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Hamiltonian Formulation of Singular Lagrangians on Time Scales

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Chinese Physics Letters 2008年第5期25卷 1720-1723页

作者： JARAD Fahd BALEANU Dumitru MARAABA abdelj.wad thabet Department of Mathematics and Computer Science Faculty of Arts and Sciences Cankaya University-06530 Ankara Turkey

The Hamiltonian formulation of Lagrangian on time scale is investigated and the equivalence of Hamilton and Euler-Lagrange equations is obtained. The role of Lagrange multipliers is discussed.

关键词： supernova explosion proto-neutron star shock wave

New LMI Conditions for Reduced-order Observer of Lipschitz Discrete-time Systems: Numerical and Experimental Results

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International Journal of Automation and computing 2019年第5期16卷 644-654页

作者： Noussaiba Gasmi Assem thabet Mohamed Aoun Research Center for Automatic Control of Nancy CRAN-CNRS UMR 7039University of LorraineCosnes et Romain 54400France Modeling Analysis and Control of Systems(MACS)LaboratoryNational Engineering School of GabesUniversity of GabesGabes 6072Tunisia

The objective of this paper is to propose a reduced-order observer for a class of Lipschitz nonlinear discrete-time *** conditions that guarantee the existence of this observer are presented in the form of linear matrix inequalities(LMIs). To handle the Lipschitz nonlinearities, the Lipschitz condition and the Young′s relation are adequately operated to add more degrees of freedom to the proposed LMI. Necessary and sufficient conditions for the existence of the unbiased reduced-order observer are given. An extension to H_∞ performance analysis is considered in order to deal with H_∞ asymptotic stability of the estimation error in the presence of disturbances that affect the state of the system. To highlight the effectiveness of the proposed design methodology, three numerical examples are considered. Then, high performances are shown through real time implementation using the ARDUINO MEGA 2560 device.

关键词： Reduced-order observer discrete-time systems Lipschitz systems H_∞ ARDUINO MEGA 2560 device

Study of Fractional Order Dynamical System of Viral Infection Disease under Piecewise Derivative

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Computer Modeling in Engineering & Sciences 2023年第7期136卷 921-941页

作者： Kamal Shah Hafsa Naz thabet abdelj.wad Bahaaeldin Abdalla Department of Mathematics and Sciences Prince Sultan UniversityP.O.Box 66833Riyadh11586Saudi Arabia Department of Mathematics University of MalakandChakdara Dir(L)Khyber Pakhtunkhwa18000Pakistan Department of Medical Research China Medical UniversityTaichung40402Taiwan

This research aims to understand the fractional order dynamics of the deadly Nipah virus(NiV)*** focus on using piecewise derivatives in the context of classical and singular kernels of power operators in the Caputo sense to investigate the crossover behavior of the considered dynamical *** establish some qualitative results about the existence and uniqueness of the solution to the proposed *** utilizing the Newtonian polynomials interpolation technique,we recall a powerful algorithm to interpret the numerical findings for the aforesaid ***,we remark that the said viral infection is caused by an RNA type virus which can transmit from animals and also from an infected person to *** bats which are also known as flying foxes are one of the sources of transmission of NiV *** in this work,we investigate its transmission mechanism through some new concepts of fractional calculus for further analysis and *** present the approximate results for different compartments using different fractional *** using the piecewise derivative concept,we detect the crossover ormulti-steps behavior in the transmission dynamics of the mentioned ***,the considered form of the derivative is used to deal with problems exhibiting crossover behaviors.

关键词： NiV disease fractional calculus piecewise derivative qualitative results newton polynomial RNA virus

COVID-19 mortality paradox(United States vs Africa):Mass vaccination vs early treatment

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World Journal of Experimental Medicine 2024年第1期14卷 6-12页

作者： Mina thabet Kelleni Department of Pharmacology College of MedicineMinia UniversityMinya 61111Egypt

The coronavirus disease 2019(COVID-19)mortality rate in 55 African countries is almost 4.5 times lower than in the coronavirus disease 2019(COVID-19)despite Africa having over 4.2 times more *** mortality paradox is also evident when comparing Nigeria,a heavily populated,poorly vaccinated and weakly mandated country to Israel,a small,highly vaccinated and strictly mandated *** has almost 4 times lower COVID mortality than *** this Field of Vision perspective,I explain how this paradox has evolved drawing upon my academic,clinical and social *** April 2020,I’ve developed and been using the Egyptian immune-modulatory Kelleni’s protocol to manage COVID-19 patients including pediatric,geriatric,pregnant,immune-compromised and other individuals suffering from multiple ***’s unfortunate that severe acute respiratory syndrome coronavirus 2 is still evolving accompanied by more *** in Africa,we’ve been able to live without anxiety or mandates throughout the pandemic because we trust science and adopted early treatment using safe,and effective repurposed drugs that have saved the majority of COVID-19 *** article represents an African and Egyptian tale of honor.

关键词： COVID-19 Early treatment Kelleni’s Protocol Mandates Mortality Paradox SARS-CoV-2 Nucleic acid based vaccines

Modeling of Heart Rate Variability Using Time-Frequency Representations

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Computers, Materials & Continua 2021年第10期69卷 1289-1299页

作者： Ghaylen Laouini Ibrahim Mahariq thabet abdelj.wad Hasan Aksoy College of Engineering and Technology American University of the Middle EastKuwait Department of Mathematics and General Sciences Prince Sultan UniversityRiyadh11586Saudi Arabia Department of Medical Research China Medical UniversityTaichung40402Taiwan Department of Computer Science and Information Engineering Asia UniversityTaichungTaiwan Department of Electrical&Electronic Engineering University of Turkish Aeronautical AssociationAnkara06790Turkey

The heart rate variability signal is highly correlated with the respiration even at high workload *** is also known that this phenomenon still exists during increasing *** the current study,we managed to model this correlation during increasing exercise using the time varying integral pulse frequency modulation(TVIPFM)model that relates the mechanical modulation(MM)to the respiration and the cardiac *** modulation of the autonomic nervous system(ANS)is able to simultaneously decrease sympathetic and increase parasympathetic *** TVIPFM model takes into consideration the effect of the increasing exercise test,where the effect of a time-varying threshold on the heart period is *** motivation is to analyze the heart rate variability(HRV)acquired by time varying integral pulse frequency modulation using time frequency *** estimated autonomic nervous system(ANS)modulating signal is filtered throughout the respiration using a time varying filtering,during exercise stress *** after summing power of the filtered signal,we compare the power of the filtered modulation of the ANS obtained with different time frequency representations:smoothed pseudo Wigner–Ville representation,spectrogram and their *** that,we used a student t-test p<0.01 to compare the power of heart rate variability in the frequency band of respiration and elsewhere.

关键词： Heart rate variability respiration TVIPFM mechanical modulation autonomic nervous system

On the existence and the uniqueness theorem for fractional differential equations with bounded delay within Caputo derivatives

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Science China Mathematics 2008年第10期51卷 1775-1786页

作者： thabet abdelj.wad MARAABA Fahd JARAD Dumitru BALEANU Department of Mathematics and Computer Sciences ankaya University06530 Ankara Turkey Department of Mathematics and Computer Sciences ankaya University06530 Ankara Turkey On leave of absence from Institute of Space Sciences P.O.BOX MG-23 R 76900 Magurele Romania

Local and global existence and uniqueness theorems for a functional delay fractional differential equation with bounded delay are investigated. The continuity with respect to the initial function is proved under Lipsc... 详细信息

关键词： fractional Caputo derivative C r -condition delay Lipschitz 26A33

Quasi Controlled K-Metric Spaces over C^(*)-Algebras with an Application to Stochastic Integral Equations

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Computer Modeling in Engineering & Sciences 2023年第6期135卷 2649-2663页

作者： Ouafaa Bouftouh Samir Kabbaj thabet abdelj.wad Aziz Khan Department of Mathematics Laboratory of Partial Differential EquationsAlgebra and Spectral GeometryFaculty of SciencesIbn Tofail UniversityKenitraBP 133Morocco Department of Mathematics and Sciences Prince Sultan UniversityP.O.Box 66833Riyadh11586Saudi Arabia Department of Medical Research China Medical UniversityTaichung40402Taiwan

Generally,the field of fixed point theory has attracted the attention of researchers in different fields of science and engineering due to its use in proving the existence and uniqueness of solutions of real-world dynamic models.C^(∗)-algebra is being continually used to explain a physical system in quantum field theory and statistical mechanics and has subsequently become an important area of *** concept of a C^(∗)-algebra-valued metric space was introduced in 2014 to generalize the concept of metric *** fact,It is a generalization by replacing the set of real numbers with a C^(∗)-*** that,this line of research continued,where several fixed point results have been obtained in the framework of C^(∗)-algebra valued metric,aswell as(more general)C^(∗)-algebra-valued b-metric spaces andC^(∗)-algebra-valued extended b-metric *** recently,based on the concept and properties of C^(∗)-algebras,we have studied the quasi-case of such spaces to give a more general notion of relaxing the triangular inequality in the asymmetric *** this paper,we first introduce the concept of C^(∗)-algebra-valued quasi-controlledK-metric spaces and prove some fixed point theorems that remain valid in this *** support our main results,we also furnish some exampleswhichdemonstrate theutility of ***,as an application,we useour results to prove the existence and uniqueness of the solution to a nonlinear stochastic integral equation.

关键词： C^(*)-algebra-valued quasi controlled K-metric spaces left convergence right convergence fixed point contraction

On Fuzzy Conformable Double Laplace Transform with Applications to Partial Differential Equations

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Computer Modeling in Engineering & Sciences 2023年第3期134卷 2163-2191页

作者： thabet abdelj.wad Awais Younus Manar A.Alqudah Usama Atta Department of Mathematics and Sciences Prince Sultan UniversityRiyadh11586Saudi Arabia Department of Medical Research China Medical UniversityTaichung40402Taiwan Centre for Advanced Studies in Pure and Applied Mathematics Bahauddin Zakaryia UniversityMultan60000Pakistan Department of Mathematical Sciences Faculty of SciencesPrincess Nourah Bint Abdulrahman UniversityRiyadh11671Saudi Arabia

The Laplace transformation is a very important integral transform,and it is extensively used in solving ordinary differential equations,partial differential equations,and several types of integro-differential *** purpose in this study is to introduce the notion of fuzzy double Laplace transform,fuzzy conformable double Laplace transform(FCDLT).We discuss some basic properties of *** obtain the solutions of fuzzy partial differential equations(both one-dimensional and two-dimensional cases)through the double Laplace *** demonstrate through numerical examples that our proposed method is very successful and convenient for resolving partial differential equations.

关键词： Fuzzy conformable laplace transform fuzzy double laplace transform fuzzy conformable double laplace transform fuzzy conformable partial differential equation

On Nonlinear Conformable Fractional Order Dynamical System via Differential Transform Method

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Computer Modeling in Engineering & Sciences 2023年第8期136卷 1457-1472页

作者： Kamal Shah thabet abdelj.wad Fahd Jarad Qasem Al-Mdallal Department of Mathematics and Sciences Prince Sultan UniversityRiyadh11586Saudi Arabia Department of Mathematics University of MalakandChakdara Dir(L)Khyber Pakhtunkhwa18000Pakistan Department of Medical Research China Medical UniversityTaichung40402Taiwan Department of Mathematics Faculty of Arts and Sciences莂nkaya UniversityAnkara06790Turkey Department of Mathematical Sciences UAE UniversityAl-Ain15551United Arab Emirates

This article studies a nonlinear fractional order Lotka-Volterra prey-predator type dynamical *** the proposed study,we consider the model under the conformable fractional order derivative(CFOD).We investigate the mentioned dynamical system for the existence and uniqueness of at least one ***,Schauder and Banach fixed point theorems are utilized to prove our ***,an algorithm for the approximate analytical solution to the proposed problem has been *** this regard,the conformable fractional differential transform(CFDT)technique is used to compute the required results in the form of a *** Matlab-16,we simulate the series solution to illustrate our results ***,a comparison of our solution to that obtained for the Caputo fractional order derivative via the perturbation method is given.

关键词： Prey predator model existence results conformable fractional differential transform