Approximate controllability of a coupled nonlocal partial functional integro-differential equations with impulsive effects
type: Item
instance of: scholarly article
title: Approximate controllability of a coupled nonlocal partial functional integro-differential equations with impulsive effects
zbMATH Open document ID: 1542.93042
author: Hamida Litimein
author: Sara Litimein
author: Abdelghani Ouahab
author: Zhenyou Huang
published in: Qualitative Theory of Dynamical Systems
publication date: 2024-07-29T00:00:00Z
review text: In this paper, the authors study the approximate controllability problem for a system governed by the integro-differential equation with impulsive effects and nonlocal initial conditions. They firstly investigate the existence and uniqueness of solutions for the referenced system by the theory of resolvent operators combined with fixed point theory in a generalized Banach space. They secondly study the approximate controllability of the reference system without necessarily requiring the nonlinear terms to be uniformly bounded. Particularly, by the generalized measure of noncompactness, the compactness condition for the resolvent operator and the state-dependent function in the nonlocal condition is dropped, which is commonly found in some known results. Finally, they provide an example to demonstrate the abstract results of this work.
reviewed by: Yong Kui Chang
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 93C23
Mathematics Subject Classification ID: 93C25
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 45J05
zbMATH DE Number: 7888027
zbMATH Keywords: integro-differential systems
zbMATH Keywords: resolvent operator
zbMATH Keywords: fractional power operators
zbMATH Keywords: nonlocal conditions
zbMATH Keywords: approximate controllability
zbMATH Keywords: generalized measures of non-compactness
MaRDI profile type: Publication
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DOI: 10.1007/S12346-024-01089-7
description: scientific article; zbMATH DE number 7888027