Restrictions on parameters in distributed order fractional linear constitutive equations
type: Item
instance of: scholarly article
title: Restrictions on parameters in distributed order fractional linear constitutive equations
zbMATH Open document ID: 1505.74020
author: Marko Janev
author: Teodor Atanacković
author: Stevan Pilipović
published in: Applied Mathematical Modelling
publication date: 2022-12-21T00:00:00Z
Mathematics Subject Classification ID: 74D05
Mathematics Subject Classification ID: 74S40
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7635716
zbMATH Keywords: fractional derivative
zbMATH Keywords: dissipation inequality
zbMATH Keywords: constitutive equations
MaRDI profile type: Publication
full work available at URL: j.apm.2022.05.023
OpenAlex ID: W4280534689
Wikidata QID: Q114208620
cites work: Q5190149
cites work: Encyclopedia of Continuum Mechanics
cites work: Q3141895
cites work: Q4233638
cites work: Q5699297
cites work: Fractional Calculus with Applications in Mechanics
cites work: On the physical meaning of time-domain constitutive models with complex parameters
cites work: Zusammenfassender Bericht. Intrinsic Equations of Spatial Gas Flow
cites work: Q4023641
cites work: Q4841594
cites work: Lineare Systeme und lineare Transformationen. Dem Gedenken an Hermann Ludwig Schmid gewidmet
cites work: On dissipation inequalities and linear viscoelasticity
cites work: Q3998295
cites work: Q4661745
cites work: Q4818253
cites work: Q4438544
cites work: On a distributed derivative model of a viscoelastic body
cites work: Q4183808
cites work: On a nonlinear distributed order fractional differential equation
cites work: A non-linear thermo-viscoelastic rheological model based on fractional derivatives for high temperature creep in concrete
cites work: On the Fractional Calculus Model of Viscoelastic Behavior
cites work: On the thermodynamical restrictions in isothermal deformations of fractional Burgers model
cites work: Chebyshev inequality in function spaces
cites work: On a fractional distributed-order oscillator
cites work: Approximate limit cycles of coupled nonlinear oscillators with fractional derivatives
cites work: Transverse vibrations analysis of a beam with degrading hysteretic behavior by using Euler-Bernoulli beam model
cites work: Q5799604
cites work: Numerical methods for Laplace transform inversion
DOI: 10.1016/J.APM.2022.05.023
Recommended article: Restrictions in a distributed complex fractional order linear constitutive equations of viscoelasticity
Recommended article: Fractional damping through restricted calculus of variations
Recommended article: Fractional relaxation equations of distributed order
Recommended article: Distributed-order fractional constitutive stress-strain relation in wave propagation modeling
Recommended article: On a nonlinear distributed order fractional differential equation
Recommended article: A physical basis for fractional derivatives in constitutive equations
Recommended article: Q5231130
Recommended article: Q5167006
Recommended article: Distributional framework for solving fractional differential equations
Recommended article: Anomalous stability behavior of a properly invariant constitutive equation which generalises fractional derivative models
description: scientific article; zbMATH DE number 7635716