11 results on '"AL-Khassawneh, Yazan Alaya"'
Search Results
2. Synchronization of Fractional Partial Difference Equations via Linear Methods.
- Author
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Abu Falahah, Ibraheem, Hioual, Amel, Al-Qadri, Mowafaq Omar, AL-Khassawneh, Yazan Alaya, Al-Husban, Abdallah, Hamadneh, Tareq, and Ouannas, Adel
- Subjects
DIFFERENCE equations ,LINEAR equations ,DIFFERENCE operators ,FINITE differences ,SYNCHRONIZATION ,BIOLOGICAL models - Abstract
Discrete fractional models with reaction-diffusion have gained significance in the scientific field in recent years, not only due to the need for numerical simulation but also due to the stated biological processes. In this paper, we investigate the problem of synchronization-control in a fractional discrete nonlinear bacterial culture reaction-diffusion model using the Caputo h-difference operator and a second-order central difference scheme and an L1 finite difference scheme after deriving the discrete fractional version of the well-known Degn–Harrison system and Lengyel–Epstein system. Using appropriate techniques and the direct Lyapunov method, the conditions for full synchronization are determined.Furthermore, this research shows that the L1 finite difference scheme and the second-order central difference scheme may successfully retain the properties of the related continuous system. The conclusions are proven throughout the paper using two major biological models, and numerical simulations are carried out to demonstrate the practical use of the recommended technique. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
3. Finite Time Stability Results for Neural Networks Described by Variable-Order Fractional Difference Equations.
- Author
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Hamadneh, Tareq, Hioual, Amel, Alsayyed, Omar, Al-Khassawneh, Yazan Alaya, Al-Husban, Abdallah, and Ouannas, Adel
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DIFFERENCE equations ,GRONWALL inequalities ,FRACTIONAL calculus ,ENGINEERING models ,SCIENTIFIC community ,PULSATILE flow - Abstract
Variable-order fractional discrete calculus is a new and unexplored part of calculus that provides extraordinary capabilities for simulating multidisciplinary processes. Recognizing this incredible potential, the scientific community has been researching variable-order fractional discrete calculus applications to the modeling of engineering and physical systems. This research makes a contribution to the topic by describing and establishing the first generalized discrete fractional variable order Gronwall inequality that we employ to examine the finite time stability of nonlinear Nabla fractional variable-order discrete neural networks. This is followed by a specific version of a generalized variable-order fractional discrete Gronwall inequality described using discrete Mittag–Leffler functions. A specific version of a generalized variable-order fractional discrete Gronwall inequality represented using discrete Mittag–Leffler functions is shown. As an application, utilizing the contracting mapping principle and inequality approaches, sufficient conditions are developed to assure the existence, uniqueness, and finite-time stability of the equilibrium point of the suggested neural networks. Numerical examples, as well as simulations, are provided to show how the key findings can be applied. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
4. On Finite-Time Blow-Up Problem for Nonlinear Fractional Reaction Diffusion Equation: Analytical Results and Numerical Simulations.
- Author
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Hamadneh, Tareq, Chebana, Zainouba, Abu Falahah, Ibraheem, AL-Khassawneh, Yazan Alaya, Al-Husban, Abdallah, Oussaeif, Taki-Eddine, Ouannas, Adel, and Abbes, Abderrahmane
- Subjects
HEAT equation ,NONLINEAR equations ,COMPUTER simulation ,BLOWING up (Algebraic geometry) ,INTEGERS - Abstract
The study of the blow-up phenomenon for fractional reaction–diffusion problems is generally deemed of great importance in dealing with several situations that impact our daily lives, and it is applied in many areas such as finance and economics. In this article, we expand on some previous blow-up results for the explicit values and numerical simulation of finite-time blow-up solutions for a semilinear fractional partial differential problem involving a positive power of the solution. We show the behavior solution of the fractional problem, and the numerical solution of the finite-time blow-up solution is also considered. Finally, some illustrative examples and comparisons with the classical problem with integer order are presented, and the validity of the results is demonstrated. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
5. Local Stability, Global Stability, and Simulations in a Fractional Discrete Glycolysis Reaction–Diffusion Model.
- Author
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Hamadneh, Tareq, Hioual, Amel, Alsayyed, Omar, AL-Khassawneh, Yazan Alaya, Al-Husban, Abdallah, and Ouannas, Adel
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FINITE differences ,PHENOMENOLOGICAL biology ,LYAPUNOV functions ,FRACTIONAL calculus ,DISCRETE systems ,GLYCOLYSIS ,DISCRETE-time systems - Abstract
In the last few years, reaction–diffusion models associated with discrete fractional calculus have risen in prominence in scientific fields, not just due to the requirement for numerical simulation but also due to the described biological phenomena. This work investigates a discrete equivalent of the fractional reaction–diffusion glycolysis model. The discrete fractional calculus tool is introduced to the discrete modeling of diffusion problems in the Caputo-like delta sense, and a fractional discretization diffusion model is described. The local stability of the equilibrium points in the proposed discrete system is examined. We additionally investigate the global stability of the equilibrium point by developing a Lyapunov function. Furthermore, this study indicates that the L1 finite difference scheme and the second-order central difference scheme can successfully preserve the characteristics of the associated continuous system. Finally, an equivalent summation representing the model's numerical formula is shown. The diffusion concentration is further investigated for different fractional orders, and examples with simulations are presented to corroborate the theoretical findings. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
6. Complexity and Chaos Analysis for Two-Dimensional Discrete-Time Predator–Prey Leslie–Gower Model with Fractional Orders.
- Author
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Hamadneh, Tareq, Abbes, Abderrahmane, Falahah, Ibraheem Abu, AL-Khassawneh, Yazan Alaya, Heilat, Ahmed Salem, Al-Husban, Abdallah, and Ouannas, Adel
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PERIODIC motion ,ALLEE effect ,CHAOS theory ,LYAPUNOV exponents ,ENTROPY ,TWO-dimensional models - Abstract
The paper introduces a novel two-dimensional fractional discrete-time predator–prey Leslie–Gower model with an Allee effect on the predator population. The model's nonlinear dynamics are explored using various numerical techniques, including phase portraits, bifurcations and maximum Lyapunov exponent, with consideration given to both commensurate and incommensurate fractional orders. These techniques reveal that the fractional-order predator–prey Leslie–Gower model exhibits intricate and diverse dynamical characteristics, including stable trajectories, periodic motion, and chaotic attractors, which are affected by the variance of the system parameters, the commensurate fractional order, and the incommensurate fractional order. Finally, we employ the 0–1 method, the approximate entropy test and the C 0 algorithm to measure complexity and confirm chaos in the proposed system. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
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7. Initial Coefficients Upper Bounds for Certain Subclasses of Bi-Prestarlike Functions.
- Author
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Hamadneh, Tareq, Abu Falahah, Ibraheem, AL-Khassawneh, Yazan Alaya, Al-Husban, Abdallah, Wanas, Abbas Kareem, and Bulboacă, Teodor
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UNIVALENT functions ,STAR-like functions ,GEOMETRIC function theory ,HOLOMORPHIC functions - Abstract
In this article, we introduce and study the behavior of the modules of the first two coefficients for the classes N Σ (γ , λ , δ , μ ; α) and N Σ * (γ , λ , δ , μ ; β) of normalized holomorphic and bi-univalent functions that are connected with the prestarlike functions. We determine the upper bounds for the initial Taylor–Maclaurin coefficients | a 2 | and | a 3 | for the functions of each of these families, and we also point out some special cases and consequences of our main results. The study of these classes is closely connected with those of Ruscheweyh who in 1977 introduced the classes of prestarlike functions of order μ using a convolution operator and the proofs of our results are based on the well-known Carathédory's inequality for the functions with real positive part in the open unit disk. Our results generalize a few of the earlier ones obtained by Li and Wang, Murugusundaramoorthy et al., Brannan and Taha, and could be useful for those that work with the geometric function theory of one-variable functions. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
8. Extractive Arabic Text Summarization-Graph-Based Approach.
- Author
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AL-Khassawneh, Yazan Alaya and Hanandeh, Essam Said
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DEEP learning ,INFORMATION retrieval ,FEATURE extraction - Abstract
With the noteworthy expansion of textual data sources in recent years, easy, quick, and precise text processing has become a challenge for key qualifiers. Automatic text summarization is the process of squeezing text documents into shorter summaries to facilitate verification of their basic contents, which must be completed without losing vital information and features. The most difficult information retrieval task is text summarization, particularly for Arabic. In this research, we offer an automatic, general, and extractive Arabic single document summarizing approach with the goal of delivering a sufficiently informative summary. The proposed model is based on a textual graph to generate a coherent summary. Firstly, the original text is converted to a textual graph using a novel formulation that takes into account sentence relevance, coverage, and diversity to evaluate each sentence using a mix of statistical and semantic criteria. Next, a sub-graph is built to reduce the size of the original text. Finally, unwanted and less weighted phrases are removed from the summarized sentences to generate a final summary. We used Recall-Oriented Research to Evaluate Main Idea (RED) as an evaluative metric to review our proposed technique and compare it with the most advanced methods. Finally, a trial on the Essex Arabic Summary Corpus (EASC) using the ROUGE index showed promising results compared with the currently available methods. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF
9. Sentence Similarity Techniques for Automatic Text Summarization.
- Author
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AL-Khassawneh, Yazan Alaya, Salim, Naomie, and Obasae, Adekunle Isiaka
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INFORMATION overload ,ABSTRACTING software ,INTERNET service providers ,RESEMBLANCE (Philosophy) ,CROSS layer optimization - Abstract
The technology of summarizing documents automatically is increasing rapidly and may give an answer for the information overload quandary. These days, document summarization is assumed an imperative part of information retrieval. With expansive amounts of documents, giving the user a short version of every document incredibly encourages the errand of discovering required documents. Text summarization is a procedure for making a packed form of a particular document that gives the users utilizable info, and summarization of multi document is engender summary distributing the meaning of the most info either explicitly or implicitly from a group of documents about main topic. In text summarization, resemblance among several sentences in a text has a major role. As such, development of methods of summarization has taken into consideration the aspect of similarities between several sentences in a text. This paper seeks to investigate different techniques of automatic summarization based on the element of sentence resemblance. Comparison is also developed for functionalities of various techniques with respect to recall, precision and F-measure values. [ABSTRACT FROM AUTHOR]
- Published
- 2016
10. Triangle Counting Approach for graph-based Association Rules Mining.
- Author
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Al-Khassawneh, Yazan Alaya Jameel, Bakar, Azuraliza Abu, and Zainudin, Suhaila
- Abstract
Graph-based Association Rules Mining (ARM) is a research area that represents a transactional database into a graph structure to optimize the search for frequent item sets. Sub-graph search is the process of pruning the search by looking for the best representation of connected nodes in a graph to represent the fully connected graphs. Triangle Counting Approach is one of the sub-graph search approaches to find the most represented graph. This study aims to employ the Triangle Counting Approach for graph-based association rules mining. A triangle counting method for graph-based ARM is proposed to prune the graph in the search for frequent item sets. The triangle counting is integrated with one of the graph-based ARM methods. It consists of four important phases; data representation, triangle construction, bit vector representation, and triangle integration with the graph-based ARM method. The performance of the proposed method is compared with the original graph-based ARM. Experimental results show that the proposed method reduces the execution time of rules generation and produces less number of rules with higher confidence. [ABSTRACT FROM PUBLISHER]
- Published
- 2012
- Full Text
- View/download PDF
11. On the Use of Data Mining Techniques in Vehicular Ad Hoc Network.
- Author
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AL-Khassawneh, Yazan Alaya and Salim, Naomie
- Published
- 2012
- Full Text
- View/download PDF
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