ميادة محمد أبو الحمص

ASUجامعة العلوم التطبيقية الخاصة - الصفحة الرئيسيةكلية العلومميادة محمد أبو الحمصالأبحاث

الأبحاث

Numerical ways for Solving fuzzy differential equations

Authors : Mayada abualhomos

Abstract : We will consider a type of elementary fuzzy partial differential equations that we wish to solve.The classical solution and the extension solution are discussed.

Keywords : Fuzzy ordinary differential equations,fuzzy numbers, Runge-kutta

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Fuzzy partial differential equations

Authors : Mayada abualhomos

Abstract : We will consider a type of elementary fuzzy partial differential equations that we wish to solve.The classical solution and the extension solution are discussed.

Keywords : Fuzzy partial differential equations,fuzzy numbers,classical solutions,extension solution

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Financial Obstacles And Disadvantages Of E-Learning From The Viewpoint Of Dammam Teachers

Authors : Mayada abualhomos,Tala Sasa,!Natalie Bahtiti,Tasneem Alayed,Omniya Miri

Abstract : The efforts of containing the novel virus (COVID-19) have begun to show signs of psychological impact on teachers and students across the globe. As a result of the COVID-19 pandemic, many school districts have closed for the remainder of the academic year. These closures are unfortunate because, for many students, schools are their only source of trauma-informed care and supports. When schools reopen, they must develop a comprehensive plan to meet their students’ the potential mental health needs as social distancing and awareness campaigns can be a double-edged sword, if handled inadequately. This paper evaluated the challenges of teachers in Dammam in e-learning during the period of the new coronavirus (COVID-19) global pandemic.

Keywords : E-learning,Covaid-19-,Teachers,Ancient learning,Studen

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Solve the Boussinesq-Burger equations using the LRPS chain approach

Authors : Mayada abualhomos

Abstract : A laplace residual power series method LRPS is investigated to obtain a unique solution of the coupled strong system Boussinesq

Keywords : LRPS method ,Equations of Boussinesq Burger,Taylor method, approximate solutions

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Memristor Map with Commensurate and Incommensurate Fractional Orders: Bifurcation, Chaos, and Entropy

Authors :Omar Alsayyed, Abderrahmane Abbes, Gharib Mousa Gharib , Mayada Abualhomos ,Hassan Al-Tarawneh,Maha S. Al Soudi 6, Nabeela Abu-Alkishik , Abdallah Al-Husban and Adel Ouannas

Abstract :This paper introduces a novel fractional Ikeda-based memristor map and investigates its non-linear dynamics under commensurate and incommensurate orders using various numerical techniques, including Lyapunov exponent analysis, phase portraits, and bifurcation diagrams. The results reveal diverse and complex system behaviors arising from the interplay of different fractional orders in the proposed map. Furthermore, the study employs the sample entropy test to quantify complexity and validate the presence of chaos. Non-linear controllers are also presented to stabilize and synchronize the model. The research emphasizes the system’s sensitivity to the ofractional order parameters, leading to distinct dynamic patterns and stability regimes. The memristor-based chaotic map exhibits rich and intricate behavior, making it an interesting and important area of research

Keywords :Ikeda-based memristor map; discrete fractional calculus; bifurcation; chaotic dynamics; sample entropy; control

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On Stability of a Fractional Discrete Reaction–Diffusion Epidemic Model

Authors : Omar Alsayyed , Amel Hioual , Gharib M. Gharib , Mayada Abualhomos , Hassan Al-Tarawneh , Maha S. Alsauodi , Nabeela Abu-Alkishik , Abdallah Al-Husban and Adel Ouannas .

Abstract :This paper considers the dynamical properties of a space and time discrete fractional reaction–diffusion epidemic model, introducing a novel generalized incidence rate. The linear stability of the equilibrium solutions of the considered discrete fractional reaction–diffusion model has been carried out, and a global asymptotic stability analysis has been undertaken. We conducted a global stability analysis using a specialized Lyapunov function that captures the system’s historical data, distinguishing it from the integer-order version. This approach significantly advanced our comprehension of the complex stability properties within discrete fractional reaction–diffusion epidemic models. To substantiate the theoretical underpinnings, this paper is accompanied by numerical examples. These examples serve a dual purpose: not only do they validate the theoretical findings, but they also provide illustrations of the practical implications of the proposed discrete fractional system.

Keywords :

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Bifurcation, Hidden Chaos, Entropy and Control in Hénon-Based Fractional Memristor Map with Commensurate and Incommensurate Orders

Authors : Mayada Abualhomos , Abderrahmane Abbes ,*, Gharib Mousa Gharib , Abdallah Shihadeh , Maha S. Al Soudi , Ahmed Atallah Alsaraireh and Adel Ouannas

Abstract :In this paper, we present an innovative 3D fractional Hénon-based memristor map and conduct an extensive exploration and analysis of its dynamic behaviors under commensurate and incommensurate orders. The study employs diverse numerical techniques, such as visualizing phase portraits, analyzing Lyapunov exponents, plotting bifurcation diagrams, and applying the sample entropy test to assess the complexity and validate the chaotic characteristics. However, since the proposed fractional map has no fixed points, the outcomes reveal that the map can exhibit a wide range of hidden dynamical behaviors. This phenomenon significantly augments the complexity of the fractal structure inherent to the chaotic attractors. Moreover, we introduce nonlinear controllers designed for stabilizing and synchronizing the proposed fractional Hénon-based memristor map. The research emphasizes the system’s sensitivity to fractional-order parameters, resulting in the emergence of distinct dynamic patterns. The memristor-based chaotic map exhibits rich and intricate behavior, making it a captivating and significant area of investigation.

Keywords :Hénon-based map; memristor; discrete fractional calculus; chaotic dynamics; entropy control.

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Numerical Solution of Complex Fuzzy Differential Equations by Euler and Taylor Methods

Authors :Mayada abualhomos

Abstract :In 1965, Zadeh introduced the concept of fuzzy set, which is a class of objects with a continuum of grades of membership, such a set is characterized by a membership (characteristic) function which assigns to each object a grade of membership ranging between zero and one. In 1987 O. Kaleva defined the concept of fuzzy differential equations and present some basic notions of differential equations such as differentiability, integrability, existence and uniqueness theorem for a solution to a fuzzy differential equation. He also, in 1990 studied the Cauchy problem for fuzzy differential equations and showed that it has a solution if and only if there is a subset and its locally compact. Later, M. Ma, M. Friedman, and A. Kandel 1999 introduced numerical solutions of fuzzy differential equations. In this paper we incorporate the above ideas to introduce numerical solution of complex fuzzy differential equations by Euler and Taylor methods by extending the codomain of membership function of fuzzy topological space from [0, 1] to the unit disk in the complex plane. This extension allows us getting more range and flexibility to represent objects with uncertainty and periodicity semantics without losing the full meaning of information. Also, we considered the definitions of complex fuzzy sets, cartesian and polar representation of complex membership, and Cauchy problem for CFDEs. We then found the exact solutions and approximations for Taylor and Euler methods for CFDEs by levels and where , and provide examples of the results we obtained.

Keywords : Complex Fuzzy Sets, Complex Fuzzy Differential Equations, Cauchy Problem International Journal of Membrane Science and Technology

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Novel Approach to Multi-Criteria Decision-Making Based on the n,mPR-Fuzzy Weighted Power Average Operator

Authors : Tareq Hamadneh , Hariwan Z. Ibrahim , Mayada Abualhomos , Maha Mohammed Saeed , Gharib Gharib , Maha Al Soudi and Abdallah Al-Husban

Abstract :: A significant addition to fuzzy set theory for expressing uncertain data is an n,m-th power root fuzzy set. Compared to the nth power root, Fermatean, Pythagorean, and intuitionistic fuzzy sets, n,m-th power root fuzzy sets can cover more uncertain situations due to their greater range of displayed membership grades. When discussing the symmetry between two or more objects, the innovative concept of an n,m-th power root fuzzy set over dual universes is more flexible than the current notion of an intuitionistic fuzzy set, a Pythagorean fuzzy set, and a nth power root fuzzy set. In this study, we demonstrate a number of additional operations on n,m-th power root fuzzy sets along with a number of their special aspects. Additionally, to deal with choice information, we create a novel weighted aggregated operator called the n,m-th power root fuzzy weighted power average (FWPAn m) across n,m-th power root fuzzy sets and demonstrate some of its fundamental features. To rank n,m-th power root fuzzy sets, we also define the score and accuracy functions. Moreover, we use this operator to identify the countries with the best standards of living and show how we can select the best option by contrasting aggregate results using score values. Finally, we contrast the results of the FWPAn m operator with the square-root fuzzy weighted power average (SR-FWPA), the nth power root fuzzy weighted power average (nPR-FWPA), the Fermatean fuzzy weighted power average (FFWPA), and the n,m-rung orthopair fuzzy weighted power average (n,m-ROFWPA) operators.