A Uniform Accuracy High-Order Finite Difference and FEM for Optimal Problem Governed by Time-Fractional Diffusion Equation

J Cao, Z Wang, Z Wang - Fractal and Fractional, 2022 - mdpi.com
In this paper, the time fractional diffusion equations optimal control problem is solved by 3− α
order with uniform accuracy scheme in time and finite element method (FEM) in space. For …

Pontryagin Maximum Principle for Incommensurate Fractional-Orders Optimal Control Problems

F Ndaïrou, DFM Torres - Mathematics, 2023 - mdpi.com
We introduce a new optimal control problem where the controlled dynamical system
depends on multi-order (incommensurate) fractional differential equations. The cost …

Controlo Ótimo Fracionário e Aplicações Biológicas

F Ndaïrou - 2022 - search.proquest.com
Nesta tese, derivamos o Princípio do Máximo de Pontryagin (PMP) para problemas de
controlo ótimo fracionário e analisamos um modelo matemático fracionário para a dinâmica …