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...

Full description

Bibliographic Details
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
Description
Summary: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.
ISSN:1687-1847

Similar Items