Variational formulation and optimal control of fractional diffusion equations with Caputo derivatives
type: Item
instance of: scholarly article
title: Variational formulation and optimal control of fractional diffusion equations with Caputo derivatives
zbMATH Open document ID: 1347.49004
author: Qing Tang
author: Qingxia Ma
published in: Advances in Difference Equations
publication date: 2016-09-02T00:00:00Z
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 49K20
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 35Q93
zbMATH DE Number: 6622275
zbMATH Keywords: fractional diffusion equation
zbMATH Keywords: variational formulation
zbMATH Keywords: optimal control
zbMATH Keywords: distributional weak Caputo derivative
zbMATH Keywords: fractional Sobolev space
MaRDI profile type: Publication
full work available at URL: s13662-015-0593-5
OpenAlex ID: W2168757457
Wikidata QID: Q59434432
cites work: Q5699297
cites work: Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
cites work: Compact sets in the space \(L^ p(0,T;B)\)
cites work: Time-fractional diffusion equation in the fractional Sobolev spaces
cites work: Initial value/boundary value problems for fractional diffusion-wave equations and applications to some inverse problems
cites work: Fractional evolution equations in Banach spaces
cites work: Q3278561
cites work: Q3994914
cites work: Q4649595
cites work: Quasilinear evolutionary equations and continuous interpolation spaces.
cites work: Q5549989
cites work: Sobolev, Besov and Nikolskii fractional spaces: Imbeddings and comparisons for vector valued spaces on an interval
cites work: Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
cites work: Q5803576
cites work: Q5601627
DOI: 10.1186/S13662-015-0593-5
Recommended article: Optimal control of fractional diffusion equation
Recommended article: On a control problem for the subdiffusion equation with a fractional derivative in the sense of Caputo
Recommended article: Optimal control for obstacle problems involving time-dependent variational inequalities with Liouville-Caputo fractional derivative
Recommended article: Q3385496
Recommended article: Optimal control of a nonhomogeneous Dirichlet boundary fractional diffusion equation
Recommended article: Q5271639
Recommended article: Optimal control of a fractional diffusion equation with state constraints
Recommended article: Discretization and analysis of an optimal control of a variable-order time-fractional diffusion equation with pointwise constraints
Recommended article: Numerical solutions of fractional optimal control with Caputo-Katugampola derivative
Recommended article: Fractional optimal control problem for variable-order differential systems
description: scientific article; zbMATH DE number 6622275