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Linear Stability of Thin Liquid Films Flows Down on an Inclined Plane Using Long-Wave Theory
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 ...
A hybrid Modeling and Forecasting of Carbon dioxide Emissions in Tanzania
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 ...
Comment from article ”Two different scenarios when the Collatz Conjecture fails”
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.
Existence Solutions For Sequential ψ-Caputo Fractional Differential Equations
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 ...
New explorations and remarkable inequalities related to Fortune’s conjecture and fortunate numbers
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 ...
Double SEJI Integral Transform and its Applications of Solution Integral Differential Equations
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 ...
Double SEJI Integral Transform and its Applications to Differential Equations
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 ...
Optimal Follow Up Designs for Fractional Partial Differential Equations with Application to a Convection-Advection Model
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, ...
Determine the Best Models for Time Series by using a New Suggested Technique
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) ...