The decay rate for a fractional differential equation

DOI10.1016/j.jmaa.2004.01.047zbMath1052.35111OpenAlexW2047019186WikidataQ115346369 ScholiaQ115346369MaRDI QIDQ596725

Nasser-eddine Tatar

Publication date: 10 August 2004

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.01.047

zbMATH Keywords

exponential decayweakly singular kernel

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Initial value problems for second-order hyperbolic equations (35L15) Initial value problems for PDEs with pseudodifferential operators (35S10)

Related Items (12)

Global existence and asymptotic behavior for a fractional differential equation ⋮ Well-posedness and numerical algorithm for the tempered fractional differential equations ⋮ Nonlinear fractional distributed Halanay inequality and application to neural network systems ⋮ Fractional Halanay inequality and application in neural network theory ⋮ Wave equation driven by fractional generalized stochastic processes ⋮ Efficient difference schemes for the Caputo-tempered fractional diffusion equations based on polynomial interpolation ⋮ Breakdown for a Kirchhoff-type beam with a fractional boundary feedback ⋮ Blow-up of solutions for a nonlinear beam equation with fractional feedback ⋮ Nonexistence results for a fractional problem arising in thermal diffusion in fractal media ⋮ Long time behavior for a fractional Picard problem in a Hilbert space ⋮ On the asymptotic stability of a Bresse system with two fractional damping terms: theoretical and numerical analysis ⋮ Numerical algorithms of the two-dimensional Feynman-Kac equation for reaction and diffusion processes

Cites Work

• The Cauchy problem in one-dimensional nonlinear viscoelasticity
• A blow up result for a fractionally damped wave equation
• Frequency domain methods for Volterra equations
• Exponential growth for a fractionally damped wave equation
• Global Existence and Asymptotic Stability for a Nonlinear Integrodifferential Equation Modeling Heat Flow
• A Model Equation for Viscoelasticity with a Strongly Singular Kernel
• On a Nonlinear Hyperbolic Volterra Equation
• On a fractional partial differential equation with dominating linear part
• On the existence of solutions to the equation \(u_{tt}=u_{xxt}+\sigma (u_x)_x\)
• Global stability of a fractional partial differential equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The decay rate for a fractional differential equation