Abstract
We prove the existence and finite-time attractivity of solutions to semilinear tempered fractional wave equations with sectorial operator and superlinear nonlinearity. Our analysis is based on the α-resolvent theory, the fixed point theory for condensing maps and the local estimates of solutions. An application to a class of partial differential equations will be given.
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© 2018 Diogenes Co., Sofia
Articles in the same Issue
- Frontmatter
- Editorial Note
- FCAA related news, events and books
- Research Paper
- Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions
- Finite-time attractivity for semilinear tempered fractional wave equations
- Geometry of curves with fractional-order tangent vector and Frenet-Serret formulas
- Extrapolating for attaining high precision solutions for fractional partial differential equations
- Time optimal controls for fractional differential systems with Riemann-Liouville derivatives
- Inverses of generators of integrated fractional resolvent operator functions
- A variational approach for boundary value problems for impulsive fractional differential equations
- Infinitely many solutions to boundary value problem for fractional differential equations
- A semi-analytic method for fractional-order ordinary differential equations: Testing results
- Blow-up and global existence of solutions for a time fractional diffusion equation
- A note on the Blaschke-Petkantschin formula, Riesz distributions, and Drury’s identity
- Short Paper
- Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions
Articles in the same Issue
- Frontmatter
- Editorial Note
- FCAA related news, events and books
- Research Paper
- Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions
- Finite-time attractivity for semilinear tempered fractional wave equations
- Geometry of curves with fractional-order tangent vector and Frenet-Serret formulas
- Extrapolating for attaining high precision solutions for fractional partial differential equations
- Time optimal controls for fractional differential systems with Riemann-Liouville derivatives
- Inverses of generators of integrated fractional resolvent operator functions
- A variational approach for boundary value problems for impulsive fractional differential equations
- Infinitely many solutions to boundary value problem for fractional differential equations
- A semi-analytic method for fractional-order ordinary differential equations: Testing results
- Blow-up and global existence of solutions for a time fractional diffusion equation
- A note on the Blaschke-Petkantschin formula, Riesz distributions, and Drury’s identity
- Short Paper
- Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions