Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models
Explore this paper's citation graph
- Type
- book
- Published
- 2010-05-18
- Cited by
- 2,214
- References
- 1
- OpenAlex
- https://openalex.org/W617206983
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:118719247
Keywords
Viscoelasticity, Fractional calculus, Mathematics, Bessel function, Mathematical analysis
References
No references recorded for this paper.
Cited by
- VISCOELASTIC RELAXATION MODULUS CHARACTERIZATION USING PRONY SERIES
- STOCHASTIC SOLUTIONS FOR FRACTIONAL WAVE EQUATIONS
- The Leibniz Rule for Fractional Derivatives Holds with Non-Differentiable Functions
- An explicit mechanical interpretation of Eringen non-local elasticity by means of fractional calculus
- Fractional calculus analysis of the cosmic microwave background
- Transformadas integrais, modelagem fracionária e o sistema de Lotka-Volterra
- Fractional-Order Modeling of High-Pressure Fluid-Dynamic Flows: An Automotive Application
- Fractional order derivative aero-servo-viscoelasticity
- Mittag-Leffler function for discrete fractional modelling
- An asymptotic perturbation solution for a linear oscillator of free damped vibrations in fractal medium described by local fractional derivatives
- Derivada fracionária e as funções de Mittag-Leffler
- Bending test for capturing the vivid behavior of giant reeds, returned through a proper fractional visco-elastic model
- Approximate solutions for fractional differential equation in the unit disk
- Investigations into the mechanics of connective tissue
- The Fractional Sub-Equation Method and Exact Analytical Solutions for Some Nonlinear Fractional PDEs
- Four ways to interpret temporal memory operators in the wave equation
- A linear viscoelasticity problem with a singular memory kernel: an existence and uniqueness result
- Single Tracking Location Acoustic Radiation Force Impulse Viscoelasticity Estimation (STL-VE): A Method for Measuring Tissue Viscoelastic Parameters
- On the ellipsoidal invariant set of fractional order systems subject to actuator saturation
- Admissible frequency domain response functions of dielectrics
Related papers
- The Analysis of Fractional Differential Equations: An Application-Oriented Exposition Using Differential Operators of Caputo Type
- Fractional Dynamics: Applications of Fractional Calculus to Dynamics of Particles, Fields and Media
- Applications Of Fractional Calculus In Physics
- Fractional calculus an introduction for physicists
- Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Linear Models of Dissipation whose Q is almost Frequency Independent-II
- THE RANDOM WALK:S GUIDE TO ANOMALOUS DIFFUSION: A FRACTIONAL DYNAMICS APPROACH
- Recent history of fractional calculus