scalar variable case is re-explored and its
connections to fractional integrals, solutions of fractional differential
equations, Tsallis statistics and superstatistics in statistical mechanics,
reaction-rate probability integral, Kraetzel transform, and pathway transform
are explored. It is shown that the common thread in these connections is the
H-function representations. The pathway parameter is shown to be connected to
the fractional order in fractional integrals and fractional differential
equations.
