Solvability of linear boundary value problems for subdiffusion equations with memory
type: Item
instance of: scholarly article
title: Solvability of linear boundary value problems for subdiffusion equations with memory
zbMATH Open document ID: 1402.35304
DOI: 10.1216/JIE-2018-30-3-417
author: Vittorino Pata
author: Nataliya V. Vasylyeva
author: Mykola Krasnoschok
published in: Journal of Integral Equations and Applications
publication date: 2018-11-15T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.jiea/1541668120
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35C15
Mathematics Subject Classification ID: 45N05
zbMATH DE Number: 6979947
zbMATH Keywords: materials with memory
zbMATH Keywords: subdiffusion equations
zbMATH Keywords: Caputo derivatives
zbMATH Keywords: coercive estimates
MaRDI profile type: Publication
cites work: Global existence and asymptotic behavior for a time fractional reaction-diffusion system
cites work: An analysis of the Rayleigh-Stokes problem for a generalized second-grade fluid
cites work: Global solutions of abstract semilinear parabolic equations with memory terms
cites work: Schauder estimates for equationswith fractional derivatives
cites work: Quasilinear evolutionary equations and continuous interpolation spaces.
cites work: Global existence for a semilinear parabolic Volterra equation
cites work: An abstract nonlinear Volterra integrodifferential equation
cites work: The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity
cites work: Existence and regularity for a class of integrodifferential equations of parabolic type
cites work: Q3697587
cites work: Exponential stabilization of Volterra integrodifferential equations in Hilbert space
cites work: The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
cites work: Q4327738
cites work: Integrodifferential equation which interpolates the heat equation and the wave equation
cites work: Q5467210
cites work: Existence for a doubly nonlinear Volterra equation
cites work: Asymptotic behavior of a semilinear problem in heat conduction with memory
cites work: Nonlinear Volterra equation of parabolic type due to singular kernels
cites work: On a fractional partial differential equation with dominating linear part
cites work: Applications of fractional calculus in physics
cites work: Decay estimates for time-fractional and other non-local in time subdiffusion equations in \(\mathbb R^d\)
cites work: Q5699297
cites work: Q3472440
cites work: Q3353449
cites work: Solvability in Holder Space of an Initial Boundary Value Problem for the Time-Fractional Diffusion
cites work: On a solvability of a nonlinear fractional reaction-diffusion system in the Hölder spaces
cites work: Linear and quasilinear elliptic equations
cites work: Analytic semigroups and optimal regularity in parabolic problems
cites work: \(C^{\alpha}\)-regularity for non-autonomous linear integrodifferential equations of parabolic type
cites work: Fractals and fractional calculus in continuum mechanics
cites work: The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
cites work: On a class of fractional differential equations in a Sobolev space
cites work: Existence and approximations of solutions to some fractional order functional integral equations
cites work: Hölder continuous solutions for fractional differential equations and maximal regularity
cites work: Maximal ‐regularity for fractional differential equations on the line
cites work: Evolutionary Integral Equations and Applications
cites work: Q5481193
cites work: Q3997763
cites work: Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
cites work: The Rayleigh--Stokes problem for a heated generalized second-grade fluid with fractional derivative model
cites work: Q3326069
cites work: A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates
cites work: Optimal Decay Estimates for Time-Fractional and Other NonLocal Subdiffusion Equations via Energy Methods
cites work: On Parabolic Volterra Equations in Several Space Dimensions
OpenAlex ID: W2899532907
Wikidata QID: Q128972570
description: scientific article; zbMATH DE number 6979947