scientific article

zbMath1436.49028MaRDI QIDQ3176404

Gaber Mohamed Bahaa

Publication date: 20 July 2018

Full work available at URL: http://online.watsci.org/fulltext_a_pdf/2018v25/v25n3a-pdf/3.pdf

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

fractional optimal controlWeierstrass theoremtime optimal control problemsconical approximationsboundary optimality conditionsNeumann parabolic equations, Dubovitskii-Milyutin theorem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05)

Cites Work

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• Higher order fractional variational optimal control problems with delayed arguments
• Optimal control of fractional diffusion equation
• Optimal control of a fractional diffusion equation with state constraints
• Fractional Hamiltonian formalism within Caputo's derivative
• Optimal control of a system governed by a parabolic equation with an infinite number of variables
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Time-optimal control of parabolic systems with boundary conditions involving time delays
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Fractional optimal control problem for infinite order system with control constraints
• Fractional optimal control problem for differential system with delay argument
• Fractional optimal control problem for variable-order differential systems
• Some properties of cones in normed spaces and their application to investigating extremal problems
• Formulation of Euler-Lagrange equations for fractional variational problems
• Fractional diffusion on bounded domains
• Fractional variational optimal control problems with delayed arguments
• A general formulation and solution scheme for fractional optimal control problems
• Lectures on mathematical theory of extremum problems. Translated from the Russian by D. Louvish
• Time-Optimal Control of Infinite Order Distributed Parabolic Systems Involving Multiple Time-Varying Lags
• A Central Difference Numerical Scheme for Fractional Optimal Control Problems
• On some specification of the Dubovicki-Milutin theorem for Pareto optimal problems
• A Hamiltonian Formulation and a Direct Numerical Scheme for Fractional Optimal Control Problems
• Fractional Optimal Control in the Sense of Caputo and the Fractional Noether's Theorem
• Fractional optimal control problem for differential system with control constraints
• Lagrangian Formulation of Classical Fields within Riemann-Liouville Fractional Derivatives
• Fractional Optimal Control Problems with Several State and Control Variables
• Time-optimal control problem for parabolic equations with control constraints and infinite number of variables