Title
g-Expectation for Conformable Backward Stochastic Differential Equations
Abstract
In this paper, we study the applications of conformable backward stochastic differential equations driven by Brownian motion and compensated random measure in nonlinear expectation. From the comparison theorem, we introduce the concept of g-expectation and give related properties of g-expectation. In addition, we find that the properties of conformable backward stochastic differential equations can be deduced from the properties of the generator g. Finally, we extend the nonlinear Doob-Meyer decomposition theorem to more general cases.
Year
DOI
Venue
2022
10.3390/axioms11020075
AXIOMS
Keywords
DocType
Volume
nonlinear expectation, g-expectation, Doob-Meyer decomposition theorem
Journal
11
Issue
Citations 
PageRank 
2
0
0.34
References 
Authors
0
4
Name
Order
Citations
PageRank
Mei Luo100.34
Michal Fečkan22110.79
Jinrong Wang326538.75
Donal O'Regan416346.52