Approximate controllability of Riemann-Liouville fractional differential inclusions

DOI10.1016/j.amc.2015.11.017zbMath1410.34072OpenAlexW2194049893MaRDI QIDQ668826

Min Yang, Q. R. Wang

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.11.017

zbMATH Keywords

fixed pointsapproximate controllabilitymultivalued mapssemigroup theoryRiemann-Liouville fractional differential inclusions

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Linear boundary value problems for ordinary differential equations (34B05) Fractional ordinary differential equations (34A08)

Related Items (22)

Existence of mild solutions for a class of Hilfer fractional evolution equations with nonlocal conditions ⋮ Existence and approximate controllability of Riemann-Liouville fractional integrodifferential systems with damping ⋮ Optimal controls for Riemann-Liouville fractional evolution systems without Lipschitz assumption ⋮ Approximate controllability for weighted semilinear Riemann-Liouville fractional differential systems with infinite delay ⋮ Existence and partial approximate controllability of nonlinear Riemann-Liouville fractional systems of higher order ⋮ Solvability and optimal control of semilinear fractional evolution equations with Riemann-Liouville fractional derivatives ⋮ Existence and controllability of higher‐order nonlinear fractional integrodifferential systems via fractional resolvent ⋮ Non‐instantaneous impulsive Riemann–Liouville fractional differential systems: Existence and controllability analysis ⋮ Approximate controllability for a class of fractional stochastic wave equations ⋮ Approximate controllability and complete controllability of semilinear fractional functional differential systems with control ⋮ Local existence for an impulsive fractional neutral integro-differential system with Riemann-Liouville fractional derivatives in a Banach space ⋮ Approximate controllability of impulsive Hilfer fractional differential inclusions ⋮ Approximate controllability of a class of semilinear Hilfer fractional differential equations ⋮ Co-design of state-dependent switching law and control scheme for variable-order fractional nonlinear switched systems ⋮ Partial approximate controllability of fractional systems with Riemann-Liouville derivatives and nonlocal conditions ⋮ Existence and approximate controllability of non-autonomous functional impulsive evolution inclusions in Banach spaces ⋮ Attractivity for Hilfer fractional stochastic evolution equations ⋮ Solvability of control problem for fractional nonlinear differential inclusions with nonlocal conditions ⋮ Riemann-Liouville fractional stochastic evolution equations driven by both Wiener process and fractional Brownian motion ⋮ Exact controllability for Hilfer fractional differential inclusions involving nonlocal initial conditions ⋮ Time optimal controls for fractional differential systems with Riemann-Liouville derivatives ⋮ Partial-approximate controllability of semi-linear systems involving two Riemann-Liouville fractional derivatives

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximate controllability of fractional nonlinear differential inclusions
• Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions
• Approximate controllability of nonlinear fractional dynamical systems
• Fractional semilinear differential inclusions
• Approximate controllability of fractional neutral evolution equations in Banach spaces
• Approximate controllability of differential inclusions in Hilbert spaces
• Approximate controllability of fractional stochastic evolution equations
• A class of fractional evolution equations and optimal controls
• Optimal control of fractional diffusion equation
• On the approximate controllability of semilinear fractional differential systems
• Existence and controllability results for fractional semilinear differential inclusions
• Nonlocal Cauchy problem for fractional evolution equations
• Existence and uniqueness for fractional neutral differential equations with infinite delay
• Basic theory of fractional differential equations
• Existence of mild solutions for fractional neutral evolution equations
• Existence results for impulsive neutral stochastic functional integro-differential inclusions with nonlocal initial conditions
• Semigroups of linear operators and applications to partial differential equations
• Existence of solutions to neutral functional integrodifferential equations in Banach spaces
• Existence of solutions for nonlinear fractional stochastic differential equations
• Approximate controllability of fractional neutral stochastic system with infinite delay
• Existence of mild solutions for fractional evolution equations
• Approximate controllability of evolution systems with nonlocal conditions
• Existence result for fractional neutral stochastic integro-differential equations with infinite delay
• A Note on the Lack of Exact Controllability for Mild Solutions in Banach Spaces
• Approximate Controllability of Semilinear Deterministic and Stochastic Evolution Equations in Abstract Spaces
• APPROXIMATE CONTROLLABILITY OF SECOND-ORDER STOCHASTIC DIFFERENTIAL EQUATIONS WITH IMPULSIVE EFFECTS
• Approximate controllability of fractional neutral integro-differential inclusions with state-dependent delay in Hilbert spaces
• Basic Theory of Fractional Differential Equations

This page was built for publication: Approximate controllability of Riemann-Liouville fractional differential inclusions