A solution for fractional PDE constrained optimization problems using reduced basis method

2019/10/18 by Arezou Rezazadeh, Rezazadeh, Arezou, Mahmoud Mahmoudi +3
Engineering · Mathematics · #49J20 #74S25 #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis #Numerical methods in engineering #Optimization and Control (math.OC) #math.OC #msc:49J20 #msc:74S25

paper · pdf · doi:10.48550/arxiv.1910.08329

19 pages, 8 figures

arxiv created 2019/10/18 · openalex publication_date 2019/10/18 · arxiv updated 2019/10/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we employ a reduced basis method for solving the PDE constrained optimization problem governed by a fractional parabolic equation with the fractional derivative in time from order beta in (0,1) is defined by Caputo fractional derivative.

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