Poisson white noise driven space-fractional diffusion equations

Xia Zhang; Khattak Shahzad; Yongqiang Fu

Poisson white noise driven space-fractional diffusion equations

Xia Zhang
, Khattak Shahzad
, Yongqiang Fu^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we study Poisson white noise driven space fractional diffusion equations. We generalize the results in the paper of Albeverioa, Wu and Zhang [Stochastic Processes and their Applications, 74(1998), 21-36] to high dimension and fractional Laplacian operators, where the existence and uniqueness of solution are established. Moreover we show the existence of an optimal control for a control problem of the Poisson white noise driven space fractional diffusion equations.

Original language	English
Pages (from-to)	393-406
Number of pages	14
Journal	Journal of Nonlinear and Convex Analysis
Volume	22
Issue number	2
State	Published - 2021

Keywords

Condition for optimality
Fractional Sobolev space
Optimal control
Poisson white noise driven
Space fractional diffusion equation

Cite this

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title = "Poisson white noise driven space-fractional diffusion equations",

abstract = "In this paper, we study Poisson white noise driven space fractional diffusion equations. We generalize the results in the paper of Albeverioa, Wu and Zhang [Stochastic Processes and their Applications, 74(1998), 21-36] to high dimension and fractional Laplacian operators, where the existence and uniqueness of solution are established. Moreover we show the existence of an optimal control for a control problem of the Poisson white noise driven space fractional diffusion equations.",

keywords = "Condition for optimality, Fractional Sobolev space, Optimal control, Poisson white noise driven, Space fractional diffusion equation",

author = "Xia Zhang and Khattak Shahzad and Yongqiang Fu",

year = "2021",

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journal = "Journal of Nonlinear and Convex Analysis",

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T1 - Poisson white noise driven space-fractional diffusion equations

AU - Zhang, Xia

AU - Shahzad, Khattak

AU - Fu, Yongqiang

PY - 2021

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N2 - In this paper, we study Poisson white noise driven space fractional diffusion equations. We generalize the results in the paper of Albeverioa, Wu and Zhang [Stochastic Processes and their Applications, 74(1998), 21-36] to high dimension and fractional Laplacian operators, where the existence and uniqueness of solution are established. Moreover we show the existence of an optimal control for a control problem of the Poisson white noise driven space fractional diffusion equations.

AB - In this paper, we study Poisson white noise driven space fractional diffusion equations. We generalize the results in the paper of Albeverioa, Wu and Zhang [Stochastic Processes and their Applications, 74(1998), 21-36] to high dimension and fractional Laplacian operators, where the existence and uniqueness of solution are established. Moreover we show the existence of an optimal control for a control problem of the Poisson white noise driven space fractional diffusion equations.

KW - Condition for optimality

KW - Fractional Sobolev space

KW - Optimal control

KW - Poisson white noise driven

KW - Space fractional diffusion equation

UR - https://www.scopus.com/pages/publications/85105453368

M3 - 文章

AN - SCOPUS:85105453368

SN - 1345-4773

VL - 22

SP - 393

EP - 406

JO - Journal of Nonlinear and Convex Analysis

JF - Journal of Nonlinear and Convex Analysis

IS - 2

ER -

Poisson white noise driven space-fractional diffusion equations

Abstract

Keywords

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