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- University of AveiroPT10 papers
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7 papers · 1 filter
Approximate Controllability of Delayed Fractional Stochastic Differential Systems with Mixed Noise and Impulsive Effects
Naima Hakkar, Rajesh Dhayal, Amar Debbouche +1
We herein report a new class of impulsive fractional stochastic differential systems driven by mixed fractional Brownian motions with infinite delay and Hurst parameter $\hat{\cal…
Optimal control of a heroin epidemic mathematical model
Puthur Thangaraj Sowndarrajan, Lingeshwaran Shangerganesh, Amar Debbouche +1
A heroin epidemic mathematical model with prevention information and treatment, as control interventions, is analyzed, assuming that an individual's behavioral response depends on…
Approximate Controllability of Impulsive Non-local Non-linear Fractional Dynamical Systems and Optimal Control
Sarra Guechi, Amar Debbouche, Delfim F. M. Torres
We establish existence, approximate controllability and optimal control of a class of impulsive non-local non-linear fractional dynamical systems in Banach spaces. We use fractiona…
Optimal Solutions to Relaxation in Multiple Control Problems of Sobolev Type with Nonlocal Nonlinear Fractional Differential Equations
Amar Debbouche, Juan J. Nieto, Delfim F. M. Torres
We introduce the optimality question to the relaxation in multiple control problems described by Sobolev type nonlinear fractional differential equations with nonlocal control cond…
Sobolev Type Fractional Dynamic Equations and Optimal Multi-Integral Controls with Fractional Nonlocal Conditions
Amar Debbouche, Delfim F. M. Torres
We prove existence and uniqueness of mild solutions to Sobolev type fractional nonlocal dynamic equations in Banach spaces. The Sobolev nonlocal condition is considered in terms of…
Approximate Controllability of Fractional Delay Dynamic Inclusions with Nonlocal Control Conditions
Amar Debbouche, Delfim F. M. Torres
We introduce a nonlocal control condition and the notion of approximate controllability for fractional order quasilinear control inclusions. Approximate controllability of a fracti…