Storage and dissipation of energy in Prabhakar viscoelasticity
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Publication:1657259
DOI10.3390/MATH6020015zbMath1454.74024arXiv1712.09419OpenAlexW2780402795MaRDI QIDQ1657259
Ivano Colombaro, Andrea Giusti, Silvia Vitali
Publication date: 13 August 2018
Published in: Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1712.09419
Seismology (including tsunami modeling), earthquakes (86A15) Fractional derivatives and integrals (26A33) Linear constitutive equations for materials with memory (74D05) Geophysical solid mechanics (74L05)
Related Items (15)
Solving Prabhakar differential equations using Mikusiński's operational calculus ⋮ Mikusiński's operational calculus for Prabhakar fractional calculus ⋮ Computing the matrix Mittag-Leffler function with applications to fractional calculus ⋮ Editorial. Fractional calculus: theory and applications ⋮ A practical guide to Prabhakar fractional calculus ⋮ A catalogue of semigroup properties for integral operators with Fox–Wright kernel functions ⋮ Energy dissipation in viscoelastic Bessel media ⋮ Stability of fractional-order systems with Prabhakar derivatives ⋮ An operational calculus approach to Hilfer-Prabhakar fractional derivatives ⋮ General fractional calculus and Prabhakar's theory ⋮ Nonlocal effects on the dynamic analysis of a viscoelastic nanobeam using a fractional Zener model ⋮ A comment on some new definitions of fractional derivative ⋮ Response functions in linear viscoelastic constitutive equations and related fractional operators ⋮ A system of Cauchy fractional differential equations and new properties of Mittag-Leffler functions with matrix argument ⋮ Existence results for a generalization of the time-fractional diffusion equation with variable coefficients
Uses Software
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