Journal ArticleDOI
Linear models of dissipation in anelastic solids
Michele Caputo,Francesco Mainardi +1 more
- Vol. 1, Iss: 2, pp 161-198
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The article was published on 1971-04-01. It has received 726 citations till now. The article focuses on the topics: Dissipation.read more
Citations
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A new identification method of viscoelastic behavior: Application to the generalized Maxwell model
TL;DR: In this paper, the authors focus on the identification of the parameters of the generalized Maxwell model (GMM) and compare the results of three graphical methods, the enclosing curve method, the CRONE method and an original one.
Journal ArticleDOI
A fractional calculus approach to the dynamic optimization of biological reactive systems. Part I: Fractional models for biological reactions
TL;DR: In this paper, the authors proposed a fractional fermentation model and, based on experimental data, a non-linear fitting approach that includes fractional integration is used to obtain the fractional orders and kinetics parameters.
Journal ArticleDOI
The time fractional diffusion-wave equation
TL;DR: In this article, it was shown that the fundamental solutions of the basic Cauchy and signalling problems can be expressed in terms of an auxiliary function M (z; β), where z is the similarity variable.
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On some properties of the Mittag-Leffler function $\mathbf{E_\alpha(-t^\alpha)}$, completely monotone for $\mathbf{t> 0}$ with $\mathbf{0<\alpha<1}$
TL;DR: It is noted that (surprisingly) these two spectra coincide so providing a universal scaling property of this function, not well pointed out in the literature, and the conjecture that the second set provides upper and lower bounds to the Mittag-Leffler function is allowed.
Journal ArticleDOI
Impulsive differential inclusions with fractional order
TL;DR: Some geometric properties of solution sets, Rδ sets, acyclicity and contractibility, corresponding to Aronszajn–Browder–Gupta type results, are obtained.
References
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Journal ArticleDOI
Linear Models of Dissipation whose Q is almost Frequency Independent-II
TL;DR: In this paper, a linear dissipative mechanism whose Q is almost frequency independent over large frequency ranges has been investigated by introducing fractional derivatives in the stressstrain relation, and a rigorous proof of the formulae to be used in obtaining the analytic expression of Q is given.
Book
Stress Waves in Solids
TL;DR: A large and growing number of original papers on both the experimental and the theoretical aspects of stress wave propagation is appearing in the scientific literature, and two international conferences solely concerned with the subject have been held during the last five years as mentioned in this paper.