Approximate controllability of fractional partial differential equation

DOI10.1186/s13662-015-0692-3zbMath1422.35177OpenAlexW2183686015WikidataQ59435962 ScholiaQ59435962MaRDI QIDQ1795525

Fang Wang, Ping Wang, Zheng-An Yao

Publication date: 16 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0692-3

zbMATH Keywords

approximate controllabilitySchauder fixed point theoremcompact semigroupfractional partial differential equation

Mathematics Subject Classification ID

Controllability (93B05) Fractional derivatives and integrals (26A33) Control/observation systems in abstract spaces (93C25) Fractional partial differential equations (35R11)

Related Items

Anti-periodic dynamics on high-order inertial Hopfield neural networks involving time-varying delays ⋮ Upper semicontinuity of attractors for nonclassical diffusion equations with arbitrary polynomial growth ⋮ Asymptotic behavior for the semilinear reaction-diffusion equations with memory ⋮ New results on global exponential stability for a periodic Nicholson's blowflies model involving time-varying delays ⋮ Attractors for a class of perturbed nonclassical diffusion equations with memory ⋮ Unnamed Item ⋮ Nonlinear Hilfer fractional integro-partial differential system ⋮ Controllability of nonlinear impulsive integro-differential fractional time-invariant systems ⋮ Karush-Kuhn-Tucker optimality conditions for a class of robust optimization problems with an interval-valued objective function ⋮ Global asymptotic stability for a nonlinear density-dependent mortality Nicholson's blowflies system involving multiple pairs of time-varying delays ⋮ Novel stability criteria on nonlinear density-dependent mortality Nicholson's blowflies systems in asymptotically almost periodic environments ⋮ Asymptotically almost periodic dynamics on delayed Nicholson-type system involving patch structure ⋮ Anti-periodicity on high-order inertial Hopfield neural networks involving mixed delays ⋮ Convergence analysis on inertial proportional delayed neural networks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximate controllability of fractional order semilinear systems with bounded delay
• Approximate controllability of nonlinear deterministic and stochastic systems with unbounded delay
• Approximate controllability of the nonlinear third-order dispersion equation
• Controllability of fractional stochastic delay equations
• Approximate controllability of a delayed semilinear control system with growing nonlinear term
• Approximate controllability of fractional order semilinear delay systems
• On recent developments in the theory of abstract differential equations with fractional derivatives
• Exact controllability of the nonlinear third-order dispersion equation
• Existence and uniqueness for fractional neutral differential equations with infinite delay
• Existence of mild solutions for fractional neutral evolution equations
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• A survey on semilinear differential equations and inclusions involving Riemann-Liouville fractional derivative
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Approximate controllability for a class of abstract second-order functional evolution equations
• Recent applications of fractional calculus to science and engineering
• Some probability densities and fundamental solutions of fractional evolution equations
• Approximate controllability of fractional neutral stochastic system with infinite delay
• On the approximate controllability of fractional evolution equations with compact analytic semigroup
• Existence results for fractional order functional differential equations with infinite delay
• Approximate controllability of second-order distributed implicit functional systems
• Controllability of Semilinear Control Systems Dominated by the Linear Part
• Approximate Controllability of Semilinear Deterministic and Stochastic Evolution Equations in Abstract Spaces
• Controllability and Stabilizability of the Third-Order Linear Dispersion Equation on a Periodic Domain
• Controllability of integrodifferential systems in Banach spaces.