Sobolev-type existence results for impulsive nonlocal fractional stochastic integrodifferential inclusions of order \(\varrho\in(1, 2)\) with infinite delay via sectorial operator
type: Item
instance of: scholarly article
title: Sobolev-type existence results for impulsive nonlocal fractional stochastic integrodifferential inclusions of order \(\varrho\in(1, 2)\) with infinite delay via sectorial operator
zbMATH Open document ID: 1547.45011
author: Q6060956
author: Jae-Hoon Jeong
author: Young Hoon Joo
published in: Mathematical Methods in the Applied Sciences
publication date: 2024-06-07T00:00:00Z
Mathematics Subject Classification ID: 45R05
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 60H20
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7861267
zbMATH Keywords: fractional derivative
zbMATH Keywords: impulsive systems
zbMATH Keywords: infinite delay
zbMATH Keywords: integro-differential systems
zbMATH Keywords: nonlocal conditions
zbMATH Keywords: sectorial operators
zbMATH Keywords: stochastic systems
MaRDI profile type: Publication
cites work: Q5699297
cites work: Q3408155
cites work: Q3141902
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Nonlocal Cauchy problem for abstract fractional semilinear evolution equations
cites work: Results on approximate controllability of fractional stochastic Sobolev‐type Volterra–Fredholm integro‐differential equation of order 1 < r < 2
cites work: Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type
cites work: The solvability and optimal controls for some fractional impulsive equations of order \(1 < \alpha < 2\)
cites work: On the controllability of impulsive fractional evolution inclusions in Banach spaces
cites work: A Cauchy problem for some fractional abstract differential equation with non local conditions
cites work: Approximate controllability and optimal controls of fractional dynamical systems of order \(1< q<2\) in Banach spaces
cites work: Approximate controllability of fractional nonlinear differential inclusions
cites work: New results on exact controllability of a class of fractional neutral integro-differential systems with state-dependent delay in Banach spaces
cites work: On the controllability of fractional functional integro-differential systems with an infinite delay in Banach spaces
cites work: Approximate controllability and existence of mild solutions for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order \(1 < \alpha < 2\)
cites work: The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\)
cites work: Nonlocal controllability of semilinear dynamic systems with fractional derivative in Banach spaces
cites work: The existence of positive mild solutions for fractional differential evolution equations with nonlocal conditions of order \(1<\alpha<2\)
cites work: On the concept and existence of solution for impulsive fractional differential equations
cites work: Existence of solutions for nonlinear fractional stochastic differential equations
cites work: Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
cites work: A Note on Existence of Global Solutions for Impulsive Functional Integrodifferential Systems
cites work: Existence results for Caputo fractional mixed Volterra-Fredholm-type integrodifferential inclusions of order \(r\in (1,2)\) with sectorial operators
cites work: Existence of the mild solution for some fractional differential equations with nonlocal conditions
cites work: The existence of mild solutions for impulsive fractional partial differential equations
cites work: Existence of Global Solutions for a Class of Abstract Second-Order Nonlocal Cauchy Problem with Impulsive Conditions in Banach Spaces
cites work: Existence and controllability for stochastic evolution inclusions of Clarke's subdifferential type
cites work: Controllability of impulsive functional differential systems with infinite delay in Banach spaces
cites work: Controllability of impulsive differential systems with nonlocal conditions
cites work: A study on the mild solution of impulsive fractional evolution equations
cites work: Nonlinear impulsive integro-differential equations of mixed type and optimal controls
cites work: On a mild solution of a semilinear functional-differential evolution nonlocal problem
cites work: New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order \(r\in(1,2)\)
cites work: A note concerning to approximate controllability of Atangana–Baleanu fractional neutral stochastic integro‐differential system with infinite delay
cites work: Asymptotic stability of fractional order (1,2] stochastic delay differential equations in Banach spaces
cites work: A partial functional differential equation of Sobolev type
cites work: New discussion on approximate controllability results for fractional Sobolev type Volterra-Fredholm integro-differential systems of order \(1<r<2\)
cites work: On the approximate controllability results for fractional integrodifferential systems of order \(1 < r < 2\) with sectorial operators
cites work: Controllability discussion for fractional stochastic Volterra-Fredholm integro-differential systems of order \(1<r<2\)
cites work: Optimal control results for Sobolev‐type fractional mixed Volterra–Fredholm type integrodifferential equations of order 1 < r < 2 with sectorial operators
cites work: New results on controllability of fractional evolution systems with order \(\alpha\in (1,2)\)
cites work: A new approach on approximate controllability of fractional evolution inclusions of order \(1<r<2\) with infinite delay
cites work: Results on the approximate controllability of fractional hemivariational inequalities of order \(1< r<2\)
cites work: On the natural solution of an impulsive fractional differential equation of order \(q\in (1,2)\)
cites work: Upper and lower solution method for fractional evolution equations with order \(1<\alpha<2\)
cites work: Solvability and optimal controls of non-instantaneous impulsive stochastic fractional differential equation of order q ∈ (1,2)
cites work: Existence of solution for Volterra–Fredholm type stochastic fractional integro‐differential system of order μ ∈ (1, 2) with sectorial operators
cites work: Approximate controllability results for the Sobolev type fractional delay impulsive integrodifferential inclusions of order \(r \in (1,2)\) via sectorial operator
cites work: Optimal control results for impulsive fractional delay integrodifferential equations of order 1 < r < 2 via sectorial operator
cites work: Optimal Control Results for Sobolev-Type Fractional Stochastic Volterra-Fredholm Integrodifferential Systems of Order ϑ ∈ (1, 2) via Sectorial Operators
cites work: Boundary value problems on the half-line with impulses and infinite delay
cites work: Q4000472
cites work: Q4367585
cites work: Q5529751
cites work: Q3420918
DOI: 10.1002/MMA.9832
description: scientific article; zbMATH DE number 7861267