An artificial neural network‐based method for the optimal control problem governed by the fractional parabolic equation-Reference-Cited by-同舟云学术

An artificial neural network‐based method for the optimal control problem governed by the fractional parabolic equation

Published:2020-12-17 Issue:3 Volume:37 Page:2296-2316
ISSN:0749-159X
Container-title:Numerical Methods for Partial Differential Equations
language:en
Short-container-title:Numer Methods Partial Differential Eq.

Author:

Darehmiraki Majid¹,Rezazadeh Arezou²,Ahmadian Ali³⁴^ORCID

Affiliation:

1. Department of Mathematics Behbahan Khatam Alanbia University of Technology Khouzestan Iran

2. Department of Mathematics University of Qom Qom Iran

3. Institute of IR 4.0 The National University of Malaysia, 43600 UKM, Bangi Malaysia

4. School of Mathematical Sciences, College of Science and Technology Wenzhou‐Kean University Wenzhou China

Publisher

Wiley

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis,Analysis

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/num.22710

Reference23 articles.

1. Solution for fractional distributed optimal control problem by hybrid meshless method

2. Space–time spectral collocation method for one-dimensional PDE constrained optimisation

3. Optimal control of multiphase free boundary problems for nonlinear parabolic equations;Abdulla U. G.;Appl. Math. Opt.,2020

4. U.Langer O.Steinbach F.Troltzsch andH.Yang(2020).Unstructured space‐time finite element methods for optimal control of parabolic equations. arXiv Preprint arXiv:2004.02014.

5. Second-Order Sufficient Optimality Conditions for Optimal Control of Nonsmooth, Semilinear Parabolic Equations

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An adaptive algorithm for numerically solving fractional partial differential equations using Hermite wavelet artificial neural networks;Communications in Nonlinear Science and Numerical Simulation;2024-10

2. A fast Galerkin-spectral method based on discrete Legendre polynomials for solving parabolic differential equation;Computational and Applied Mathematics;2024-07-03

3. First-Optimize-Then-Discretize Strategy for the Parabolic PDE Constrained Optimization Problem With Application to the Reheating Furnace;IEEE Access;2021