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Hilfer-Katugampola fractional stochastic differential inclusions with Clarke sub-differential [PDF]
HeliyonThe 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 +3 more
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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
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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,
Michel Benaïm +2 more
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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 +3 more
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Stochastic Approximations and Differential Inclusions [PDF]
SIAM Journal on Control and Optimization, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michel Benaïm +2 more
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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
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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 +1 more
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Approximate Controllability of Fractional Stochastic Evolution Inclusions with Non-Local Conditions
Fractal and Fractional, 2023 This article investigates the approximate controllability of non-linear fractional stochastic differential inclusions with non-local conditions. We establish a set of sufficient conditions for their approximate controllability and provide results in ...
Kinda Abuasbeh +4 more
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Nonlinear Analysis, 2023 The existence of Hilfer fractional stochastic Volterra–Fredholm integro-differential inclusions via almost sectorial operators is the topic of our paper.
Sivajiganesan Sivasankar +2 more
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Open Mathematics, 2023 A new class of stochastic differential equations (SDEs) is introduced in this article, which is driven by the generalized stochastic mixed variational inequality (GS-MVI).
Zeng Qiaofeng, Min Chao, Fan Feifei
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