Approximate controllability results for the Sobolev type fractional delay impulsive integrodifferential inclusions of order \(r \in (1,2)\) via sectorial operator
type: Item
instance of: scholarly article
title: Approximate controllability results for the Sobolev type fractional delay impulsive integrodifferential inclusions of order \(r \in (1,2)\) via sectorial operator
zbMATH Open document ID: 1522.93039
publication date: 2023-10-12T00:00:00Z
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 7748684
zbMATH Keywords: fractional calculus
zbMATH Keywords: infinite delay
zbMATH Keywords: Sobolev type
zbMATH Keywords: impulsive systems
zbMATH Keywords: integrodifferential systems
zbMATH Keywords: sectorial operators
zbMATH Keywords: nonlocal conditions
MaRDI profile type: Publication
full work available at URL: s13540-023-00167-y
OpenAlex ID: W4376619040
cites work: Q3883053
cites work: Q3445966
cites work: Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
cites work: On a mild solution of a semilinear functional-differential evolution nonlocal problem
cites work: Controllability of impulsive functional differential systems with infinite delay in Banach spaces
cites work: Q4000472
cites work: Solvability and optimal controls of non-instantaneous impulsive stochastic fractional differential equation of order q ∈ (1,2)
cites work: A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order \(1 < r < 2\)
cites work: Controllability of fractional functional evolution equations of Sobolev type via characteristic solution operators
cites work: HJB equation for optimal control system with random impulses
cites work: Q4367585
cites work: Controllability of impulsive differential systems with nonlocal conditions
cites work: Optimal control results for impulsive fractional delay integrodifferential equations of order 1 < r < 2 via sectorial operator
cites work: Q5699297
cites work: Q3408155
cites work: Q5529751
cites work: A partial functional differential equation of Sobolev type
cites work: Controllability of impulsive neutral functional differential inclusions with infinite delay
cites work: On the controllability of impulsive fractional evolution inclusions in Banach spaces
cites work: The solvability and optimal controls for some fractional impulsive equations of order \(1 < \alpha < 2\)
cites work: Approximate controllability for stochastic evolution inclusions of Clarke's subdifferential type
cites work: Q4073972
cites work: Q3141902
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: A Cauchy problem for some fractional abstract differential equation with non local conditions
cites work: Q3472501
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: Approximate controllability and optimal controls of fractional dynamical systems of order \(1< q<2\) 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 of fractional nonlinear differential inclusions
cites work: The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\)
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: A new exploration on the existence and approximate controllability for fractional semilinear impulsive control systems of order \(r\in(1,2)\)
cites work: Existence in the large for nonlinear delay evolution inclusions with nonlocal initial conditions
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 new concept of solutions and existence results for impulsive fractional evolution equations
cites work: On the natural solution of an impulsive fractional differential equation of order \(q\in (1,2)\)
cites work: Boundary value problems on the half-line with impulses and infinite delay
cites work: Basic Theory of Fractional Differential Equations
cites work: New results on controllability of fractional evolution systems with order \(\alpha\in (1,2)\)
DOI: 10.1007/S13540-023-00167-Y
published in: Fractional Calculus \ Applied Analysis
description: scientific article; zbMATH DE number 7748684