Haitham Qawaqneh
@zuj.edu.jo
Al-Zaytoonah University of Jordan (ZUJ), Jordan.
Department of Mathematics, Faculty of IT and Science. Al-Zaytoonah University of Jordan
Scopus Publications
Scopus Publications
Habes Alsamir, Haitham Ali Qawaqneh, Gawhara Al-Musannef, and Roshdi Khalil
New York Business Global LLC
In this paper, we introduce $\\lambda_{(s,\\varphi,\\psi,L)}$-generalized Berinde type contraction and obtain some common fixed point results for such class of contractions the setting of triangular $\\alpha$-admissible mappings with respect to $\\eta$ in the framework of $b$-metric spaces. Our results generalize and extend some theorems in the literature. An example is given to support our result.
Haitham Qawaqneh, Khalil Hadi Hakami, Ali Altalbe, and Mustafa Bayram
MDPI AG
This paper is concerned with the novel exact solitons for the truncated M-fractional (1+1)-dimensional nonlinear generalized Bretherton model with arbitrary constants. This model is used to explain the resonant nonlinear interaction between the waves in different phenomena, including fluid dynamics, plasma physics, ocean waves, and many others. A series of exact solitons, including bright, dark, periodic, singular, singular–bright, singular–dark, and other solitons are obtained by applying the extended sinh-Gordon equation expansion (EShGEE) and the modified (G′/G2)-expansion techniques. A novel definition of fractional derivative provides solutions that are distinct from previous solutions. Mathematica software was used to obtain and verify the solutions. The solutions are shown through 2D, 3D, and density plots. A stability process was conducted to verify that the solutions are exact and accurate. Modulation instability was used to determine the steady-state results for the corresponding equation.
Haitham Qawaqneh and Yasser Alrashedi
MDPI AG
This paper presents the mathematical and physical analysis, as well as distinct types of exact wave solutions, of an important fluid flow dynamics model called the truncated M-fractional (1+1)-dimensional nonlinear Estevez–Mansfield–Clarkson (EMC) equation. This model is used to explain waves in shallow water, fluid dynamics, and other areas. We obtain kink, bright, singular, and other types of exact wave solutions using the modified extended direct algebraic method and the improved (G′/G)-expansion method. Some solutions do not exist. These solutions may be useful in different areas of science and engineering. The results are represented as three-dimensional, contour, and two-dimensional graphs. Stability analysis is also performed to check the stability of the corresponding model. Furthermore, modulation instability analysis is performed to study the stationary solutions of the corresponding model. The results will be helpful for future studies of the corresponding system. The methods used are easy and useful.
Haitham Qawaqneh, Jalil Manafian, Mohammed Alharthi, and Yasser Alrashedi
MDPI AG
The study consists of the distinct types of the exact soliton solutions to an important model called the beta-time fractional (1 + 1)-dimensional non-linear Van der Waals equation. This model is used to explain the motion of molecules and materials. The Van der Waals equation explains the phase separation phenomenon. Noncovalent Van der Waals or dispersion forces usually have an effect on the structure, dynamics, stability, and function of molecules and materials in different branches of science, including biology, chemistry, materials science, and physics. Solutions are obtained, including dark, dark-singular, periodic wave, singular wave, and many more exact wave solutions by using the modified extended tanh function method. Using the fractional derivatives makes different solutions different from the existing solutions. The gained results will be of high importance in the interaction of quantum-mechanical fluctuations, granular matters, and other applications of the Van der Waals equation. The solutions may be useful in distinct fields of science and civil engineering, as well as some basic physical ones like those studied in geophysics. The results are verified and represented by two-dimensional, three-dimensional, and contour graphs by using Mathematica software. The obtained results are newer than the existing results. Stability analysis is also performed to check the stability of the concerned model. Furthermore, modulation instability is studied to study the stationary solutions of the concerned model. The results will be helpful in future studies of the concerned system. In the end, we can say that the method used is straightforward and dynamic, and it will be a useful tool for debating tough issues in a wide range of fields.
Mohammad A. Obeidat, Jalal Abdallah, Tareq Hamadneh, Haitham Qawaqneh, and Ayman M. Mansour
International Information and Engineering Technology Association
ABSTRACT
Haitham Qawaqneh, Asim Zafar, Muhammad Raheel, Abdullah A. Zaagan, Emad H. M. Zahran, Adem Cevikel, and Ahmet Bekir
Springer Science and Business Media LLC
Haitham Qawaqneh, Ali Altalbe, Ahmet Bekir, and Kalim U. Tariq
American Institute of Mathematical Sciences (AIMS)
<p>This research explores some modernistic soliton solutions to the (3+1)-dimensional periodic potential the Gross–Pitaevskii equation with a truncated M-fractional derivative plays a significant role in Bose–Einstein condensation, which describes the dynamics of the condensate wave function. The obtained results include trigonometric, hyperbolic trigonometric and exponential function solutions. Three techniques named: the $ \\exp_a $ function method, the Sardar sub-equation method, and the extended $ (G'/G) $-expansion approach are employed to achieve a variety of new solutions for the governing model. More comprehensive information about the dynamical representation of some of the solutions is being presented by visualizing the 2D, 3D and contour plots. This work reveals a number of new types of traveling-wave solutions, such as the double periodic singular, the periodic singular, the dark singular, the dark kink singular, the periodic solitary singular, and the singular soliton solutions. These novel solutions are not the same as those that were previously studied for this governing equation. The presented techniques demonstrate clarity, efficacy, and simplicity, revealing their relevance to diverse sets of dynamic and static nonlinear equations pertaining to evolutionary events in computational physics, in addition to other real-world applications and a wide range of study fields for addressing a variety of other nonlinear fractional models that hold significance in the fields of applied science and engineering.</p>
Haitham Qawaqneh, Hasanen A. Hammad, and Hassen Aydi
American Institute of Mathematical Sciences (AIMS)
<abstract><p>This article delves deeply into some mathematical basic theorems and their diverse applications in a variety of domains. The major issue of interest is the Banach Fixed Point Theorem (BFPT), which states the existence of a unique fixed point in fractional metric spaces. The significance of this theorem stems from its utility in a variety of mathematical situations for approximating solutions and resolving iterative problems. On this foundational basis, the study expands by introducing the concept of fractional geometric contraction mappings, which provide a new perspective on how convergence develops in fractional metric spaces.</p></abstract>
Habes Alsamir and Haitham Qawaqneh
IEEE
In this paper, we present a new concept of generalized cyclic $(\\rho, \\theta)-\\psi$ contraction via the extended $M_{F}$ -simulation function and establish the existence of such a contraction in a rectangular $b$ -metric space. Our proposed contraction generalizes and extends several existing works in the literature. Moreover, we provide an illustrative example to validate and support the effectiveness of our proposed concept.
Abdelrahman Aloudat, Fatima S. Al-Sha'ar, Haitham Al-Qawaqneh, and Amer Dababneh
IEEE
In this paper, we address the Bernstein expansion of rational Differentiable functions in Newton Divided Differences form. We extend the approach of Bernstein to rational polynomials and approximate the truncation error. Additionally, we show essential properties for the approach in the Newton Divided Differences. Subsequently, we prove that rational continuous functions can be optimized by the minimum and maximum Bernstein control points that occur at the corresponding nods.
Fadi B Ahmad, Haitham Qawaqneh, Amied Zraiqat, and Sabah Jamil Al Nawaiseh
IEEE
The paper investigates the significance of interactive lesson design skills on the effectiveness of Nearpod in developing the online interactive lesson design skills of mathematics and computer teachers. Achieving the study objectives necessitates adopting the semi-experimental approach through one experimental group and two pre- and post-measurements. The study sample consisted of (50) male and female teachers from the Directorate of Naour District. The study sample consisted of (50) male and female teachers from the Directorate of Education for Naour District in Amman. The note card is used as the study instrument. The findings indicate apparent differences in the means and standard deviations of the responses of the study sample in the pre- and post-measurements of the practical performance note card of “Nearpod” and its use in designing and producing digital interactive lessons.
Hassan Alzoubi, Waseem Al-Mashaleh, Haitham Qawaqneh, and Mohammad Al-kafaween
IEEE
We consider helicoidal surfaces in the 3-dimensional Euclidean space of coordinate finite type with respect to the third fundamental form III, i.e., their position vector $\\boldsymbol{x}$ satisfies the relation $\\boldsymbol{\\varDelta}^{\\boldsymbol{III}} \\boldsymbol{r}=\\boldsymbol{Ar}$, where $\\boldsymbol{A}$ is a square matrix of order 3. We show that helicoid is the only helicoidal surface satisfying $\\boldsymbol{\\varDelta}^{\\boldsymbol{III}} \\boldsymbol{r}=\\boldsymbol{Ar}$.
Haitham Qawaqneh, Fadi Bani Ahmad, and Ali Ratib Alawamreh
International Association of Online Engineering (IAOE)
This research investigates the impact of virtual laboratories (VLabs) based on artificial intelligence (AI) on developing students’ motivation toward learning mathematics. A semiexperimental approach is used to achieve the research objectives. The research sample, consisting of 80students from the seventh grade, is selected by the purposeful sampling approach. The research sample is randomly distributed into three groups: two experimental groups and one control group. The first group of 26 students is taught using the AI-based VLabs, while the second group of 27 students is taught using a VLab based on 3D visual imaging, and the third group, a control group consisting of 27 students, is taught using the traditional approach. The research instrument, a questionnaire for learning motivation, was designed after ensuring its validity and reliability. The findings of the motivation questionnaire indicate that students in the first experimental group have more motivation to learn mathematics than students in the second experimental group and the control group. The results also show that the students in the second experimental group have more motivation to learn mathematics than the students in the control group. Given the said findings, the research recommends using virtual laboratories based on artificial intelligence and all its applications in the learning process due to their impact on students’ mathematics learning.
Haitham Qawaqneh, Mohd Salmi Md Noorani, and Hassen Aydi
American Institute of Mathematical Sciences (AIMS)
<abstract><p>In this work, we initiate the notion of a fuzzy cyclic $ (\\alpha, \\beta) $-admissibility to establish some fixed point results for contraction mappings involving a generalized simulation function in the class of fuzzy $ b $-metric spaces. We give some illustrative examples to validate the new concepts and obtained results. At the end, we present an application on a Fredholm integral equation.</p></abstract>
Haitham Qawaqneh, Mohd Salmi Noorani, and Habes Alsamir
IEEE
The aim of this article is to demonstrate the existence solution as a fixed point result of f : X × X → X , where f is a mapping, within the setting of b-multiplicative metric space embedded with simulation function. In this direction, we grant a few corollaries and an example in the back of the given concepts and displayed results.
Habes Alsamir, Haitham Qawaqneh, Hassen Aydi, and Wasfi Shatanawi
IEEE
In this paper, we introduce a $\\varrho - {\\mathfrak{Z}}$- contraction mapping and obtained some fixed point results for such class of contractions the setting of triangular ϱ-admissible mapping in the framework of b-metric-like spaces. Our results generalize and extend some theorems in the literature. An example is given to support these results.
Haitham Qawaqneh, Fadi Bani Ahmad, and Amjed Zraiqat
IEEE
The current paper aims to identify the effect of using the Cyber Hunt Strategy on the development of academic achievement and the retention of the impact of learning in mathematics among undergraduate students in Jordan. To achieve the aims of the study, a Cyber Hunt Strategy in a form of an educational website is designed and a test to measure academic achievement. The results show the effectiveness of this strategy in developing academic achievement in mathematics of students.
Haitham Qawaqneh, Mohd Salmi Md Noorani, Hassen Aydi, Amjed Zraiqat, and Arslan Hojat Ansari
Hindawi Limited
Partial b -metric spaces are characterised by a modified triangular inequality and that the self-distance of any point of space may not be zero and the symmetry is preserved. The spaces with a symmetric property have interesting topological properties. This manuscript paper deals with the existence and uniqueness of fixed point points for contraction mappings using triangular weak α -admissibility with regard to η and C -class functions in the class of partial b -metric spaces. We also introduce an example to demonstrate the obtained results.