Fractional Roesser problem and its optimization
Volume 101 / 2014
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.