Existence of optimal controls for a semilinear composite fractional relaxation equation

DOI10.1016/S0034-4877(14)60047-1zbMath1311.49004WikidataQ69846063 ScholiaQ69846063MaRDI QIDQ2018736

Gisèle M. Mophou, Zhenbin Fan

Publication date: 25 March 2015

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

optimal controlmild solutionCaputo fractional derivativessemilinear composite fractional relaxation equation

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Existence theories for optimal control problems involving ordinary differential equations (49J15) Existence theories for problems in abstract spaces (49J27) Fractional ordinary differential equations (34A08)

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Cites Work

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• Approximate controllability of fractional nonlinear differential inclusions
• Approximate controllability of differential inclusions in Hilbert spaces
• Complete controllability of stochastic evolution equations with jumps
• Cauchy problems for fractional differential equations with Riemann-Liouville fractional derivatives
• Controllability for a class of fractional-order neutral evolution control systems
• Bounded mild solutions for semilinear integro differential equations in Banach spaces
• An operator theoretical approach to a class of fractional order differential equations
• A class of fractional evolution equations and optimal controls
• Existence and uniqueness of mild solutions for abstract delay fractional differential equations
• Optimal control of a fractional diffusion equation with state constraints
• On fractional powers of generators of fractional resolvent families
• General solution of the Bagley-Torvik equation with fractional-order derivative
• The solution of the Bagley-Torvik equation with the generalized Taylor collocation method
• Existence of optimal controls for nonlinear systems in Banach spaces
• Optimal control of nonlinear evolution equations with nonmonotone nonlinearities
• Some probability densities and fundamental solutions of fractional evolution equations
• Approximate controllability of fractional neutral stochastic system with infinite delay
• A general formulation and solution scheme for fractional optimal control problems
• Controllability of non-linear impulsive stochastic systems
• Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals
• Optimal Control of Unbounded Differential Inclusions
• APPROXIMATE CONTROLLABILITY OF SECOND-ORDER STOCHASTIC DIFFERENTIAL EQUATIONS WITH IMPULSIVE EFFECTS
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Fractional Optimal Control Problems with Several State and Control Variables