Approximate controllability from the exterior of space-time fractional diffusive equations
M Warma - SIAM Journal on Control and Optimization, 2019 - SIAM
Let Ω⊂R^N be a bounded domain with a Lipschitz continuous boundary. We study the
controllability of the space-time fractional diffusive equation {\mathbbD_t^αu+ …
controllability of the space-time fractional diffusive equation {\mathbbD_t^αu+ …
Controllability of the one-dimensional fractional heat equation under positivity constraints
Control and numerical approximation of fractional diffusion equations
The aim of this chapter is to give a broad panorama of the control properties of fractional
diffusive models from a numerical analysis and simulation perspective. We do this by …
diffusive models from a numerical analysis and simulation perspective. We do this by …
Controllability properties from the exterior under positivity constraints for a 1-d fractional heat equation
We study the controllability to trajectories, under positivity constraints on the control or the
state, of a one-dimensional heat equation involving the fractional Laplace operator …
state, of a one-dimensional heat equation involving the fractional Laplace operator …
Exponential turnpike property for fractional parabolic equations with non-zero exterior data
We consider averages convergence as the time-horizon goes to infinity of optimal solutions
of time-dependent optimal control problems to optimal solutions of the corresponding …
of time-dependent optimal control problems to optimal solutions of the corresponding …
Exterior controllability properties for a fractional Moore–Gibson–Thompson equation
The three concepts of exact, null and approximate controllabilities are analyzed from the
exterior of the Moore–Gibson–Thompson equation associated with the fractional Laplace …
exterior of the Moore–Gibson–Thompson equation associated with the fractional Laplace …
Multiplicity of solutions for fractional -laplacian equations
R Abita, U Biccari - Journal of Elliptic and Parabolic Equations, 2023 - Springer
In this paper, we deal with the following elliptic-type problem (-Δ) q (·) s (·) u+ λ V u= α up (·)-
2 u+ β uk (·)-2 u in Ω, u= 0 in R n\Ω, where q (·): Ω¯× Ω¯→ R is a measurable function and s …
2 u+ β uk (·)-2 u in Ω, u= 0 in R n\Ω, where q (·): Ω¯× Ω¯→ R is a measurable function and s …
Multiplicity of solutions for fractional -Laplacian equations
A Rahmoune, U Biccari - arxiv preprint arxiv:2103.12600, 2021 - arxiv.org
In this paper, we deal with the following elliptic type problem $$\begin {cases}(-\Delta) _ {q
(.)}^{s (.)} u+\lambda Vu=\alpha\left\vert u\right\vert^{p (.)-2} u+\beta\left\vert u\right\vert^{k (.) …
(.)}^{s (.)} u+\lambda Vu=\alpha\left\vert u\right\vert^{p (.)-2} u+\beta\left\vert u\right\vert^{k (.) …