On existence and uniqueness of solutions for semilinear fractional wave equations
From MaRDI portal
Publication:520797
DOI10.1515/fca-2017-0006zbMath1362.35323arXiv1510.03478OpenAlexW2962786295MaRDI QIDQ520797
Publication date: 6 April 2017
Published in: Fractional Calculus \ Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.03478
Related Items (60)
Approximate solution for a 2-D fractional differential equation with discrete random noise ⋮ Galerkin Finite Element Approximation for Semilinear Stochastic Time-Tempered Fractional Wave Equations with Multiplicative Gaussian Noise and Additive Fractional Gaussian Noise ⋮ Identifying a time-dependent zeroth-order coefficient in a time-fractional diffusion-wave equation by using the measured data at a boundary point ⋮ Continuity with respect to fractional order of the time fractional diffusion-wave equation ⋮ On time-fractional diffusion equations with space-dependent variable order ⋮ Local existence and nonexistence for fractional in time reaction-diffusion equations and systems with rapidly growing nonlinear terms ⋮ A generalized quasi-boundary value method for recovering a source in a fractional diffusion-wave equation ⋮ On the Cauchy problem for a semilinear fractional elliptic equation ⋮ Optimal control of nonlocal fractional evolution equations in the \(\alpha\)-norm of order \((1,2)\) ⋮ Existence and optimal controls for nonlocal fractional evolution equations of order (1,2) in Banach spaces ⋮ Approximate controllability of fractional neutral evolution systems of hyperbolic type ⋮ Simultaneous determination of different class of parameters for a diffusion equation from a single measurement ⋮ Local existence and nonexistence for fractional in time weakly coupled reaction-diffusion systems ⋮ Global uniqueness in an inverse problem for time fractional diffusion equations ⋮ Well-posedness results for a class of semi-linear super-diffusive equations ⋮ Uniqueness for an inverse coefficient problem for a one-dimensional time-fractional diffusion equation with non-zero boundary conditions ⋮ Existence and regularity results for semilinear stochastic time-tempered fractional wave equations with multiplicative Gaussian noise and additive fractional Gaussian noise ⋮ Existence and uniqueness of a weak solution to fractional single-phase-lag heat equation ⋮ Global existence, asymptotic behavior, and regularity of solutions for time–space fractional Rosenau equations ⋮ Identifying a fractional order and a time-dependent coefficient in a time-fractional diffusion wave equation ⋮ Fractional evolution equation with Cauchy data in \(L^p\) spaces ⋮ An iterative method based on Nesterov acceleration for identifying space-dependent source term in a time-fractional diffusion-wave equation ⋮ Initial‐boundary value problem for a multiterm time‐fractional differential equation and its application to an inverse problem ⋮ An iterative generalized quasi-boundary value regularization method for the backward problem of time fractional diffusion-wave equation in a cylinder ⋮ Uniqueness of inverse source problems for general evolution equations ⋮ Space-dependent variable-order time-fractional wave equation: Existence and uniqueness of its weak solution ⋮ Identify the Robin coefficient in an inhomogeneous time-fractional diffusion-wave equation ⋮ Approximation of mild solutions of a semilinear fractional differential equation with random noise ⋮ On a terminal value problem for stochastic space‐time fractional wave equations ⋮ Equivalence of definitions of solutions for some class of fractional diffusion equations ⋮ Existence and regularity of final value problems for time fractional wave equations ⋮ Approximate controllability for a class of fractional stochastic wave equations ⋮ Some regularization methods for a class of nonlinear fractional evolution equations ⋮ The well-posedness for semilinear time fractional wave equations on \(\mathbb{R}^N\) ⋮ Uniqueness for identifying a space-dependent zeroth-order coefficient in a time-fractional diffusion-wave equation from a single boundary point measurement ⋮ Well-posedness and regularity for fractional damped wave equations ⋮ New results on controllability of fractional evolution systems with order \(\alpha\in (1,2)\) ⋮ On the maximum principle for the multi-term fractional transport equation ⋮ Well-posedness for weak and strong solutions of non-homogeneous initial boundary value problems for fractional diffusion equations ⋮ Stability analysis for discrete time abstract fractional differential equations ⋮ Identify the fractional order and diffusion coefficient in a fractional diffusion wave equation ⋮ Well-posedness results for fractional semi-linear wave equations ⋮ On Cauchy problem for nonlinear fractional differential equation with random discrete data ⋮ The uniqueness of inverse problems for a fractional equation with a single measurement ⋮ On time fractional derivatives in fractional Sobolev spaces and applications to fractional ordinary differential equations ⋮ Reconstruction and stable recovery of source terms and coefficients appearing in diffusion equations ⋮ Determining a time-dependent coefficient in a time-fractional diffusion-wave equation with the Caputo derivative by an additional integral condition ⋮ Identifying a fractional order and a space source term in a time-fractional diffusion-wave equation simultaneously ⋮ On a nonlinear Volterra integrodifferential equation involving fractional derivative with Mittag-Leffler kernel ⋮ Regularity of solutions to space-time fractional wave equations: A PDE approach ⋮ Finite-time attractivity for semilinear tempered fractional wave equations ⋮ On fractional asymptotical regularization of linear ill-posed problems in Hilbert spaces ⋮ On existence and regularity of a terminal value problem for the time fractional diffusion equation ⋮ Uniqueness in determining fractional orders of derivatives and initial values ⋮ Existence and regularity results for terminal value problem for nonlinear fractional wave equations ⋮ RECOVERING A SPACE-DEPENDENT SOURCE TERM IN A TIME-FRACTIONAL DIFFUSION WAVE EQUATION ⋮ Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation ⋮ On the determination of nonlinear terms appearing in semilinear hyperbolic equations ⋮ Initial-boundary value problems for multi-term time-fractional wave equations ⋮ A new representation for the solutions of fractional differential equations with variable coefficients
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Determination of time dependent factors of coefficients in fractional diffusion equations
- Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
- Strichartz type estimates and the well-posedness of an energy critical 2D wave equation in a bounded domain
- The global Cauchy problem for the nonlinear Klein-Gordon equation
- Some uniqueness and existence results for the initial-boundary-value problems for the generalized time-fractional diffusion equation
- Cauchy problem for semilinear wave equation with time-dependent metrics
- Regularity and asymptotic behaviour of the wave equation with a critical nonlinearity
- Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
- Global solutions in the critical Sobolev space for the wave equations with nonlinearity of exponential growth
- Regularity results for nonlinear wave equations
- \(H^{s}\)-global well-posedness for semilinear wave equations
- The Cauchy problem for nonlinear wave equations in the Sobolev space of critical order
- Pseudo almost automorphic solution of semilinear fractional differential equations with the Caputo derivatives
- A priori estimates for the wave equation and some applications
- General time-fractional diffusion equation: some uniqueness and existence results for the initial-boundary-value problems
- Uniqueness in inverse boundary value problems for fractional diffusion equations
- Regularity and Unique Existence of Solution to Linear Diffusion Equation with Multiple Time-Fractional Derivatives
- Global existence for energy critical waves in 3-d domains
- Endpoint Strichartz estimates
- Regularity of solutions of critical and subcritical nonlinear wave equations
- Weak and Yet Weaker Solutions of Semilinear Wave Equations
- Linear response in complex systems: CTRW and the fractional Fokker-Planck equations
This page was built for publication: On existence and uniqueness of solutions for semilinear fractional wave equations