Fractional Roesser problem and its optimization

Rafał Kamocki

Banach Center Publications (2014)

  • Volume: 101, Issue: 1, page 93-106
  • ISSN: 0137-6934

Abstract

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In the paper, a fractional continuous Roesser model is considered. Existence and uniqueness of a solution and continuous dependence of solutions on controls of the nonlinear model are investigated. Next, a theorem on the existence of an optimal solution for linear model with variable coefficients is proved.

How to cite

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Rafał Kamocki. "Fractional Roesser problem and its optimization." Banach Center Publications 101.1 (2014): 93-106. <http://eudml.org/doc/282449>.

@article{RafałKamocki2014,
abstract = {In the paper, a fractional continuous Roesser model is considered. Existence and uniqueness of a solution and continuous dependence of solutions on controls of the nonlinear model are investigated. Next, a theorem on the existence of an optimal solution for linear model with variable coefficients is proved.},
author = {Rafał Kamocki},
journal = {Banach Center Publications},
keywords = {Riemann-Liouville integral; Riemann-Liouville derivative; fractional Roesser model; optimal control problem},
language = {eng},
number = {1},
pages = {93-106},
title = {Fractional Roesser problem and its optimization},
url = {http://eudml.org/doc/282449},
volume = {101},
year = {2014},
}

TY - JOUR
AU - Rafał Kamocki
TI - Fractional Roesser problem and its optimization
JO - Banach Center Publications
PY - 2014
VL - 101
IS - 1
SP - 93
EP - 106
AB - In the paper, a fractional continuous Roesser model is considered. Existence and uniqueness of a solution and continuous dependence of solutions on controls of the nonlinear model are investigated. Next, a theorem on the existence of an optimal solution for linear model with variable coefficients is proved.
LA - eng
KW - Riemann-Liouville integral; Riemann-Liouville derivative; fractional Roesser model; optimal control problem
UR - http://eudml.org/doc/282449
ER -

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