nDS '13
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On a fractional continuous counterpart of Fornasini–Marchesini model

Conference: nDS '13 - Proceedings of the 8th International Workshop on Multidimensional Systems
09/09/2013 - 09/11/2013 at Erlangen, Deutschland

Proceedings: nDS '13

Pages: 5Language: englishTyp: PDF

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Authors:
Idczak, Dariusz; Kamocki, Rafal; Majewski, Marek (Faculty of Mathematic and Computer Science University of Lodz, ul. S. Banacha 22, 90-238 Lodz, Poland)

Abstract:
In the paper, we consider a fractional continuous Fornasini–Marchesini problem. We characterize functions of two variables possessing a mixed fractional partial derivative which involves the proposed model of Fornasini–Marchesini. The main results are theorems on the existence and continuous dependence of solutions on controls for the aforementioned system.