Existence and controllability of impulsive fractional stochastic differential equations driven by Rosenblatt process with Poisson jumps (Q2062634)

scientific article; zbMATH DE number 7451204

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English	Existence and controllability of impulsive fractional stochastic differential equations driven by Rosenblatt process with Poisson jumps	scientific article; zbMATH DE number 7451204

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instance of

scholarly article

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title

Existence and controllability of impulsive fractional stochastic differential equations driven by Rosenblatt process with Poisson jumps (English)

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Journal of Engineering Mathematics

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publication date

30 December 2021

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zbMATH Keywords

controllability

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non-instantaneous impulses

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Poisson jumps

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Rosenblatt process

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stochastic systems

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s10665-021-10167-7

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cites work

Basic theory of fractional differential equations

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Solvability and optimal controls of non-instantaneous impulsive stochastic fractional differential equation of order q ∈ (1,2)

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HOW TO APPROXIMATE THE FRACTIONAL DERIVATIVE OF ORDER 1 < α ≤ 2

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The existence and Hyers-Ulam stability of solution for almost periodical fractional stochastic differential equation with fBm

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Neutral stochastic functional differential equations driven by a fractional Brownian motion in a Hilbert space

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Approximate controllability for a class of non-instantaneous impulsive stochastic fractional differential equation driven by fractional Brownian motion

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Existence of Mild Solutions to Stochastic Delay Evolution Equations with a Fractional Brownian Motion and Impulses

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Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay

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Analysis of the Rosenblatt process

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On the distribution of the Rosenblatt process

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Neutral stochastic partial differential equations with delay driven by Rosenblatt process in a Hilbert space

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Controllability and stability of fractional stochastic functional systems driven by Rosenblatt process

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Retarded stochastic differential equations with infinite delay driven by Rosenblatt process

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Successive approximation and optimal controls on fractional neutral stochastic differential equations with Poisson jumps

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Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps

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The existence and Hyers-Ulam stability of solution for an impulsive Riemann-Liouville fractional neutral functional stochastic differential equation with infinite delay of order \(1<\beta<2\)

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Neutral fractional stochastic partial differential equations with Clarke subdifferential

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Approximate controllability and existence of mild solutions for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order \(1 < \alpha < 2\)

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On a new class of abstract impulsive differential equations

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A general class of impulsive evolution equations

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Q3120121

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Approximate controllability of fractional stochastic differential equations driven by Rosenblatt process with non-instantaneous impulses

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Optimal controls of systems governed by semilinear fractional differential equations with not instantaneous impulses

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Solvability and optimal controls of non-instantaneous impulsive stochastic neutral integro-differential equation driven by fractional Brownian motion

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Variational approach to differential equations with not instantaneous impulses

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Existence and Controllability Results for a New Class of Impulsive Stochastic Partial Integro‐Differential Inclusions with State‐Dependent Delay

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Existence, stability and controllability results of stochastic differential equations with non-instantaneous impulses

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Controllability of impulsive neutral stochastic differential equations with fractional Brownian motion

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On the controllability of nonlocal second-order impulsive neutral stochastic integro-differential equations with infinite delay

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Controllability of Hilfer fractional noninstantaneous impulsive semilinear differential inclusions with nonlocal conditions

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Controllability for a class of fractional-order neutral evolution control systems

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Exact null controllability of Sobolev-type Hilfer fractional stochastic differential equations with fractional Brownian motion and Poisson jumps

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Existence of solutions for nonlinear fractional stochastic differential equations

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Identifiers

zbMATH Open document ID

1490.60152

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Mathematics Subject Classification ID

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10.1007/S10665-021-10167-7

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Sitelinks

Mathematics(1 entry)

mardi Publication:2062634