Anouar Ben Mabrouk
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View article: Computational Analysis of Post-Translational Modifications in Diabetes: A Systems Biology and Structure-Based Drug Discovery Approach
Computational Analysis of Post-Translational Modifications in Diabetes: A Systems Biology and Structure-Based Drug Discovery Approach Open
Post-translational modifications (PTMs) regulate protein function, stability, and interaction networks, and are involved in the pathophysiology of diabetes mellitus through modulation of insulin signaling, β-cell function, and glucose meta…
View article: Numerical solution for stochastic mixed nonlinear Schodinger equation
Numerical solution for stochastic mixed nonlinear Schodinger equation Open
In this paper, a numerical study of a mixed nonlinear stochastic Schr¨odinger equation in the case of an additive white noise and with mixed concaveconvex, sub-super nonlinearities is developed. The influence of the stochastic part on the …
View article: TESTING FOR THE MULTIFRACTALITY IN AIR POLLUTANTS TIME SERIES AND APPLICATION TO TABUK REGION CASE STUDY
TESTING FOR THE MULTIFRACTALITY IN AIR POLLUTANTS TIME SERIES AND APPLICATION TO TABUK REGION CASE STUDY Open
Fractal analysis of time series aims to extract the hidden or complex structures issued from the associated real data, such as scaling laws, non-stationary, dynamics, and so on. In this work, the air quality index and its components are co…
View article: Advanced Traffic Flow Optimization Using Hybrid Machine Learning and Deep Learning Techniques
Advanced Traffic Flow Optimization Using Hybrid Machine Learning and Deep Learning Techniques Open
Traffic congestion is a significant issue in many cities, especially during peak hours, leading to increased pollution, noise, and stress. To address this, experts are turning to advanced computational techniques such as machine learning a…
View article: Feistel inspired novel hybrid cryptosystem for information secure processing
Feistel inspired novel hybrid cryptosystem for information secure processing Open
In this paper, we propose a novel hybrid encryption algorithm that enhances security by integrating DNA encoding, the Rabin algorithm, a one-time pad (OTP), and a Feistel-inspired structure. The algorithm begins with the application of a D…
View article: A Wavelet Multi-Scale Takagi-Sugeno Fuzzy Approach for Financial Time Series Modeling
A Wavelet Multi-Scale Takagi-Sugeno Fuzzy Approach for Financial Time Series Modeling Open
Fuzzy logic has been introduced as a modeler suitable for many situations where the data may be uncertain, and difficult to be described via the existing exact and analytic tools. However, although fuzzy models have succeeded to fit many s…
View article: A WAVELET MODELING OF CORRELATED NOISE IN SMART HEALTH MULTI-SENSORS DATA MONITORING
A WAVELET MODELING OF CORRELATED NOISE IN SMART HEALTH MULTI-SENSORS DATA MONITORING Open
This paper concerns the modeling of smart health sensors for data monitoring, where the data are eventually noisy, with correlated noise. In this work, we applied Clifford-based wavelets/multiwavelets for correlated noise in multi-sensors …
View article: Analysis of Student's Difficulty in Solving Mathematical Problems in Linear Programs
Analysis of Student's Difficulty in Solving Mathematical Problems in Linear Programs Open
This research aims to analyze students' difficulties in solving mathematical problems on linear programming material using qualitative descriptive methods based on the Polya heuristic. This research involved students with high, medium, and…
View article: Effects of nonlinear thermal radiation on the efficiency of building integrated photovoltaic systems with nanofluid cooling
Effects of nonlinear thermal radiation on the efficiency of building integrated photovoltaic systems with nanofluid cooling Open
The nonlinear effects of thermal radiation on the free convection flow of certain nanofluids along a heated wall are studied numerically using an original finite-difference method. Nanofluids are used to improve the performance of flat and…
View article: Structural Analysis and Adsorption Studies of (PbO, MgO) Metal Oxide Nanocomposites for Efficient Methylene Blue Dye Removal from Water
Structural Analysis and Adsorption Studies of (PbO, MgO) Metal Oxide Nanocomposites for Efficient Methylene Blue Dye Removal from Water Open
In the present work, magnesium oxide (MgO) and lead oxide (PbO) nanoparticles were prepared by the co-precipitation method. Their structural parameters and morphology were investigated using XRD, HRTEM, and FTIR. The formation of the phase…
View article: On some $q$-Bessel type continuous wavelet transform
On some $q$-Bessel type continuous wavelet transform Open
In this paper we continue as in \cite{Rezguietal} to exploit the modified variants of Bessel function in the framework of $q$-theory to construct wavelet operators. A generalized $q$-Bessel type function has been introduced leading to an a…
View article: Logarithmic uncertainty principle for Clifford-wavelet transform
Logarithmic uncertainty principle for Clifford-wavelet transform Open
The uncertainty principle constitutes one of the famous physical concepts which continues to attract researchers from different related fields since its discovery due to its utility in many applications. Among the classical (Fourier-based)…
View article: Multifractal wavelet dynamic mode decomposition modeling for marketing time series
Multifractal wavelet dynamic mode decomposition modeling for marketing time series Open
Marketing is the way we ensure our sales are the best in the market, our prices the most accessible, and our clients satisfied, thus ensuring our brand has the widest distribution. This requires sophisticated and advanced understanding of …
View article: A Lyapunov-Sylvester numerical method for solving a reverse osmosis model
A Lyapunov-Sylvester numerical method for solving a reverse osmosis model Open
Clean water is a necessity for many organisms, especially human life. Due to many factors, there is a significant shortage of potable water. This has led to efforts involving recovering water from wastewater or the sea through different te…
View article: New hybrid model for nonlinear systems via Takagi-Sugeno fuzzy approach
New hybrid model for nonlinear systems via Takagi-Sugeno fuzzy approach Open
Mathematical models, especially complex nonlinear systems, are always difficult to analyze and synthesize, and researchers need effective and suitable control methods to address these issues. In the present work, we proposed a hybrid metho…
View article: Testing for the Multifractality in Air Pollutants Time Series Dynamics and Application to Tabuk Region Case Study
Testing for the Multifractality in Air Pollutants Time Series Dynamics and Application to Tabuk Region Case Study Open
Fractal analysis of time series aims to extract the hidden or complex structures issued from the associated real data, such as scaling laws, non-stationary, dynamics, and so on. In the present work, the air quality index and its components…
View article: Numerical approximations and asymptotic limits of some nonlinear problems
Numerical approximations and asymptotic limits of some nonlinear problems Open
In the present work, a numerical approach is dedicated to the approximation to the solutions of a time-independent nonlinear Schr¨odinger equation in a mixed case provided with numerical tests on the asymptotic limits of the solution accor…
View article: A wavelet multifractal model for quality of life index measuring during pandemics and crises
A wavelet multifractal model for quality of life index measuring during pandemics and crises Open
In the present article, we investigate the impact of the timescale factor on the quality of life index behaviour on specific time intervals characterized by the presence of socio‐economic, political, and/or health severe movements such as …
View article: Wavelet-based systematic risk estimation for GCC stock markets and impact of the embargo on the Qatar case
Wavelet-based systematic risk estimation for GCC stock markets and impact of the embargo on the Qatar case Open
Systematic risk is one of the well-known indices involved in the market situation study. One of the disadvantages of scientific studies of market indices is the lack of involving extreme changes such as embargos and other crises in the mod…
View article: An exact computation for mixed multifractal dimensions of sets and measures
An exact computation for mixed multifractal dimensions of sets and measures Open
In the present work, we are concerned with the estimation of some mixed variants of multifractal dimensions for a special class of measures characterized by a weak Ahlfors assumption applying mixed multifractal generalizations of Hausdorff…
View article: A Wavelet Quality of Life Multi-index and the Impact of Social Media during the Pandemic and the Crisis
A Wavelet Quality of Life Multi-index and the Impact of Social Media during the Pandemic and the Crisis Open
In the present paper, we investigate the impact of the timescale factor on the quality of life index behavior on specific time intervals characterized by the presence of socio-economic, political, and/or health severe movements such as pan…
View article: On the mixed multifractal formalism for vector-valued measures
On the mixed multifractal formalism for vector-valued measures Open
The multifractal formalism for vector-valued measures holds when-ever the existence of corresponding Gibbs-like measures, supported on the singularities sets holds. We tried through this article to improve a result developed by Menceur et …
View article: Wavelet Time-Scale Modeling of Brand Sales and Prices
Wavelet Time-Scale Modeling of Brand Sales and Prices Open
Marketing is the way we ensure our sales are the best in the market, our prices the most accessible, and our clients satisfied, thus ensuring our brand has the widest distribution. This requires sophisticated and advanced understanding of …
View article: Wavelet Time Scale Modelling of Brand Sales and Prices
Wavelet Time Scale Modelling of Brand Sales and Prices Open
Marketing is the manner of how to make our sales the best in the market, our prices the most accessible, our clients satisfactory, and thus our brand is the largest distributed. This needs sophisticated and advanced understanding of the to…
View article: A Wavelet Multiscale Mathematical Model for Quality of Life Index Measuring
A Wavelet Multiscale Mathematical Model for Quality of Life Index Measuring Open
The present paper is concerned with the study of the quality of life index. Such an index has become an important index for measuring the well-being of individuals. However, the quality of life index is always subjective, intangible, and o…