Approximate controllability of semilinear fractional differential systems of order 1 < q < 2 via resolvent operators

DOI10.2298/FIL1718769LzbMath1499.34391OpenAlexW2524250932MaRDI QIDQ5019823

Tingting Lian, Zhenbin Fan, Gang Li

Publication date: 11 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1718769l

zbMATH Keywords

approximate controllabilitymild solutionresolvent operatorsfractional differential systemsapproximate technique

Mathematics Subject Classification ID

Controllability (93B05) Functional-differential equations in abstract spaces (34K30) Spectrum, resolvent (47A10) Control problems for functional-differential equations (34K35) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37)

Related Items (9)

Controllability of fractional evolution systems of Sobolev type via resolvent operators ⋮ A study on controllability of impulsive fractional evolution equations via resolvent operators ⋮ Solutions to Riemann-Liouville fractional integrodifferential equations via fractional resolvents ⋮ Existence and approximate controllability of fractional evolution equations with nonlocal conditions via resolvent operators ⋮ A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order \(1 < r < 2\) ⋮ A study on impulsive fractional hybrid evolution equations using sequence method ⋮ Controllability of impulsive fractional integro-differential evolution equations ⋮ Partial approximate controllability of fractional systems with Riemann-Liouville derivatives and nonlocal conditions ⋮ Approximate controllability of fractional nonlinear hybrid differential systems via resolvent operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximate controllability for semilinear composite fractional relaxation equations
• Approximate controllability of semilinear nonlocal fractional differential systems via an approximating method
• Approximate controllability of nonlinear fractional dynamical systems
• Controllability of nonlocal fractional differential systems of order \(\alpha \in (1,2\) in Banach spaces]
• Approximate controllability of fractional order semilinear systems with bounded delay
• Approximate controllability of impulsive Riemann-Liouville fractional equations in Banach spaces
• On the approximate controllability of fractional evolution equations with generalized Riemann-Liouville fractional derivative
• Approximate controllability of fractional functional equations with infinite delay
• Approximate controllability of semilinear fractional control systems of order \(\alpha\in (1, 2\) with infinite delay]
• Existence results for semilinear differential equations with nonlocal and impulsive conditions
• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Characterization of compactness for resolvents and its applications
• Approximate controllability of fractional differential equations via resolvent operators
• Controllability of fractional order system with nonlinear term having integral contractor
• Non-smooth critical point theory on closed convex sets
• Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions
• Evolutionary Integral Equations and Applications
• Approximate Controllability of Semilinear Deterministic and Stochastic Evolution Equations in Abstract Spaces
• Controllability of linear stochastic systems
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Relative controllability of semilinear fractional stochastic control systems in Hilbert spaces
• Remarks on the controllability of fractional differential equations
• Approximate Controllability of Fractional Evolution Systems with Riemann--Liouville Fractional Derivatives

This page was built for publication: Approximate controllability of semilinear fractional differential systems of order 1 < q < 2 via resolvent operators