6 papers
Global Solutions of Coupled Nonlocal Parabolic Systems Arising from Reversible Chemical Reactions
Redouane Douaifia, Salem Abdelmalek, Mokhtar Kirane
A class of coupled time-space fractional reaction-diffusion systems derived from reversible chemical reactions over a bounded domain is investigated. Employing mainly an appropriat…
On the global existence and uniform-in-time bounds for three-component reaction-diffusion systems with mass control and polynomial growth
Redouane Douaifia, Salem Abdelmalek, Mokhtar Kirane
We investigate a class of three-component reaction-diffusion systems subject to mass control and a newly introduced structural assumption, referred to as linear intermediate weight…
The Fujita exponent for a heat equation with mixed local and nonlocal nonlinearities on the Heisenberg group
Zineb Sabbagh, Ahmad Z. Fino, Mokhtar Kirane
This article deals with the problems of local and global solvability for a semilinear heat equation on the Heisenberg group involving a mixed local and nonlocal nonlinearity. The c…
Cazenave-Dickstein-Weissler-type extension of Fujita's problem on Heisenberg groups
Mokhtar Kirane, Ahmad Z. Fino, Berikbol T. Torebek +1
This paper examines the critical exponents for the existence of global solutions to the equation \begin{equation*} \begin{array}{ll} \displaystyle u_t-Î_{\mathbb{H}}u=\int_0^t(t-s…
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) +(-Î_N)^Ïu &= u(1+au-bu^2)-au\int_0^t {K}(t-s)…
Decay of mass for a semilinear heat equation with mixed local-nonlocal operators
Mokhtar Kirane, Ahmad Z. Fino, Alaa Ayoub
In this paper, we are concerned with the Cauchy problem for the reaction-diffusion equation posed on , driven by the mixed…