An historical perspective on fractional calculus in linear viscoelasticity
نویسندگان
چکیده
منابع مشابه
Fractional Calculus Applied to Model Arterial Viscoelasticity
−− Arterial viscoelasticity can be described using stress-relaxation experiments. To fit these curves, models with springs and dashpots, based on differential equations, were widely studied. However, uniaxial tests in arteries show particular shapes with an initial steep decay and a slow asymptotic relaxation. Recently, fractional order derivatives were used to conceive a new component called s...
متن کاملOn certain fractional calculus operators involving generalized Mittag-Leffler function
The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25]. The considered generalized fractional calculus operators contain the Appell's function $F_3$ [2, p.224] as kernel and are introduced by Saigo and Maeda [23]. The Marichev-Saigo-Maeda fractional calculus operators a...
متن کاملOn Spatial Behavior in Linear Viscoelasticity
Within the framework of linear viscoelasticity this paper deals with the study of spatial behavior of solutions describing harmonic vibrations in a right cylinder of finite extent. Some exponential decay estimates of Saint–Venant type, in terms of the distance from the excited end of the cylinder are obtained from a first-order differential inequality concerning an appropriate measure associate...
متن کاملFractional calculus in hydrologic modeling: A numerical perspective.
Fractional derivatives can be viewed either as handy extensions of classical calculus or, more deeply, as mathematical operators defined by natural phenomena. This follows the view that the diffusion equation is defined as the governing equation of a Brownian motion. In this paper, we emphasize that fractional derivatives come from the governing equations of stable Lévy motion, and that fractio...
متن کاملAn Historical Perspective on Contemporary Linguistic Anthropology
Introduction A recent review of a several popular textbooks in cultural anthropology has confirmed my suspicion that there is a significant gap between what linguistic anthropology means to me and what it means to my colleagues in cultural anthropology (and probably in other sub-fields as well). One easy explanation of this gap would be to say that the authors of these textbooks are simply unin...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fractional Calculus and Applied Analysis
سال: 2012
ISSN: 1314-2224,1311-0454
DOI: 10.2478/s13540-012-0048-6