Nonlinear continuous Fornasini-Marchesini model of fractional order with nonzero initial conditions

DOI10.1216/JIE.2020.32.19zbMath1448.35547MaRDI QIDQ779260

Marek Majewski, Rafał Kamocki, Dariusz Idczak

Publication date: 21 July 2020

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1593050448

zbMATH Keywords

continuous dependenceFornasini-Marchesini problempartial mixed fractional derivatives

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

A Gronwall lemma for functions of two variables and its application to partial differential equations of fractional order ⋮ On the existence of optimal solutions to the Lagrange problem governed by a nonlinear Goursat-Darboux problem of fractional order ⋮ Necessary and sufficient optimality conditions for fractional Fornasini-Marchesini model ⋮ Riemann-Liouville derivatives of abstract functions and Sobolev spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability analysis of an optimal control problem for a hyperbolic equation
• A fractional fundamental lemma and a fractional integration by parts formula-applications to critical points of Bolza functionals and to linear boundary value problems
• On the existence of an optimal solution of the Mayer problem governed by 2D continuous counterpart of the Fornasini-Marchesini model
• Helly's principle and its application to an infinite-horizon optimal control problem
• Computing optimal control With a hyperbolic partial differential equation
• On an optimization problem with cost of rapid variation of control
• Bang–bang principle for linear and non-linear Goursat–Darboux problems
• Fractional Roesser problem and its optimization
• Existence of solutions of systems of partial differential equations of fractional order

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