General Letters in Mathematics

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Linear Stability of Thin Liquid Films Flows Down on an Inclined Plane Using Long-Wave Theory

Ibrahim S. Hamad

The Long-Wave Theory is applied to investigate the dynamic stability of free thin fluid films flowing down an inclined plane. We assume that thin supported films have a thickness of 𝐻̅ and less than or equal to one hundred nm. Equations of Navier and Stokes, continuity-equation, and related boundary ...

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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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Comment from article ”Two different scenarios when the Collatz Conjecture fails”

Petro Kosobutskyy

This work substantiates the essence of the erroneous conclusion of the author of the work ‘M. Ahmed, Two different scenarios when the Collatz Conjecture fails. General Letters in Mathematics. 2021‘ about the false of Collatz’s hypothesis.

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Existence Solutions For Sequential ψ-Caputo Fractional Differential Equations

Hamid Boulares , Khaireddine Fernane

In this manuscript, we presented the technique of having solutions to sequential ψ-Caputo fractional differential equations (ψ-CFDE) with fractional boundary conditions (ψ-FBCs). Well-known fixed point techniques are used to analyze the existence of the problem. In particular, the principle ...

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New explorations and remarkable inequalities related to Fortune’s conjecture and fortunate numbers

Hayat Rezgui

Fortune's conjecture (named after the social anthropologist Reo Franklin Fortune) is an extremely elegant mathematical conjecture that always remains an open problem in number theory. It is a conjecture about prime numbers, which leads to the so-called "fortunate numbers" (not to be confused with "lucky ...

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Double SEJI Integral Transform and its Applications of Solution Integral Differential Equations

Jinan A. Jasim , Sadiq A. Mehdi , Emad A. Kuffi

The aim of this paper is to establish an efficient of a new transform called double SEJI integral transform to solve integral differential equations. Some important properties are proved by this suggested transform with theorem for the partial fractional Caputo derivatives. Finally, we use them to solve ...

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Double SEJI Integral Transform and its Applications to Differential Equations

Jinan A. Jasim , Sadiq A. Mehdi , Emad A. Kuffi

In this paper, a novel concept for a double transform in two dimensions known as the double SEJI integral transform has been proposed. Its key characteristics, including a few of its properties and theorems, have been established. A few well-known functions were also available in the Double SEJI integral ...

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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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Determine the Best Models for Time Series by using a New Suggested Technique

Obaid Mahmmood Mohsin Alzawbaee

The proposed method relies on a technique to choose the best model by giving values for the ranks of the model ARMA (p, q), where (p, q) are given the values 0, 1, 2. Every time (ACF) and (PACF) for the series of estimated errors {at} are tested ، and the model which satisfies the two inequalities (7) ...

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Bootstrap Procedure for Correlation Model of Random Design Under Strong Dependence

Mosisa Aga

This paper investigates the validity of a bootstrap least square estimate of a polynomial correlation model whose error terms are an autoregressive fractionally integrated moving average ARFIMA (p,d,q) strongly dependent time series. For an (r + 1)*1 vector B of unknown parameters, ^Ba an ...

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