Analysis of abstract partial impulsive integro-differential system with delay via integrated resolvent operator

DOI10.1007/s12346-024-00968-3MaRDI QIDQ6153432

Publication date: 19 March 2024

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

integro-differential system impulsive integro-differential system integrated resolvent operator Hyers-Ulam stability of integro-differential system integro-differential system with delay

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Functional-differential equations with impulses (34K45) One-parameter semigroups and linear evolution equations (47D06) Functional-differential equations in abstract spaces (34K30)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Solvability for impulsive neutral integro-differential equations with state-dependent delay via fractional operators
An existence result for first-order impulsive functional differential equations in Banach spaces
Ulam's-type stability of first-order impulsive differential equations with variable delay in quasi-Banach spaces
On the existence of solutions of a three steps crisis integro-differential equation
Integrated resolvent operators
Mathematical analysis of the Cauchy type dynamical system under piecewise equations with Caputo fractional derivative
Existence and uniqueness of solutions for abstract integro-differential equations with state-dependent delay and applications
Nonlocal integro-differential equations without the assumption of equicontinuity on the resolvent operator in Banach spaces
Integrodifferential equations of Volterra type with nonlocal and impulsive conditions
On a nonlinear sequential four-point fractional $q$-difference equation involving $q$-integral operators in boundary conditions along with stability criteria
Hyers-Ulam stability of impulsive Volterra delay integro-differential equations
Ulam stabilities for nonlinear Volterra delay integro-differential equations
Existence and regularity for some partial neutral functional integrodifferential equations with nondense domain
Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel
Approximate controllability of nonlocal and impulsive neutral integro-differential equations using the resolvent operator theory and an approximating technique
Mild solution of second-order impulsive integro-differential evolution equations of Volterra type in Banach spaces
Advanced functional evolution equations and inclusions
Existence results for an impulsive abstract partial differential equation with state-dependent delay
Stability of a nonlinear Volterra integro-differential equation via a fixed point approach
Resolvent Operators for Integral Equations in a Banach Space
Stability and existence results for a class of nonlinear fractional differential equations with singularity
STABILITY RESULTS AND EXISTENCE THEOREMS FOR NONLINEAR DELAY-FRACTIONAL DIFFERENTIAL EQUATIONS WITH <inline-formula><tex-math id="M1">$ \varphi^*_P $</tex-math></inline-formula>-OPERATOR
Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations
EXISTENCE THEOREMS AND HYERS-ULAM STABILITY FOR A CLASS OF HYBRID FRACTIONAL DIFFERENTIAL EQUATIONS WITH P -LAPLACIAN OPERATOR
Solvability of nondensely defined partial functional integrodifferential equations using the integrated resolvent operators
Mild solution of semilinear impulsive integro-differential evolution equation in Banach spaces
ON FRACTAL-FRACTIONAL WATERBORNE DISEASE MODEL: A STUDY ON THEORETICAL AND NUMERICAL ASPECTS OF SOLUTIONS VIA SIMULATIONS

This page was built for publication: Analysis of abstract partial impulsive integro-differential system with delay via integrated resolvent operator