Fractional Calculus With Applications in Mechanics
From MaRDI portal
Publication:5396421
DOI10.1002/9781118909065zbMath1293.74001OpenAlexW4237903880MaRDI QIDQ5396421
Stevan Pilipović, Bogoljub Stanković, Dusan Zorica, Teodor M. Atanacković
Publication date: 6 February 2014
Full work available at URL: https://doi.org/10.1002/9781118909065
Lua error in Module:PublicationMSCList at line 37: attempt to index local 'msc_result' (a nil value).
Related Items (79)
Micro-local and qualitative analysis of the fractional Zener wave equation ⋮ Wave equation for generalized Zener model containing complex order fractional derivatives ⋮ Convergence analysis of a numerical scheme for two classes of non-linear fractional differential equations ⋮ Impact response of a thin shallow doubly curved linear viscoelastic shell rectangular in plan ⋮ On existence and uniqueness of solution for space-time fractional Zener model ⋮ Lattice fractional calculus ⋮ United lattice fractional integro-differentiation ⋮ Fractional calculus: D'où venons-nous? Que sommes-nous? Où allons-nous? (Contributions to Round Table Discussion held at ICFDA 2016) ⋮ On fractional matrix exponentials and their explicit calculation ⋮ On the lack of controllability of fractional in time ODE and PDE ⋮ Approximate solutions of time and time-space fractional wave equations with variable coefficients ⋮ Analytical and numerical treatment of the heat conduction equation obtained via time-fractional distributed-order heat conduction law ⋮ Positive solutions for generalized Caputo fractional differential equations with integral boundary conditions ⋮ A new approach for the nonlinear fractional optimal control problems with external persistent disturbances ⋮ Effective Acoustic Equations for a Layered Material Described by the Fractional Kelvin-Voigt Model ⋮ Adaptive backstepping output feedback control for a class of nonlinear fractional order systems ⋮ Historical survey: the chronicles of fractional calculus ⋮ Monotone iterative technique for solving finite difference systems of time fractional parabolic equations with initial/periodic conditions ⋮ Fractional Burgers wave equation on a finite domain ⋮ Euler-Lagrange equations for Lagrangians containing complex-order fractional derivatives ⋮ Variational integrators for fractional Birkhoffian systems ⋮ Reflection of thermoelastic waves from the isothermal boundary of a solid half-space under memory-dependent heat transfer ⋮ Numerical approximation of the fractional Cahn-Hilliard equation by operator splitting method ⋮ Influence of non-local diffusion in avascular tumour growth ⋮ Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation ⋮ Distributed-order fractional constitutive stress-strain relation in wave propagation modeling ⋮ Restrictions in a distributed complex fractional order linear constitutive equations of viscoelasticity ⋮ Unnamed Item ⋮ Constitutive fractional modeling ⋮ Generalization of Noether theorem and action principle for non-Lagrangian theories ⋮ Numerical Scheme with Convergence Analysis and Error Estimate for Variable Order Weakly Singular Integro-Differential Equation ⋮ Generalized differential transform method for nonlinear boundary value problem of fractional order ⋮ On exact traveling-wave solutions for local fractional Korteweg-de Vries equation ⋮ Analysis of a Dilute Polymer Model with a Time-Fractional Derivative ⋮ Analysis of models for viscoelastic wave propagation ⋮ General fractional classical mechanics: action principle, Euler-Lagrange equations and Noether theorem ⋮ Solving fractional-order delay integro-differential equations using operational matrix based on fractional-order Euler polynomials ⋮ Time-fractional heat conduction in an infinite plane containing an external crack under heat flux loading ⋮ The first boundary-value problem for a fractional diffusion-wave equation in a non-cylindrical domain ⋮ Fractional operator viscoelastic models in dynamic problems of mechanics of solids: a review ⋮ On the fractional Cornu spirals ⋮ Fractional calculus via Laplace transform and its application in relaxation processes ⋮ Stabilization of solutions to the Cauchy problem for fractional diffusion-wave equation ⋮ Self-organization with memory ⋮ SOLVABILITY OF HYPERBOLIC FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Stability analysis of Beck's column over a fractional-order hereditary foundation ⋮ Fractional calculus of variations with a generalized fractional derivative ⋮ Dynamic response of a viscoelastic beam impacted by a viscoelastic sphere ⋮ Large lattice fractional Fokker–Planck equation ⋮ A new class of \(\psi \)-Caputo fractional differential equations and inclusion ⋮ A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation ⋮ Vertical impedance of a tapered pile in inhomogeneous saturated soil described by fractional viscoelastic model ⋮ A pseudo-spectral method for time distributed order two-sided space fractional differential equations ⋮ Synchronization of fractional fuzzy cellular neural networks with interactions ⋮ Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative ⋮ A linear algorithm for the identification of a weakly singular relaxation kernel using two boundary measurements ⋮ Fractional Burgers models in creep and stress relaxation tests ⋮ Damped vibration of a nonlocal nanobeam resting on viscoelastic foundation: fractional derivative model with two retardation times and fractional parameters ⋮ Analysis of concentration of \(\mathrm{Ca^{2+}} \) arising in astrocytes cell ⋮ Formulation of thermodynamically consistent fractional Burgers models ⋮ Bending analysis of functionally graded nanobeams based on the fractional nonlocal continuum theory by the variational Legendre spectral collocation method ⋮ Viscoelastic body colliding against a rigid wall with and without dry friction effects ⋮ Variational principle of stationary action for fractional nonlocal media and fields ⋮ Fractional-order model for the vibration of a nanobeam influenced by an axial magnetic field and attached nanoparticles ⋮ Hereditariness and non-locality in wave propagation modeling ⋮ A fractional calculus approach to metadamping in phononic crystals and acoustic metamaterials ⋮ Unnamed Item ⋮ On the thermodynamical restrictions in isothermal deformations of fractional Burgers model ⋮ Energy dissipation for hereditary and energy conservation for non-local fractional wave equations ⋮ General non-local electrodynamics: equations and non-local effects ⋮ Multiple positive solutions for fractional three-point boundary value problem with \(p\)-Laplacian operator ⋮ Complex fractional Zener model of wave propagation in \(\mathbb{R}\) ⋮ Macroeconomic models with long dynamic memory: fractional calculus approach ⋮ Distributed-order time-fractional wave equations ⋮ Nonlocal statistical mechanics: general fractional Liouville equations and their solutions ⋮ A Study on Functional Fractional Integro-Differential Equations of Hammerstein type ⋮ Existence and Ulam stability results of a coupled system for terminal value problems involving \(\psi\)-Hilfer fractional operator
This page was built for publication: Fractional Calculus With Applications in Mechanics