3 papers
math.AP2026
The regional control of a fractional spatio-temporal SIR model
Sofwah Ahmad
This paper investigates a regional optimal control problem for a nonlinear spatio-temporal epidemiological model involving fractional diffusion on a bounded domain. In this work, w…
math.AP2025
Tools for stability analysis of fractional reaction diffusion systems
Sofwah Ahmad, Szymon Cygan, Grzegorz Karch
The linearization principle states that the stability (or instability) of solutions to a suitable linearization of a nonlinear problem implies the stability (or instability) of sol…
math.AP2025
Asymptotic behavior of solutions of a time-space fractional diffusive Volterra equation
Sofwah Ahmad, Mokhtar Kirane
In this paper, we study the time-space fractional differential equation of the Volterra type: \begin{align*} {D}^α_{0 \vert t} (u) +(-Δ_N)^σu &= u(1+au-bu^2)-au\int_0^t {K}(t-s) u(…