OALib Journal
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Jan 29, 2021Open    AccessArticle

Monotileable Amenable Groups: An Application

Amal Mohammed Ahmed Gaweash, Hayat Yousuf Ismail Bakur, Mariam Almahdi Mohammed Mulla
We study actions of countable discrete groups which are Monotileable amenable groups in the sense that there exists a mean on X which is invariant under the action of G. Assuming that G is nonamenable, we obtain structural results for the stabilizer subgroups of amenable actions which allow us to relate the first l2-Betti number of G with that of the stabilizer subgroups.
Open Access Library J. Vol.8, 2021
Doi:10.4236/oalib.1107012


Oct 23, 2020Open    AccessArticle

Existence of Multiple Solutions for p-Laplacian Problems Involving Critical Sobolev-Hardy Exponents and Singular Potential

Zeid I. Almuhiameed
In this paper, we establish the existence of multiple solutions for p-Laplacian problems involving critical exponents and singular potential, by using Ekeland's variational principle and mountain pass theorem without Palais-Smale conditions.
Open Access Library J. Vol.7, 2020
Doi:10.4236/oalib.1106812


Oct 15, 2020Open    AccessArticle

A Fractional Order Model for the Transmission Dynamics of Measles with Vaccination

Nnaemeka S. Aguegboh, Nkem R. Nwokoye, Netochukwu E. Onyiaji, Ogechi R. Amanso, Dominic O. Oranugo
In this paper, the fractional order model was adopted to describe the dynamics of measles and to establish how the virus that causes measles is transmitted as well as how to mitigate the conditions that cause the spread. We showed the existence of the equilibrium states. The threshold parameter of the model was evaluated in terms of parameters in the model using the next generation matrix approach. We provided the conditions for the stability of the disease free and the endemic equilibrium point...
Open Access Library J. Vol.7, 2020
Doi:10.4236/oalib.1106670


Sep 29, 2020Open    AccessArticle

Generalized Hermite-Hadamard Type Inequalities Related to Katugampola Fractional Integrals

Hao Wang
In this paper, we have established a new identity related to Katugampola fractional integrals which generalize the results given by Topul et al. and Sarikaya and Budak. To obtain our main results, we assume that the absolute value of the derivative of the considered function is p-convex. We derive several parameterized generalized Hermite-Hadamard inequalities by using the obtained equation. More new inequalities can be presented by taking special parameter values for , and p. Also, we provide...
Open Access Library J. Vol.7, 2020
Doi:10.4236/oalib.1106793


Aug 10, 2020Open    AccessArticle

Multiple Solutions for Nonhomogeneous Kirchoff-Type Problem with Hardy-Sobolev Critical Exponent

Zeid I. Almuhiameed
In this work, we show the existence of multiple solutions for nonhomogeneous Kirchoff-type problem with Hardy-Sobolev critical exponent, by using Ekeland's variational principle and mountain pass theorem without Palais-Smale conditions.
Open Access Library J. Vol.7, 2020
Doi:10.4236/oalib.1106607


Jul 24, 2020Open    AccessArticle

Optimal Inequality in the One-Parameter Arithmetic and Harmonic Means

Mohammed El Mokhtar Ould El Mokhtar, Hamad Alharbi
This research work considers the inequalities: (Ieq). The researchers attempt to find an answer as to what are the best possible parameters α,β that (Ieq) can be hold? The main tool is the optimization of some suitable functions that we seek to find out.
Open Access Library J. Vol.7, 2020
Doi:10.4236/oalib.1106586


Jun 23, 2020Open    AccessArticle

Fractional Calculus, Fractional Differential Equations and Applications

Mariam Almadi Mohammed Mu’lla
In this paper, we describe two approaches to the definition of fractional derivatives. We investigate the accuracy of the analysis method for solving the fractional order problem. We also give some improvements for the proof of the existence and uniqueness of the solution in fractional differential equations. Treatment of a fractional derivative operator has been made associated with the extended Appell hypergeometric functions of two or three variables and Lauricella hypergeometric function of ...
Open Access Library J. Vol.7, 2020
Doi:10.4236/oalib.1106244


Jun 08, 2020Open    AccessArticle

e-Abacus Diagram Rows Rearranging Technology

Ammar S. Mahmood, Abdulrazzaq T. Al-Hussaini
In our ordinary lives, we need to re-arrange our priorities so that we present and delay things according to the appropriateness of the circumstance we are going through. Also when we write something, after its completion we ask what if we made some adjustments to it in terms of presentation and delay. The question here is, can we use this technique to replace the rows in the e-abacus diagram, and know the representation of the new partition from the original partition?
Open Access Library J. Vol.7, 2020
Doi:10.4236/oalib.1106407


May 29, 2020Open    AccessArticle

Octave Analysis of Logistic Growth Model for Pig Pen: Its Economic Viability

I. S. S. Abang, O. N. Nze, O. A. Oriola, I. S. Amasiatu
Pig pen is fast becoming a very lucrative system of farming in Nigeria, most especially in the South-Eastern region of the country. This form of animal farming is very cost effective and does not need much training before someone ventures into it, as pigs are a very special breed of animals that can eat almost any kind of food, and they do not fall sick easily when compared with chicken poultry or fish poultry business. This paper also discussed how swine breeding could help in addressing enviro...
Open Access Library J. Vol.7, 2020
Doi:10.4236/oalib.1106215


May 26, 2020Open    AccessArticle

New Principle of Busbar Protection Based on Active Power and Extreme Learning Machine

Syed Hassan Lal Gilani, Xingxing Dong, Haiyan Xu
In order to improve the reliability of busbar protection, a new fast busbar protection algorithm based on active power and extreme learning machine is proposed. By performing S-transformation on the fault voltage and current traveling wave, the active power amplitude within 0.1 ms after the fault is obtained. Simulate different fault types in the busbar area and build a bus fault feature vector sample set. The intelligent model of fault learning of extreme learning machine is established, and th...
Open Access Library J. Vol.7, 2020
Doi:10.4236/oalib.1106167


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