General Letters in Mathematics

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Preface to the Special Issue on the International Conference on Cyber Security and recent trends in Mathematical Modeling

Saiida Lazaar , Moulay Rchid Sidi Ammi

This special issue is an outgrowth of SMM’2020 the International Conference on Cyber Security and recent trends in Mathematical Modeling. SMM’2020 addressed the latest research on cybersecurity and mathematical modelling. It dealt with relevant scientific fields facing challenges for securing ...

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Modeling and Analysis of High Power Synchronous Generator

Aziza Benaboud

This paper proposes a mathematical model of synchronous generator used as an interface between power plant energy sources and the electrical grid. Power electronic converter is then needed to adapt their synchronous speed to the network frequency. Control method is proposed in order to optimize the power ...

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Local existence and uniqueness for a fractional SIRS model with Mittag–Leffler law

Moulay Rchid Sidi Ammi , Mostafa Tahiri , Delfim F. M. Torres

In this paper, we study an epidemic model with Atangana-Baleanu-Caputo fractional derivative. We obtain a special solution using an iterative scheme via Laplace transformation. Uniqueness and existence of a solution using the Banach fixed point theorem are studied. A detailed analysis of the stability ...

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Analysis of the spread of COVID-19 in Morocco based on a SEIR epidemic model

Moulay Rchid Sidi Ammi , Mostafa Tahiri

Fractional calculus has been widely used in mathematical modeling of evolutionary systems with memory effect on dynamics. In order to illustrate the efficiency of this non-integer order calculus, we employ SEIR models to model the dynamics, with and without memory, of the spread of Covid-19 in Morocco ...

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Forecasting of Covid-19 deaths in South Africa using the autoregressive integrated moving average time series model

Musyoka Kinyili , Maurice Wanyonyi

Covid-19 epidemic continues to escalate globally posing life threats to humans. Time series modeling plays a key role for the prediction of data-driven scenarios. A case for Covid-19 pandemic future numbers occurrence is one of the open forecasting scenario for application of the time series modeling. ...

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Solving the Transportation Problem Using a Multi-Attribute Model

Basher. F. Mohammed

The transportation problem, in operations research, is perhaps one of the issues that is studied more. There exists a plenty number of models to resolve the problem of simply one product, which does not take place now like the identical case of multiples products. The case had been studied where in ...

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A hybrid Modeling and Forecasting of Carbon dioxide Emissions in Tanzania

Twahil Hemed Shakiru , Xiaohui Liu , Qing Liu

Carbon dioxide (CO2) emissions is among of global environmental pollutants contributing to climate change. The current study aims to create an Autoregressive Integrated Moving Average with external factors (ARIMAX) model to predict CO2 emissions in Tanzania. In this study, an Autoregressive ...

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Detection of Outlier in Time Series with Application to Dohuk Dam Using the SCA Statistical System

Shelan Saied Ismaeel , Kurdistan M.Taher Omar , Sameera Abdulsalam Othman

Outliers are data points or observations that stand out significantly from the rest of the group in terms of size or frequency. They are also referred to as "abnormal data". Before fitting a forecasting model, outliers are often eliminated from the data set, or if not removed, the forecasting model ...

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Galerkin-Bernstein Approximations of the System of Time Dependent Nonlinear Parabolic PDEs

Hazrat Ali , Nilormy Gupta Trisha , Md. Shafiqul Islam

The purpose of the research is to find the numerical solutions to the system of time dependent nonlinear parabolic partial differential equations (PDEs) utilizing the Modified Galerkin Weighted Residual Method (MGWRM) with the help of modified Bernstein polynomials. An approximate solution of the system ...

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Optimal Follow Up Designs for Fractional Partial Differential Equations with Application to a Convection-Advection Model

Edward L. Boone , Ryad A. Ghanam , Albert H. Lee

As the mathematical properties of Fractional Partial Differential Equations are rapidly being developed, there is an increasing desire by researchers to employ these models in real world data oriented contexts. The main barrier to employing these models is the choice of the fractional order alpha. Recently, ...

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