81 citations · 392 across the 10 of their papers we have counts for
10 papers
Modeling the dynamics of the Hepatitis B virus via a variable-order discrete system
Meriem Boukhobza, Amar Debbouche, Lingeshwaran Shangerganesh +1
We investigate the dynamics of the hepatitis B virus by integrating variable-order calculus and discrete analysis. Specifically, we utilize the Caputo variable-order difference ope…
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…
Analysis of Hilfer fractional integro-differential equations with almost sectorial operators
Kulandhaivel Karthikeyan, Amar Debbouche, Delfim F. M. Torres
We investigate a class of nonlocal integro-differential equations involving Hilfer fractional derivatives and almost sectorial operators. We prove existence results by applying Sch…
Traveling wave solutions of some important Wick-type fractional stochastic nonlinear partial differential equations
Hyunsoo Kim, Rathinasamy Sakthivel, Amar Debbouche +1
In this article, exact traveling wave solutions of a Wick-type stochastic nonlinear Schrödinger equation and of a Wick-type stochastic fractional Regularized Long Wave-Burgers (RLW…
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…
Approximate Controllability of Fractional Nonlocal Delay Semilinear Systems in Hilbert Spaces
Amar Debbouche, Delfim F. M. Torres
We study the existence and approximate controllability of a class of fractional nonlocal delay semilinear differential systems in a Hilbert space. The results are obtained by using…