3 papers
math.AP2026
The W-Operator: A Volterra Fractional Time Operator with Sharp Bernstein Threshold and Regularized Memory
Mohamed Wakrim
We introduce a new two-parameter fractional time operator with Volterra structure, denoted by , defined through the Laplace symbol \[ Φ_{α,β}(s) = \frac{s^΅
math.AP2026
Resolvent Approach to Atangana--Baleanu Evolution Equations: Laplace Symbols, Mild Solutions, and Regularity
Mohamed Wakrim
Fractional evolution equations with memory terms are widely used to model anomalous diffusion, viscoelastic response, and hereditary dynamics in physics, biology, and engineering.…
math.AP2026
Rational-Kernel Fractional Evolution Equations with Almost Sectorial Operators: A Resolvent Framework Unifying ABC and W Dynamics
Mohamed Wakrim
We study fractional evolution equations driven by rational-kernel time operators with non-singular memory, including the Atangana-Baleanu-Caputo operator and a generalized W-operat…