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

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

Abstract By using stochastic analysis, fractional analysis, compact semigroups and the Schauder fixed-point theorem, we discuss the approximate boundary controllability of a nonlocal Hilfer fractional stochastic differential system with fractional Brownian motion and a Poisson jump. In addition, we...

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Main Authors:	Hamdy M. Ahmed, Mahmoud M. El-Borai, M. Elsaid Ramadan
Format:	Article
Language:	English
Published:	SpringerOpen 2019-02-01
Series:	Advances in Difference Equations
Subjects:	Hilfer fractional stochastic differential system Fractional Brownian motion Nonlocal condition Approximate and null boundary controllability Poisson jumps
Online Access:	http://link.springer.com/article/10.1186/s13662-019-2028-1

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spelling	doaj-c604219005324039bab824570e7af2782020-11-25T02:11:43ZengSpringerOpenAdvances in Difference Equations1687-18472019-02-012019112310.1186/s13662-019-2028-1Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumpsHamdy M. Ahmed0Mahmoud M. El-Borai1M. Elsaid Ramadan2Higher Institute of Engineering, El-Shorouk AcademyDepartment of Mathematics, Faculty of Science, Alexandria UniversityDepartment of Mathematics, Faculty of Science, Al-Azhar UniversityAbstract By using stochastic analysis, fractional analysis, compact semigroups and the Schauder fixed-point theorem, we discuss the approximate boundary controllability of a nonlocal Hilfer fractional stochastic differential system with fractional Brownian motion and a Poisson jump. In addition, we establish the sufficient conditions for exact null controllability for the same problem. Finally, an example is given to illustrate the results obtained.http://link.springer.com/article/10.1186/s13662-019-2028-1Hilfer fractional stochastic differential systemFractional Brownian motionNonlocal conditionApproximate and null boundary controllabilityPoisson jumps
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Hamdy M. Ahmed Mahmoud M. El-Borai M. Elsaid Ramadan
spellingShingle	Hamdy M. Ahmed Mahmoud M. El-Borai M. Elsaid Ramadan Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps Advances in Difference Equations Hilfer fractional stochastic differential system Fractional Brownian motion Nonlocal condition Approximate and null boundary controllability Poisson jumps
author_facet	Hamdy M. Ahmed Mahmoud M. El-Borai M. Elsaid Ramadan
author_sort	Hamdy M. Ahmed
title	Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps
title_short	Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps
title_full	Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps
title_fullStr	Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps
title_full_unstemmed	Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps
title_sort	boundary controllability of nonlocal hilfer fractional stochastic differential systems with fractional brownian motion and poisson jumps
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2019-02-01
description	Abstract By using stochastic analysis, fractional analysis, compact semigroups and the Schauder fixed-point theorem, we discuss the approximate boundary controllability of a nonlocal Hilfer fractional stochastic differential system with fractional Brownian motion and a Poisson jump. In addition, we establish the sufficient conditions for exact null controllability for the same problem. Finally, an example is given to illustrate the results obtained.
topic	Hilfer fractional stochastic differential system Fractional Brownian motion Nonlocal condition Approximate and null boundary controllability Poisson jumps
url	http://link.springer.com/article/10.1186/s13662-019-2028-1
work_keys_str_mv	AT hamdymahmed boundarycontrollabilityofnonlocalhilferfractionalstochasticdifferentialsystemswithfractionalbrownianmotionandpoissonjumps AT mahmoudmelborai boundarycontrollabilityofnonlocalhilferfractionalstochasticdifferentialsystemswithfractionalbrownianmotionandpoissonjumps AT melsaidramadan boundarycontrollabilityofnonlocalhilferfractionalstochasticdifferentialsystemswithfractionalbrownianmotionandpoissonjumps
_version_	1724913022813601792

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

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