175 publication(s) trouvée(s)
Article scientifique
A fractional order SIR epidemic model with nonlinear incidence rate
In this paper, a fractional order SIR epidemic model with nonlinear incidence rate is presented and analyzed. First, we prove …
Article scientifique
Existence and uniqueness of solutions to fractional differential equations in the frame of generalized Caputo fractional derivatives
The generalized Caputo fractional derivative is a name attributed to the Caputo version of the generalized fractional derivative introduced in …
Article scientifique
Effect of cellular reservoirs and delays on the global dynamics of HIV
We investigate general HIV infection models with three types of infected cells: latently infected cells, long-lived productively infected cells, and …
Article scientifique
Almost periodic and asymptotically almost periodic functions: part I
In this paper, we review indispensable properties and characterizations of almost periodic functions and asymptotically almost periodic functions in Banach …
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New mathematical model of vertical transmission and cure of vector-borne diseases and its numerical simulation
In this research article, a new mathematical model for the transmission dynamics of vector-borne diseases with vertical transmission and cure …
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Oscillation criteria for second-order nonlinear delay dynamic equations of neutral type
We investigate oscillatory behavior of solutions to a class of second-order nonlinear neutral delay dynamic equations with nonpositive neutral coefficients. …
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Qualitative analysis and sensitivity based optimal control of pine wilt disease
We design a deterministic model of pine wilt affliction to analyze the transmission dynamics. We obtain the reproduction number in …
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Coexistence of identical synchronization, antiphase synchronization and inverse full state hybrid projective synchronization in different dimensional fractional-order chaotic systems
The topic related to the coexistence of different synchronization types between fractional-order chaotic systems is almost unexplored in the literature. …
Article scientifique
A model of HIV/AIDS population dynamics including ARV treatment and pre-exposure prophylaxis
Antiretroviral treatment (ART) and oral pre-exposure prophylaxis (PrEP) have recently been used efficiently in management of HIV infection. Pre-exposure prophylaxis …
Article scientifique
A fractional-order form of a system with stable equilibria and its synchronization
There has been an increasing interest in studying fractional-order chaotic systems and their synchronization. In this paper, the fractional-order form …
Article scientifique
Discrete mathematical modeling and optimal control of the marital status: the monogamous marriage case
In this paper, we consider a discrete model of the marital status of the family dynamics. It is assumed that …
Article scientifique
Compact almost automorphic solutions for some nonlinear integral equations with time-dependent and state-dependent delay
We study the existence of compact almost automorphic solutions for a class of integral equations with time-dependent and state-dependent delay. …
Article scientifique
Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations
In this paper, by applying the technique of measure of weak noncompactness and Mönch’s fixed point theorem, we investigate the …
Article scientifique
Oscillation criteria for third-order delay differential equations
The objective in this paper is to study the oscillatory and asymptotic behavior of the solutions of a linear third-order …
Article scientifique
Numerical analysis for the Klein-Gordon equation with mass parameter
A numerical analysis of the well-known linear partial differential equation describing the relativistic wave is presented in this work. Three …
Article scientifique
Delay-dependent stabilization of a class of time-delay nonlinear systems: LMI approach
This paper deals with the state and output feedback stabilization problems for a family of nonlinear time-delay systems satisfying some …
Article scientifique
FPGA implementation of adaptive sliding mode control and genetically optimized PID control for fractional-order induction motor system with uncertain load
In this paper, we investigate the control of 4-D nonautonomous fractional-order uncertain model of a PI speed-regulated current-driven induction motor …
Article scientifique
Integral spectral Tchebyshev approach for solving space Riemann-Liouville and Riesz fractional advection-dispersion problems
The principal aim of this paper is to analyze and implement two numerical algorithms for solving two kinds of space …
Article scientifique
Fractional-order model for biocontrol of the lesser date moth in palm trees and its discretization
In this paper, a fractional-order model of palm trees, the lesser date moth and the predator is presented. Existence conditions …
Article scientifique
Mathematical analysis and numerical simulation of two-component system with non-integer-order derivative in high dimensions
In this paper, we propose efficient and reliable numerical methods to solve two notable non-integer-order partial differential equations. The proposed …