Fractional Derivatives Moments of the k-th Derivative 26A33
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 7, No 3, (2004), 365p-378p
An expansion formula for fractional derivatives given as in form of a
series involving function and moments of its k-th derivative is derived. The
convergence of the series is proved and an estimate of the reminder is given.
The form of the fractional derivative given here is especially suitable in
deriving restrictions, in a form of internal variable theory, following from
the second law of thermodynamics, when applied to linear viscoelasticity of
fractional derivative type.