Conditional optimization problems: fractional order case
type: Item
instance of: scholarly article
title: Conditional optimization problems: fractional order case
zbMATH Open document ID: 1278.90390
author: Abolhassan Razminia
author: Vahid Johari Majd
author: D. Baleanu
published in: Journal of Optimization Theory and Applications
publication date: 2013-05-08T00:00:00Z
review text: This paper considers a dynamical system described by a Riemann-Liouville derivative in which the system memory is in general different with respect to the initial time of Hamiltonian action, a fractional order performance index (objective function) with an arbitrary order and fractional differential and isoperimetric constraints. The optimization problem has been divided into two parts: the first one containing the fractional differential constraints, and the second one dealing with fractional integral constraints. The fractional order integration by parts formula played a key role in both cases in finding the corresponding necessary optimality conditions. A simple illustrative example is provided.
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 6161516
zbMATH Keywords: fractional calculus
zbMATH Keywords: constrained optimization problem
zbMATH Keywords: calculus of variations
reviewed by: Francisco Guerra Vazquez
MaRDI profile type: Publication
full work available at URL: s10957-012-0211-6
OpenAlex ID: W1982144526
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DOI: 10.1007/S10957-012-0211-6
description: scientific article; zbMATH DE number 6161516