A study on controllability of impulsive fractional evolution equations via resolvent operators

DOI10.1186/S13661-021-01499-5zbMath1496.34116OpenAlexW3163953793MaRDI QIDQ2126758

Haide Gou, Yongxiang Li

Publication date: 19 April 2022

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-021-01499-5

zbMATH Keywords

controllabilitymeasure of noncompactnessmild solutionMönch fixed point theorem

Mathematics Subject Classification ID

Controllability (93B05) Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Control problems for functional-differential equations (34K35) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37) Integro-ordinary differential equations (45J99)

Related Items (2)

A new exploration on the existence and approximate controllability for fractional semilinear impulsive control systems of order \(r\in(1,2)\) ⋮ Iterative positive solutions to a coupled Riemann-Liouville fractional \(q\)-difference system with the Caputo fractional \(q\)-derivative boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Controllability for a class of fractional-order neutral evolution control systems
• Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems
• Existence and controllability result for semilinear evolution integrodifferential systems
• Controllability results for impulsive functional differential inclusions
• Existence and controllability results for nondensely defined impulsive semilinear functional differential inclusions
• Controllability of fractional integrodifferential systems in Banach spaces
• Controllability of fractional integro-differential evolution equations with nonlocal conditions
• Controllability result for nonlinear evolution integrodifferential systems.
• Controllability of semilinear impulsive Atangana-Baleanu fractional differential equations with delay
• The method of lower and upper solutions for impulsive fractional evolution equations
• Existence and uniqueness of mild solution for an impulsive neutral fractional integro-differential equation with infinite delay
• Approximate controllability for fractional differential equations of Sobolev type via properties on resolvent operators
• Exact controllability and continuous dependence of fractional neutral integro-differential equations with state-dependent delay
• EXISTENCE AND CONTROLLABILITY OF FRACTIONAL NEUTRAL INTEGRO-DIFFERENTIAL SYSTEMS WITH STATE-DEPENDENT DELAY IN BANACH SPACES
• UPPER AND LOWER SOLUTION METHOD FOR FRACTIONAL EVOLUTION EQUATIONS WITH ORDER 1 < α < 2
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Approximate controllability of semilinear fractional differential systems of order 1 < q < 2 via resolvent operators
• Criterion of the approximate controllability of a class of degenerate distributed systems with the Riemann–Liouville derivative
• Controllability of second‐order Sobolev‐type impulsive delay differential systems
• Approximate controllability of fractional neutral integro-differential inclusions with state-dependent delay in Hilbert spaces
• Approximate controllability of partial neutral functional differential systems of fractional order with state-dependent delay
• Positive solutions for boundary value problem of nonlinear fractional differential equation
• Controllability of integrodifferential systems in Banach spaces.

This page was built for publication: A study on controllability of impulsive fractional evolution equations via resolvent operators