# Abdelhamid Elmabrok

## University of Benghazi

H-index: 3

Africa-Libya

## About Abdelhamid Elmabrok

Abdelhamid Elmabrok, With an exceptional h-index of 3 and a recent h-index of 3 (since 2020), a distinguished researcher at University of Benghazi, specializes in the field of Functional analysis.

His recent articles reflect a diverse array of research interests and contributions to the field:

Asymptotic Stability of Periodic Solutions for a Nonlinear Neutral First-order Differential Equation with Functional Delay

Magnetohydrodynamic (MHD) Waves in Plasmas

The Energy Principle of MHD Instabilities

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay on time scale

Covariant and Contravariant Symbols of Operators on

EPH-International Journal of Applied Science

### Abdelhamid Elmabrok Information

University | University of Benghazi |
---|---|

Position | Department of Mathematics Benghazi Libya. |

Citations(all) | 25 |

Citations(since 2020) | 18 |

Cited By | 12 |

hIndex(all) | 3 |

hIndex(since 2020) | 3 |

i10Index(all) | 1 |

i10Index(since 2020) | 0 |

University Profile Page | University of Benghazi |

#### Abdelhamid Elmabrok Skills & Research Interests

Functional analysis

## Top articles of Abdelhamid Elmabrok

### Asymptotic Stability of Periodic Solutions for a Nonlinear Neutral First-order Differential Equation with Functional Delay

There have been widely varied solutions for stabilization, Lyapunov's direct methodology being the most known. The Lyapunov methodology for the broadly differential equations has been terribly effective in establishing the result for stability see (Burton., 1985; Hatvani., 1997; Seifert., 1973), as well as in establishing the existence of periodic solutions of differential equations with functional delays see (Althubiti et al., 2013). However, there have been certain issues despite the efficacy of Lyapunov's technique if the functions of equations are unbounded with time and the derivative of the delay is not small and the complexity of generating the Lyapunov function, it is a kind of art for finding this function. Researchers have been working on discovering fresh ways of avoiding those problems. Burton et al.(2002) noted that some of these issues disappearing when implementing the fixed-point theory. Due to the simplicity of a fixed-point method in comparison with the Lyapunov method, the fixed-point method has become an important instrument to show the existence and uniqueness of solutions and to study the solution's stability in a multitude of mathematical problems.

Authors

Haitham Ali Makhzoum,Abdelhamid S. Elmabrok

Journal

Libyan Journal of Science & Technology

Published Date

2020

### Magnetohydrodynamic (MHD) Waves in Plasmas

The model for a magnetoplasma is given by the MHD equations, so the first aim is to give a full list of MHD equations, with the criteria of their applicability for wave propagation. The validity conditions under which the MHD equations are used require the wave frequency to be, ????≪ ???????????? and the seven eigenvectors are obtained. In MHD, the magnetic fields are frozen into the fluid and are elastic; displacing fluid elements causes magnetic restoring forces to switch on. This action appears as distorted magnetic field lines due to torsional and compressional Alfve’n waves.

Authors

AS Alhasi,AA Mousa,AS Elmabrok

Journal

مجلة كلية التربية العلمية

Published Date

2022/11/2

### The Energy Principle of MHD Instabilities

In this work the MHD instability problem is reviewed, given some static equilibrium parameters (ρ_0, p_0, B ⃗_0 and υ_0= 0), we study this equilibrium for small perturbations to see if these perturbations grow or decay. Among the several approaches, the energy principle is used, and the criteria for its application are recovered. This condition is applied in the study of the interchange, sausage and the kink instabilities.

Authors

Awad Alhasi,Abdelhamid Elmabrok

Journal

AlQalam Journal of Medical and Applied Sciences

Published Date

2022/6/14

### Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay on time scale

In this article, we will shed the light on the following nonlinear neutral dynamic equation with infinite delay\begin{eqnarray*}\label{e1}{x(t)}^{\Delta }=&& G(t,\ x\left(t\right),x\left(t-\tau \left(t\right)\right))+{Q(t,x(t-\tau (t)))}^{\Delta }\\&&+\int^t_{-\infty }{\left(\sum^p_{i=1}{D_i\left(t,s\right)}\right)f\left(x\left(s\right)\right)}\Delta s,\end{eqnarray*}where is a periodic time scale. Using the fixed-point method by Krasnoselskii, we will show that equation has a periodic solution. In addition, we will prove this solution is unique by using the contraction mapping principle.

Authors

Haitham Ali Makhzoum,Abdelhamid S Elmabrok,Rafik Elmansouri

Journal

Caspian Journal of Mathematical Sciences

Published Date

2021/10

### Covariant and Contravariant Symbols of Operators on

In this paper, we investigate covariant and contravariant symbols of operators generated by a representation of the integer group . Then we describe some properties (Existence, Uniquenes s, Boundedness, Compactnessi and Finite rank) of these operators and reformulated some know results in terms of wavelet transform (covariant and contravariant symbols).

Authors

Abdelhamid S Elmabrok

Journal

fundamental journal of mathematics and applications

Published Date

2020/12/15

### EPH-International Journal of Applied Science

Simple continued fractions for (rational and irrational) are considered. The power of the simple continued fractions are discovered. On other hand we discover how to calculate as a simple continued fractions. The most important that we did in this paper, we prove by theorem any two simple continued fractions the fraction is or(for any n, m). Many definitions and examples that we used of that low and theorem are presented.

Authors

Souad I Mugassabi,AS Elmabrok

Published Date

2020

## Abdelhamid Elmabrok FAQs

### What is Abdelhamid Elmabrok's h-index at University of Benghazi?

The h-index of Abdelhamid Elmabrok has been 3 since 2020 and 3 in total.

### What are Abdelhamid Elmabrok's top articles?

The articles with the titles of

Asymptotic Stability of Periodic Solutions for a Nonlinear Neutral First-order Differential Equation with Functional Delay

Magnetohydrodynamic (MHD) Waves in Plasmas

The Energy Principle of MHD Instabilities

Existence and uniqueness of solutions for neutral periodic integro-differential equations with infinite delay on time scale

Covariant and Contravariant Symbols of Operators on

EPH-International Journal of Applied Science

are the top articles of Abdelhamid Elmabrok at University of Benghazi.

### What are Abdelhamid Elmabrok's research interests?

The research interests of Abdelhamid Elmabrok are: Functional analysis

### What is Abdelhamid Elmabrok's total number of citations?

Abdelhamid Elmabrok has 25 citations in total.

### What are the co-authors of Abdelhamid Elmabrok?

The co-authors of Abdelhamid Elmabrok are Haitham Ali Makhzoum, Sameehah R. Alkaleeli.