ENGINEERING ANALYSIS INC.
FRACTIONAL CALCULUS
Since 1985 our personnel have been involved in
Company-funded studies of fractional calculus and its potential
application in a number of areas, including 1/f noise, turbulence, active noise
control, and fractals. A number of technical
papers have been published dealing with our work in this area. Of
special importance has been the development of improved algorithms for the
numerical evaluation of fractional derivatives. As part of such efforts,
we have developed a number of fractional calculus software packages as
follows:
In addition to the software noted, our personnel have developed an
experimental software package for generating fractal curves for which the
fractal dimensions are controlled by means of fractional calculus.
In addition to the development of the programs noted, Dr. Tatom is credited with the identification of
the Basset term as a semiderivative, in the governing equation for the
unsteady motion of an immersed particle. In addition Dr. Tatom has
recently developed and published the definitive explanation of the relationship between fractals and fractional
calculus.
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