New results for convergence problem of fractional diffusion equations when order approach to \(1^-\).

DOI10.57262/die036-0506-491OpenAlexW4322490705WikidataQ117217512 ScholiaQ117217512MaRDI QIDQ2697127

Nguyen Huy Tuan, Tomás Caraballo Garrido

Publication date: 18 April 2023

Published in: Differential and Integral Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.57262/die036-0506-491

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fundamental solutions to PDEs (35A08) Fractional derivatives and integrals (26A33) Fractional partial differential equations (35R11)

Related Items

On initial value problem for elliptic equation on the plane under Caputo derivative, On a non-local Sobolev-Galpern-type equation associated with random noise, Numerical study for a class of time fractional diffusion equations using operational matrices based on Hosoya polynomial

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Pathwise solutions of SPDEs driven by Hölder-continuous integrators with exponent larger than \(1/2\) and random dynamical systems
• Perturbation theory for linear operators.
• Self-similarity, symmetries and asymptotic behavior in Morrey spaces for a fractional wave equation.
• A De Giorgi-Nash type theorem for time fractional diffusion equations
• Boundedness of spectral multipliers for Schrödinger operators on open sets
• Mild solutions to time fractional stochastic 2D-Stokes equations with bounded and unbounded delay
• Fractional-in-time semilinear parabolic equations and applications
• Well-posedness and dynamics of fractional FitzHugh-Nagumo systems on \(\mathbb{R}^N\) driven by nonlinear noise
• Mild solutions to the time fractional Navier-Stokes equations in \(\mathbb{R}^N\)
• Random dynamics of fractional nonclassical diffusion equations driven by colored noise
• Well-posedness of Hamilton–Jacobi equations with Caputo’s time fractional derivative
• On the Existence and Uniqueness of Solutions to Time-Dependent Fractional MFG
• On a nonlinear Volterra integrodifferential equation involving fractional derivative with Mittag-Leffler kernel
• On existence and regularity of a terminal value problem for the time fractional diffusion equation
• Blow-up of error estimates in time-fractional initial-boundary value problems
• On the initial value problem for a class of nonlinear biharmonic equation with time-fractional derivative
• Asymptotic behavior of fractional nonclassical diffusion equations driven by nonlinear colored noise on $\mathbb{R}^N$
• Mittag-Leffler Functions, Related Topics and Applications
• Existence and regularity results for terminal value problem for nonlinear fractional wave equations
• The random walk's guide to anomalous diffusion: A fractional dynamics approach