We consider the equation (\partial_t+ρ(-Δ))f(t,x)=1_ωu(t,x), x∈\mathbbR or \mathbbT. We
prove it is not null-controllable if ρ is analytic on a conic neighborhood of \mathbbR_+ and …

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 …

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 …

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 (.) …

In the process of multimedia teaching, it is common for learners to miss out on important
notes and fail to summarize and organize the course content in a timely manner, resulting in …

This investigation is devoted to control problems that involve fractional derivatives and
nonlinearities. As in any control problem, the goal is to determine control that will govern the …

We consider a terminal control problem for processes governed by a nonlinear system of
fractional ODEs. In order to show existence of the control, we first consider the linear …

Motivated by the porous media equation as well as population dynamics models, we study a
nonlinear fractional system of differential equations and investigate a control problem for …