6 papers
New copulas and their applications to symmetrizations of bivariate copulas
Mohamed El Maazouz, Ahmed Sani
New copulas, based on perturbation theory, are introduced to clarify a \emph{symmetrization} procedure for asymmetric copulas. We give also some properties of the \emph{symmetrized…
A new characterization of prime Fermat's numbers
Ahmed Bouzalmat, Ahmed Sani
We give a new sufficient condition which allows to test primality of Fermat's numbers. This characterization uses uniquely values at most equal to tested Fermat number. The robustn…
Copulas and Preserver Problems
Ahmed Sani, loubna Karbil
Preserver problems concern the characterization of operators on general spaces that leave invariant some categories of subsets or ratios. The most known in the mathematical literat…
Functional treatment of asymmetric copulas
Ahmed Sani, Loubna Karbil
The concept of asymmetric copulas is revisited and is made more precise. We give a rigorous topological argument for opportunity to define asymmetry measures defined recently by K.…
Boundary values of holomorphic semigroups and fractional integration
Omar EL-Mennaoui, Valentin Keyantuo, Ahmed Sani
The concept of boundary values of holomorphic semigroups in a general Banach space is studied. As an application, we consider the Riemann-Liouville semigroup of integration operato…
Evolution Equations governed by Lipschitz Continuous Non-autonomous Forms
Ahmed Sani, Hafida Laasri
We prove -maximal regularity of linear non-autonomous evolutionary Cauchy problem \begin{equation}\label{eq00}\nonumber \dot{u} (t)+A(t)u(t)=f(t) \hbox{ for }\ \hbox{a.e. t}\i…