4 papers · 1 filter
Lower and Upper Bounds for Sums of Eigenvalues of the Fractional-Logarithmic Laplacian
Maha Daoud, Hichem Hajaiej
In this work, we establish lower and upper bounds for sums of the Dirichlet eigenvalues of the fractional-logarithmic Laplacian. A main challenge in such a study comes from the fac…
Fractional elliptic reaction-diffusion systems with coupled gradient terms and different diffusion
Somia Atmani, Kheireddine Biroud, Maha Daoud +1
In this work, we study the existence and nonexistence of nonnegative solutions to a class of nonlocal elliptic systems set in a bounded open subset of . The diffusion…
A class of parabolic reaction-diffusion systems governed by spectral fractional Laplacians : Analysis and numerical simulations
Maha Daoud
In this paper, we prove the global-in-time existence of strong solutions to a class of fractional parabolic reaction-diffusion systems set in a bounded open subset of $\mathbb{R}^N…
A class of fractional parabolic reaction-diffusion systems with control of total mass: theory and numerics
Maha Daoud, El-Haj Laamri, Azeddine Baalal
In this paper, we prove global-in-time existence of strong solutions to a class of fractional parabolic reaction-diffusion systems posed in a bounded domain of . The…