Rr. Nigmatullin et Ye. Ryabov, COLE-DAVIDSON DIELECTRIC-RELAXATION AS A SELF-SIMILAR RELAXATION PROCESS, Physics of the solid state, 39(1), 1997, pp. 87-90
An effort has been undertaken to understand the nature of one type of
non-exponential relaxation, namely Cole-Davidson relaxation. Toward th
is end, a model of relaxation as a self-similar process is proposed. A
n equation containing operators of fractional integration and differen
tiation is obtained and solved, which the relaxation function obeys in
this case. (C) 1997 American Institute of Physics.