The well-posedness analysis of distributed order fractional diffusion problems on \(\mathbb{R}^N\)
DOI10.1007/S00605-021-01631-8zbMath1489.35304OpenAlexW3202422557MaRDI QIDQ2139199
Publication date: 17 May 2022
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-021-01631-8
Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Initial value problems for second-order parabolic equations (35K15) Semilinear parabolic equations (35K58) Fractional partial differential equations (35R11)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Error estimates for approximations of distributed order time fractional diffusion with nonsmooth data
- Blow-up phenomena for a pseudo-parabolic equation with variable exponents
- Decay estimates for time-fractional and other non-local in time subdiffusion equations in \(\mathbb R^d\)
- Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
- Representation of solutions and large-time behavior for fully nonlocal diffusion equations
- The blow-up and global existence of solutions of Cauchy problems for a time fractional diffusion equation
- Asymptotic behaviour of solutions to some pseudoparabolic equations
- Analyticity of solutions to a distributed order time-fractional diffusion equation and its application to an inverse problem
- Fractional Gagliardo-Nirenberg and Hardy inequalities under Lorentz norms
- An \(L_{q}(L_{p})\)-theory for the time-fractional evolution equations with variable coefficients
- Cauchy problems of semilinear pseudo-parabolic equations
- Decay of solutions to parabolic-type problem with distributed order Caputo derivative
- A note on blow-up of solution for a class of semilinear pseudo-parabolic equations
- Cauchy problems for Keller-Segel type time-space fractional diffusion equation
- On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on \(\mathbb{R}^N\)
- Global existence and blow up of solutions for pseudo-parabolic equation with singular potential
- The well-posedness for fractional nonlinear Schrödinger equations
- Well-posedness and regularity for fractional damped wave equations
- Fractional diffusion equation with distributed-order Caputo derivative
- Asymptotic estimates of solutions to initial-boundary-value problems for distributed order time-fractional diffusion equations
- Stability, instability, and blowup for time fractional and other nonlocal in time semilinear subdiffusion equations
- Existence of nonoscillatory solutions for fractional neutral differential equations
- Distributed order calculus and equations of ultraslow diffusion
- Stochastic model for ultraslow diffusion
- Evolutionary Integral Equations and Applications
- An inverse source problem for distributed order time-fractional diffusion equation
- The nonlinear Rayleigh‐Stokes problem with Riemann‐Liouville fractional derivative
- Initial-boundary value problem for distributed order time-fractional diffusion equations
- Existence and regularity results of a backward problem for fractional diffusion equations
- Optimal Decay Estimates for Time-Fractional and Other NonLocal Subdiffusion Equations via Energy Methods
- Basic Theory of Fractional Differential Equations
This page was built for publication: The well-posedness analysis of distributed order fractional diffusion problems on \(\mathbb{R}^N\)
