Existence and controllability of impulsive fractional stochastic differential equations driven by Rosenblatt process with Poisson jumps
type: Item
instance of: scholarly article
title: Existence and controllability of impulsive fractional stochastic differential equations driven by Rosenblatt process with Poisson jumps
zbMATH Open document ID: 1490.60152
author: Rajesh Dhayal
author: Muslim Malik
published in: Journal of Engineering Mathematics
publication date: 2021-12-30T00:00:00Z
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A37
Mathematics Subject Classification ID: 60G18
Mathematics Subject Classification ID: 93B05
zbMATH DE Number: 7451204
zbMATH Keywords: controllability
zbMATH Keywords: non-instantaneous impulses
zbMATH Keywords: Poisson jumps
zbMATH Keywords: Rosenblatt process
zbMATH Keywords: stochastic systems
MaRDI profile type: Publication
full work available at URL: s10665-021-10167-7
OpenAlex ID: W3204767820
Wikidata QID: Q115383923
cites work: Basic theory of fractional differential equations
cites work: Q3141902
cites work: Q5699297
cites work: Q4233638
cites work: Solvability and optimal controls of non-instantaneous impulsive stochastic fractional differential equation of order q ∈ (1,2)
cites work: The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\)
cites work: HOW TO APPROXIMATE THE FRACTIONAL DERIVATIVE OF ORDER 1 < α ≤ 2
cites work: The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm
cites work: Neutral stochastic functional differential equations driven by a fractional Brownian motion in a Hilbert space
cites work: Approximate controllability for a class of non-instantaneous impulsive stochastic fractional differential equation driven by fractional Brownian motion
cites work: Existence of Mild Solutions to Stochastic Delay Evolution Equations with a Fractional Brownian Motion and Impulses
cites work: Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay
cites work: Analysis of the Rosenblatt process
cites work: On the distribution of the Rosenblatt process
cites work: Neutral stochastic partial differential equations with delay driven by Rosenblatt process in a Hilbert space
cites work: Controllability and stability of fractional stochastic functional systems driven by Rosenblatt process
cites work: Retarded stochastic differential equations with infinite delay driven by Rosenblatt process
cites work: Successive approximation and optimal controls on fractional neutral stochastic differential equations with Poisson jumps
cites work: Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps
cites work: The existence and Hyers-Ulam stability of solution for an impulsive Riemann-Liouville fractional neutral functional stochastic differential equation with infinite delay of order \(1<\beta<2\)
cites work: Neutral fractional stochastic partial differential equations with Clarke subdifferential
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: On a new class of abstract impulsive differential equations
cites work: A general class of impulsive evolution equations
cites work: Q3120121
cites work: Approximate controllability of fractional stochastic differential equations driven by Rosenblatt process with non-instantaneous impulses
cites work: Optimal controls of systems governed by semilinear fractional differential equations with not instantaneous impulses
cites work: Solvability and optimal controls of non-instantaneous impulsive stochastic neutral integro-differential equation driven by fractional Brownian motion
cites work: Variational approach to differential equations with not instantaneous impulses
cites work: Existence and Controllability Results for a New Class of Impulsive Stochastic Partial Integro‐Differential Inclusions with State‐Dependent Delay
cites work: Existence, stability and controllability results of stochastic differential equations with non-instantaneous impulses
cites work: Controllability of impulsive neutral stochastic differential equations with fractional Brownian motion
cites work: On the controllability of nonlocal second-order impulsive neutral stochastic integro-differential equations with infinite delay
cites work: Controllability of Hilfer fractional noninstantaneous impulsive semilinear differential inclusions with nonlocal conditions
cites work: Controllability for a class of fractional-order neutral evolution control systems
cites work: Exact null controllability of Sobolev-type Hilfer fractional stochastic differential equations with fractional Brownian motion and Poisson jumps
cites work: Existence of solutions for nonlinear fractional stochastic differential equations
DOI: 10.1007/S10665-021-10167-7
description: scientific article; zbMATH DE number 7451204