Khalid Hattaf – de nouvelles recherches associées

[HTML] Positivity preserving numerical method for epidemic model of hepatitis B disease dynamic with delay factor

MA ur Rehman, M Kazim, N Ahmed, A Raza, M Rafiq… – Alexandria Engineering …, 2022

This work attempts to study the numerical solution of nonlinear delayed Immunized Susceptible Latent Infected and Recovered (MSLIR) epidemic model of HBV disease. Reproduction number, equilibria and stability are discussed. Three different …

[PDF] GLOBAL STABILITY OF HYBRID SMOKING MODEL WITH NONLOCAL DIFFUSION

S DJILALI, S BENTOUT, A ZEB, T SAEED – Fractals, 2022

Smoking has many harmful effects due to its toxic chemicals, which cause seriousndiseases. Our major interest in this research is to formulate a spatiotemporal mathematical model that predicts the evolution of smoking in society using a …

[PDF] A FRACTIONAL SARS-COV-2 MODEL WITH ATANGANA–BALEANU DERIVATIVE: APPLICATION TO FOURTH WAVE

YUM CHU, MF YASSEN, I AHMAD, P SUNTHRAYUTH… – Fractals, 2022

A dynamical model of SARS-CoV-2 in fractional derivative using the cases of
coronavirus of the fourth wave is presented. We construct basically the model in an
integer case, and later it is extended to a fractional-order system by applying the …

[PDF] ALGORITHM FOR THE SOLUTION OF NONLINEAR VARIABLE-ORDER PANTOGRAPH FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS USING HAAR …

K SHAH, R AMIN, G ALI, N MLAIKI, T ABDELJAWAD – Fractals, 2022

This research work is related to establish a powerful algorithm for the computation of numerical solution to nonlinear variable order integro-differential equations (VO- IDEs). The adopted procedure is based on the Haar Wavelet Method (HWM) to …

On tempered Hilfer fractional derivatives with respect to functions and the associated fractional differential equations

KD Kucche, AD Mali, A Fernandez, HM Fahad – Chaos, Solitons & Fractals, 2022

We investigate the Hilfer-type operator within the topic of tempered fractional
calculus with respect to functions. This operator, the tempered Ψ-Hilfer derivative, is
defined for the first time here, and its fundamental properties are studied, such as …

[PDF] Stationary distribution of a reaction-diffusion hepatitis B virus infection model driven by Ornstein-Uhlenbeck process

G Liang, K Chang – 2022

In this paper, we investigate a reaction-diffusion hepatitis B virus (HBV) infection model with mean-reverting Ornstein-Uhlenbeck process. For the model, the existence and uniqueness of the positive solution are proved, and the sufficient …

[PDF] A New Incommensurate Fractional-Order Discrete COVID-19 Model with Vaccinated Individuals Compartment

A Dababneh, N Djenina, A Ouannas, G Grassi… – Fractal and Fractional, 2022

Fractional-order systems have proved to be accurate in describing the spread of the
COVID-19 pandemic by virtue of their capability to include the memory effects into
the system dynamics. This manuscript presents a novel fractional discrete-time …

Sobolev-type nonlinear Hilfer fractional stochastic differential equations with noninstantaneous impulsive

M Adel, ME Ramadan, H Ahmad, T Botmart – AIMS Mathematics, 2022

The existence of a mild solution for nonlinear Hilfer fractional stochastic differential
equations of the Sobolev type with non-instantaneous impulse in Hilbert space is
investigated in this study. For nonlinear Hilfer fractional stochastic differential …

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