A+ CATEGORY SCIENTIFIC UNIT

Fractional Roesser problem and its optimization

Volume 101 / 2014

Rafał Kamocki Banach Center Publications 101 (2014), 93-106 MSC: Primary 26A33; Secondary 49K20, 49J20. DOI: 10.4064/bc101-0-7

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.

Authors

  • Rafał KamockiFaculty of Mathematics and Computer Science
    Chair of Differential Equations and Computer Science
    University of Łódź
    Banacha 22
    90-238 Łódź, Poland
    e-mail

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