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Hilfer-Katugampola fractional stochastic differential inclusions with Clarke sub-differential [PDF]

Heliyon
The objective of this paper is to investigate the existence of mild solutions and optimal controls for a class of stochastic Hilfer-Katugampola fractional differential inclusions (SHKFDIs) with non-instantaneous impulsive (NIIs) that is strengthened by ...
Noorah Mshary, Hamdy M. Ahmed, Ahmed S. Ghanem, A.M. Sayed Ahmed   +3 more
doaj   +6 more sources

Asynchronous stochastic approximation with differential inclusions [PDF]

Stochastic Systems, 2012
The asymptotic pseudo-trajectory approach to stochastic approximation of Benaïm, Hofbauer and Sorin is extended for asynchronous stochastic approximations with a set-valued mean field.
David S. Leslie, Steven Perkins
doaj   +6 more sources

Null Controllability of Hilfer Fractional Stochastic Differential Inclusions

Fractal and Fractional, 2022
This paper gives the null controllability for nonlocal stochastic differential inclusion with the Hilfer fractional derivative and Clarke subdifferential.
Hamdy M. Ahmed, Mahmoud M. El-Borai, Wagdy El-Sayed, Alaa Elbadrawi   +3 more
doaj   +3 more sources

Stochastic Approximations and Differential Inclusions [PDF]

SIAM Journal on Control and Optimization, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sylvain Sorin, Michel Benaïm, Josef Hofbauer   +2 more
exaly   +5 more sources

Stochastic Approximations and Differential Inclusions, Part II: Applications [PDF]

Mathematics of Operations Research, 2006
We apply the theoretical results on “stochastic approximations and differential inclusions” developed in Benaïm et al. [M. Benaïm, J. Hofbauer, S. Sorin. 2005. Stochastic approximations and differential inclusions. SIAM J. Control Optim. 44 328–348] to several adaptive processes used in game theory, including classical and generalized approachability,
Sylvain Sorin, Michel Benaïm, Josef Hofbauer   +2 more
exaly   +4 more sources

Stochastic differential inclusions and diffusion processes

Journal of Mathematical Analysis and Applications, 2007
The connexion between weak solutions of stochastic differential inclusions and solutions of partial differential inclusions are explored. The results are facilitated by the use of an appropriate continuous approximation selection theorem.
Michał Kisielewicz
exaly   +3 more sources

Stochastic representation of partial differential inclusions

Journal of Mathematical Analysis and Applications, 2009
Partial differential inclusions of the form \(u_t^\prime \in \mathbb L _{FG}u+cu\) and \(\psi \in \mathbb L_{FG}u+cu\), where \(\mathbb L_{FG}\) is a uniformly parabolic second order set-valued operator, are considered. In particular, based on diffusions properties of weak solutions to stochastic differential inclusions, some existence and ...
Michał Kisielewicz
exaly   +2 more sources

The interrelation between stochastic differential inclusions and set-valued stochastic differential equations

Journal of Mathematical Analysis and Applications, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Marek T Malinowski, Mariusz Michta
exaly   +3 more sources

On connections between stochastic differential inclusions and set-valued stochastic differential equations driven by semimartingales

Journal of Differential Equations, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mariusz Michta
exaly   +3 more sources

Hilfer Fractional Neutral Stochastic Volterra Integro-Differential Inclusions via Almost Sectorial Operators

Mathematics, 2022
In our paper, we mainly concentrate on the existence of Hilfer fractional neutral stochastic Volterra integro-differential inclusions with almost sectorial operators.
Sivajiganesan Sivasankar, Ramalingam Udhayakumar   +1 more
doaj   +1 more source