Global existence, asymptotic behavior, and regularity of solutions for time–space fractional Rosenau equations
From MaRDI portal
Publication:6087648
DOI10.1002/mma.7812zbMath1529.35546OpenAlexW3201344204MaRDI QIDQ6087648
Publication date: 12 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.7812
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains
- Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
- On existence and uniqueness of solutions for semilinear fractional wave equations
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- The Cauchy problem for a class of the multidimensional Boussinesq-type equation
- Laplace transform and fractional differential equations
- The Cauchy problem for the Rosenau equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Global existence and asymptotic behavior of solution for the Rosenau equation with hydrodynamical damped term
- The initial-boundary value problems for a class of sixth order nonlinear wave equation
- Global existence and blow up of solutions for pseudo-parabolic equation with singular potential
- Existence and regularity of final value problems for time fractional wave equations
- A new conservative finite difference scheme for the generalized Rosenau-KdV-RLW equation
- Well-posedness and regularity for fractional damped wave equations
- Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term
- Regularity of solutions to space-time fractional wave equations: A PDE approach
- Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
- Global existence and asymptotic behavior of solution for the sixth order Boussinesq equation with damped term
- Global existence and blowup of solutions for the multidimensional sixth-order ``good Boussinesq equation
- Recent progress in the theory of nonlinear diffusion with fractional Laplacian operators
- Blow-up of solutions of nonlinear Sobolev type equations with cubic sources
- Cauchy problem for the multi-dimensional Boussinesq type equation
- On the spectrum of two different fractional operators
- A new conservative high-order accurate difference scheme for the Rosenau equation
- Bifurcation and multiplicity results for fourth-order equations
This page was built for publication: Global existence, asymptotic behavior, and regularity of solutions for time–space fractional Rosenau equations