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Mittag-Leffler stability for a fractional Euler-Bernoulli problem (Q2137557)

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Language	Label	Description	Also known as
English	Mittag-Leffler stability for a fractional Euler-Bernoulli problem	scientific article

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scholarly article

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Mittag-Leffler stability for a fractional Euler-Bernoulli problem (English)

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Chaos, Solitons and Fractals

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publication date

16 May 2022

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zbMATH Keywords

Caputo fractional derivative

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Mittag-Leffler stability

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multiplier technique

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Nasser-eddine Tatar

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.chaos.2021.111077

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Boundary value problems for the diffusion equation of the variable order in differential and difference settings

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Fractional Calculus with Applications in Mechanics

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A diffusion wave equation with two fractional derivatives of different order

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Existence and decay of solutions of a viscoelastic equation with a nonlinear source

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Existence and uniform decay for the Euler-Bernoulli viscoelastic equation with nonlocal boundary dissipation

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Existence and uniform decay rates for viscoelastic problems with nonlinear boundary damping.

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Analytical solution for the time-fractional telegraph equation by the method of separating variables

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On trajectory and global attractors for semilinear heat equations with fading memory

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Fractional resolvent operator with α ∈ (0,1) and applications

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Continuation and maximal regularity of an arbitrary (fractional) order evolutionary integro-differential equation

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Global existence and uniform energy decay rates for the semilinear parabolic equation with a memory term and mixed boundary condition

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Differentiation to fractional orders and the fractional telegraph equation

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Asymptotic behavior of a nonlinear hyperbolic heat equation with memory

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Mittag-Leffler Functions, Related Topics and Applications

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Fractional Calculus

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GENERAL ENERGY DECAY FOR A DEGENERATE VISCOELASTIC PETROVSKY-TYPE PLATE EQUATION WITH BOUNDARY FEEDBACK

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General decay rate estimates for a semilinear parabolic equation with memory term and mixed boundary condition

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On asymptotic behavior and blow-up of solutions for a nonlinear viscoelastic Petrovsky equation with positive initial energy

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General decay of solutions of a viscoelastic equation

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Stabilization of semilinear heat equations, with fading memory, by boundary feedbacks

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Viscoelastic plate equation with boundary feedback

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Exponential stability in linear viscoelasticity

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Bounded mild solutions to fractional integro-differential equations in Banach spaces

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Fractional thermoelasticity

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Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media

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Polynomial stability without polynomial decay of the relaxation function

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Nonexistence results for a fractional problem arising in thermal diffusion in fractal media

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How far can relaxation functions be increasing in viscoelastic problems?

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Exponential decay for a viscoelastic problem with a singular kernel

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On a large class of kernels yielding exponential stability in viscoelasticity

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Arbitrary decays in linear viscoelasticity

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A new class of kernels leading to an arbitrary decay in viscoelasticity

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Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability

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Identifiers

zbMATH Open document ID

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10.1016/j.chaos.2021.111077

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2137557

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