Existence and controllability results for nonlocal stochastic integro-differential equations

DOI10.1080/17442508.2020.1802459zbMath1490.60183OpenAlexW3049243781MaRDI QIDQ5086706

Amadou Diop, Khalil Ezzinbi, Mamadou Abdoul Diop, Aziz Mané

Publication date: 7 July 2022

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2020.1802459

zbMATH Keywords

integro-differential equationsfixed point theoryWiener processstochastic partial differential equationsmeasure of noncompactnessnonlocal conditionsstochastic integro-differential equations

Mathematics Subject Classification ID

Controllability (93B05) Ordinary differential equations and systems with randomness (34F05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Nonlinear evolution equations (47J35)

Related Items (5)

Existence, stability and controllability results of stochastic differential equations with non-instantaneous impulses ⋮ Weighted fractional stochastic integro-differential equation with infinite delay ⋮ Exploration nonlocal controllability for Hilfer fractional differential inclusions with Clarke subdifferential and nonlinear noise ⋮ Wellposedness and controllability results of stochastic integrodifferential equations with noninstantaneous impulses and Rosenblatt process ⋮ Controllability for nonlocal stochastic integrodifferential evolution equations with the lack of compactness

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sobolev type fractional abstract evolution equations with nonlocal conditions and optimal multi-controls
• Monotone iterative technique for a class of semilinear evolution equations with nonlocal conditions
• Controllability for a class of fractional-order neutral evolution control systems
• A note on the fractional Cauchy problems with nonlocal initial conditions
• Optimal control of fractional diffusion equation
• Nonlocal Cauchy problem for fractional evolution equations
• Controllability of damped second-order neutral functional differential systems with impulses
• Existence results for impulsive neutral functional integrodifferential equations with infinite delay
• Existence results for impulsive neutral stochastic functional integro-differential equations with infinite delays
• Semigroups of linear operators and applications to partial differential equations
• Analytic resolvent operators for integral equations in Banach space
• Functional differential equations with infinite delay
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Semilinear integrodifferential equations with nonlocal initial conditions
• Approximate controllability of fractional integro-differential equations involving nonlocal initial conditions
• On the approximate controllability of fractional evolution equations with compact analytic semigroup
• Uniqueness criterion for solution of abstract nonlocal Cauchy problem
• Stochastic differential equations in Hilbert space
• Existence theorems of global solutions for nonlinear Volterra type integral equations in Banach spaces
• Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions
• Approximate controllability of impulsive differential equations with state-dependent delay
• Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces
• Resolvent Operators for Integral Equations in a Banach Space
• Application of properties of the right-hand sides of evolution equations to an investigation of nonlocal evolution problems
• One-Parameter Semigroups for Linear Evolution Equations

This page was built for publication: Existence and controllability results for nonlocal stochastic integro-differential equations