46 citations · 349 across the 42 of their papers we have counts for
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Fractional differential equations of a reaction-diffusion SIR model involving the Caputo-fractional time-derivative and a nonlinear diffusion operator
Achraf Zinihi, Moulay Rchid Sidi Ammi, Delfim F. M. Torres
The main aim of this study is to analyze a fractional parabolic SIR epidemic model of a reaction-diffusion, by using the nonlocal Caputo fractional time-fractional derivative and e…
Necessary optimality conditions of a reaction-diffusion SIR model with ABC fractional derivatives
Moulay Rchid Sidi Ammi, Mostafa Tahiri, Delfim F. M. Torres
The main aim of the present work is to study and analyze a reaction-diffusion fractional version of the SIR epidemic mathematical model by means of the non-local and non-singular A…
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…
Noether's Theorem for Control Problems on Time Scales
Agnieszka B. Malinowska, Moulay Rchid Sidi Ammi
We prove a generalization of Noether's theorem for optimal control problems defined on time scales. Particularly, our results can be used for discrete-time, quantum, and continuous…
Optimal Control for a Steady State Dead Oil Isotherm Problem
Moulay Rchid Sidi Ammi, Agnieszka B. Malinowska, Delfim F. M. Torres
We study the optimal control of a steady-state dead oil isotherm problem. The problem is described by a system of nonlinear partial differential equations resulting from the tradit…
Optimal Control of Nonlocal Thermistor Equations
Moulay Rchid Sidi Ammi, Delfim F. M. Torres
We are concerned with the optimal control problem of the well known nonlocal thermistor problem, i.e., in studying the heat transfer in the resistor device whose electrical conduct…