Novel Numerical Methods for Optimal Control Problems Involving Fractional-Order Differential Equations

Abstract

This final report summarizes the activities carried out in the period of this project in which we have developed various novel and efficient numerical methods for solving optimal control and optimization problems with fractional-order differential equation constraints. These methods include discretization schemes for fractional differential equations and algorithms for solving the discretized optimal control/optimization problems. Papers and reports containing the theoretical and numerical results are attached in this final report.

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Document Details

Document Type
Technical Report
Publication Date
Mar 14, 2018
Accession Number
AD1048543

Entities

People

  • Song Wang
  • Volker Rehbock

Organizations

  • Curtin University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Computations
  • Computer Science
  • Differential Equations
  • Electronic Mail
  • Engineering
  • Equations
  • Functional Analysis
  • Integral Equations
  • Integrals
  • Mathematical Models
  • Numerical Analysis
  • Operations Research
  • Partial Differential Equations
  • Theorems
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Technical Research and Report Writing.