Zobrazeno 1 - 10
of 435
pro vyhledávání: '"Mainardi Francesco"'
Publikováno v:
Mathematics (MDPI), Vol 2024, No 12, 3426
We compare the classical viscoelastic models due to Becker and Lomnitz with respect to a recent viscoelastic model based on the Lambert W function. We take advantage of this comparison to derive new analytical expressions for the relaxation spectrum
Externí odkaz:
http://arxiv.org/abs/2411.17025
Publikováno v:
Mathematics (MDPI) 2024, No12, 2786/1--13
In the most common literature about fractional calculus, we find that $_{a}D_{t}^{\alpha }f\left( t\right) =\,_{a}I_{t}^{-\alpha }f\left( t\right) $ is assumed implicitly in the tables of fractional integrals and derivatives. However, this is not str
Externí odkaz:
http://arxiv.org/abs/2410.07181
Publikováno v:
Fractal and Fractional 8.8 (2024): 439
In the framework of the theory of linear viscoelasticity, we derive an analytical expression of the relaxation modulus in the Andrade model $G_{\alpha }\left( t\right) $ for the case of rational parameter \mbox{$\alpha =m/n\in (0,1)$} in terms of Mit
Externí odkaz:
http://arxiv.org/abs/2408.06369
Publikováno v:
Integral Transforms and Special Functions; on line 19 November 2024
The formal term-by-term differentiation with respect to parameters is demonstrated to be legitimate for the Mittag-Leffler type functions. The justification of differentiation formulas is made by using the concept of the uniform convergence. This app
Externí odkaz:
http://arxiv.org/abs/2408.05225
Autor:
Luchko Yuri, Mainardi Francesco
Publikováno v:
Open Physics, Vol 11, Iss 6, Pp 666-675 (2013)
Externí odkaz:
https://doaj.org/article/fc14635f0a144343a66a2e84851dfd27
Autor:
González-Santander, Juan Luis1 (AUTHOR) gonzalezmarjuan@uniovi.es, Mainardi, Francesco2 (AUTHOR) francesco.mainardi@bo.infn.it
Publikováno v:
Mathematics (2227-7390). Nov2024, Vol. 12 Issue 21, p3426. 14p.
Autor:
Giraldi, Filippo, Mainardi, Francesco
A generalization of the canonical coherent states of a quantum harmonic oscillator has been performed by requiring the conditions of normalizability, continuity in the label and resolution of the identity operator with a positive weight function. Rel
Externí odkaz:
http://arxiv.org/abs/2210.00908
We consider the time-fractional Cattaneo equation involving the tempered Caputo space-fractional derivative. We find the characteristic function of the related process and we explain the main differences with previous stochastic treatments of the tim
Externí odkaz:
http://arxiv.org/abs/2206.05063
Publikováno v:
Chaos, Solitons and Fractals, Vol 103 (2022) 112544/1-5
In this paper we consider a modified fractional Maxwell model based on the application of Hadamard-type fractional derivatives. The model is physically motivated by the fact that we can take into account at the same time memory effects and the time-d
Externí odkaz:
http://arxiv.org/abs/2204.02783
Autor:
González-Santander, Juan Luis1 (AUTHOR) gonzalezmarjuan@uniovi.es, Mainardi, Francesco2 (AUTHOR) francesco.mainardi@bo.infn.it
Publikováno v:
Mathematics (2227-7390). Sep2024, Vol. 12 Issue 17, p2786. 13p.