Scientific Publications
My research work and academic publications
Contribution to optimal control for integrodifferential equations: deterministic and stochastic cases
Paul GUINDO
Journal: Journal of Applied Mathematics
Year: 2023
Abstract
This doctoral thesis explores optimal control problems for integro-differential equations, in both deterministic and stochastic cases. The study develops robust theoretical frameworks and proposes concrete applications in engineering and finance.
Controllability of Integrodifferential Equations With State-Dependent Delay
Guindo, Paul dit Akouni and Fall, Mbarack and Mané, Aziz and Diop, Mamadou Abdoul
Journal: Discussiones Mathematicae (Differential Inclusions, Control and Optimization)
Year: 2023
Abstract
This paper examines the controllability of integrodifferential equations with state-dependent delay, utilizing resolvent operators and fixed point theorems to establish mild solutions.
Optimal controls problems for some impulsive stochastic integro-differential equations with state-dependent delay
Diop, Amadou and Diop, Mamadou Abdoul and Ezzinbi, Khalil and Guindo, Paul dit Akouni
Journal: Stochastics
Year: 2022
Abstract
This research addresses optimal control problems for impulsive stochastic integro-differential equations with state-dependent delay, providing theoretical frameworks and solution approaches.
Optimal control for semilinear integrodifferential evolution equations in Banach spaces
Abdoul Diop, Mamadou and Ezzinbi, Khalil and Akouni Guindo, Paul dit
Journal: International Journal of Control
Year: 2022
Abstract
This paper explores optimal control strategies for semilinear integrodifferential evolution equations in Banach spaces, developing theoretical frameworks with practical applications.
Optimal controls problems for some impulsive stochastic integro-differential equations with state-dependent delay
Paul GUINDO
Conference: Network Partial Differential Equations Modeling and Control (EDP-MC)
Year: 2021
Abstract
This presentation explores optimal control problems for impulsive stochastic integro-differential equations with state-dependent delay, proposing innovative approaches for solving and optimizing these complex systems.
Optimal controls for stochastic functional integrodifferential equations
Diop, MA and Guindo, PDA and Fall, M and Diakhaby, A
Journal: Electronic Journal of Mathematical Analysis and Applications
Year: 2021
Abstract
This work addresses optimal control problems for stochastic functional integrodifferential equations, presenting theoretical results and numerical approaches.
Fractional and Multifractional Brownian Motion
Paul GUINDO
Journal: USTTB-FST Mathematics Journal
Year: 2018
Abstract
This master's thesis analyzes the mathematical properties of fractional and multifractional Brownian motion, Gaussian stochastic processes used to model phenomena exhibiting long-term dependence and/or variable regularity.