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math.AP2019★ 46 cited
A Finite Element Approximation for a Class of Caputo Time-Fractional Diffusion Equations
Moulay Rchid Sidi Ammi, Ismail Jamiai, Delfim F. M. Torres
We develop a fully discrete scheme for time-fractional diffusion equations by using a finite difference method in time and a finite element method in space. The fractional derivati…
math.OC2019★ 14 cited
Optimal control of a nonlocal thermistor problem with ABC fractional time derivatives
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We study an optimal control problem associated to a fractional nonlocal thermistor problem involving the ABC (Atangana-Baleanu-Caputo) fractional time derivative. We first prove th…