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Computer Modeling in Engineering & Sciences 2024年第3期138卷 2973-3012页

作者： Andrew Omame Mujahid Abbas dumitru b.leanu Department of Mathematics Federal University of TechnologyOwerri460114Nigeria Abdus Salam School of Mathematical Sciences Government College UniversityLahore54000Pakistan Department of Mathematics Government College UniversityLahore54000Pakistan Department of Computer Science and Mathematics Labanese American UniversityBeirutLebanon Institute of Space Sciences Magurele-BucharestRomania Department of Medical Research China Medical University HospitalChina Medical UniversityTaichung40402Taiwan

A patient co-infected with COVID-19 and viral hepatitis b can be atmore risk of severe complications than the one infected with a single *** study develops a comprehensive stochastic model to assess the epidemiological impact of vaccine booster doses on the co-dynamics of viral hepatitis b and *** model is fitted to real COVID-19 data from *** proposed model incorporates logistic growth and saturated incidence *** analyses using the tools of stochastic calculus,are performed to study appropriate conditions for the existence of unique global solutions,stationary distribution in the sense of ergodicity and disease *** stochastic threshold estimated from the data fitting is given by:R_(0)^(S)=*** assessments are implemented to illustrate the impact of double-dose vaccination and saturated incidence functions on the dynamics of both *** effects of stochastic white noise intensities are also highlighted.

关键词： Viral hepatitis b COVID-19 stochastic model extinction ergodicity real data

A novel fractional case study of nonlinear dynamics via analytical approach

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Applied Mathematics(A Journal of Chinese Universities) 2024年第2期39卷 276-290页

作者： Hassan Khan Adnan Khan Rasool Shah dumitru b.leanu Department of Mathematics Abdul Wali khan UniversityMardan 23200Pakistan Department of Mathematics Faculty of Arts and SciencesCankaya UniversityAnkara 06530Turkey Institute of Space Sciences Magurele-BucharestRomania

The present work describes the fractional view analysis of Newell-Whitehead-Segal equations,using an innovative *** work is carried with the help of the Caputo operator of fractional *** analytical solutions of some numerical examples are presented to confirm the reliability of the proposed *** derived results are very consistent with the actual solutions to the problems.A graphical representation has been done for the solution of the problems at various fractional-order ***,the solution in series form has the desired rate of convergence and provides the closed-form *** is noted that the procedure can be modified in other directions for fractional order problems.

关键词： Homotopy Perturbation method Shehu transform Newell-Whitehead-Segel Equation Caputo operator

A QUASILINEAR SINGULAR ELLIPTIC SYSTEM WITHOUT COOPERATIVE STRUCTURE

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Acta Mathematica Scientia 2014年第3期34卷 905-916页

作者： dumitru MOTREANU Abdelkrim MOUSSAOUI Dpartement de Math'ematiques Universit'e de Perpignan66860 PerpignanFrance biology Department A. Mira Bejaia UniversityTarga Ouzemour 06000 BejaiaAlgeria

In this article, we investigate the existence of positive solutions of a singular quasilinear elliptic system for which the cooperative structure is not required. The approach is based on the Schauder fixed point theo... 详细信息

关键词： Singular system p-Laplacian, Schauder's fixed point theorem bounded solution Moser iteration

Size-dependent thermal stresses in the core–shell nanoparticles

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Chinese Physics b 2013年第12期22卷 483-490页

作者： Astefanoaei I dumitru I Stancu Al Faculty of Physics "Alexandru Ioan Cuza" University of Iasi

The thermal stress in a magnetic core–shell nanoparticle during a thermal process is an important parameter to be known and controlled in the magnetization process of the core–shell system. In this paper we analyze the stress that appears in a core–shell nanoparticle subjected to a cooling process. The external surface temperature of the system, considered in equilibrium at room temperature, is instantly reduced to a target temperature. The thermal evolution of the system in time and the induced stress are studied using an analytical model based on a time-dependent heat conduction equation and a differential displacement equation in the formalism of elastic displacements. The source of internal stress is the difference in contraction between core and shell materials due to the temperature change. The thermal stress decreases in time and is minimized when the system reaches the thermal equilibrium. The radial and azimuthal stress components depend on system geometry, material properties, and initial and final temperatures. The magnitude of the stress changes the magnetic state of the core–shell system. For some materials, the values of the thermal stresses are larger than their specific elastic limits and the materials begin to deform plastically in the cooling process. The presence of the induced anisotropy due to the plastic deformation modifies the magnetic domain structure and the magnetic behavior of the system.

关键词： thermal stresses thermal equilibrium core–shell particle

A thermo-fluid analysis in magnetic hyperthermia

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Chinese Physics b 2014年第4期23卷 358-364页

作者： Iordana Astefanoae Ioan dumitru Alexandru Stancu Horia Chiriac Faculty of Physics Alexandru Ioan Cuza University National Institute of Research & Development for Technical Physics

In the last years, hyperthermia induced by the heating of magnetic nanoparticles （MNPs） in an alternating magnetic field received considerable attention in cancer therapy. The thermal effects could be automatically controlled by using MNPs with selective magnetic absorption properties. In this paper, we analyze the temperature field determined by the heating of MNPs, injected in a malignant tissue, subjected to an alternating magnetic field. The main parameters which have a strong influence on temperature field are analyzed. The temperature evolution within healthy and tumor tissues are analyzed by finite element method （FEM） simulations in a thermo-fluid model. The cooling effect produced by blood flow in blood vessels from the tumor is considered. A thermal analysis is conducted under different distributions of MNP injection sites. The interdependence between the optimum dose of the nanoparticles and various types of tumors is investigated in order to understand their thermal effect on hyperthermia therapy. The control of the temperature field in the tumor and healthy tissues is an important step in the healing treatment.

关键词： hyperthermia magnetic nanoparticles bioheat equations

Solution of Modified bergman Minimal blood Glucose-Insulin Model Using Caputo-Fabrizio Fractional Derivative

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Computer Modeling in Engineering & Sciences 2021年第9期128卷 1247-1263页

作者： Ravi Shanker Dubey dumitru b.leanu Manvendra Narayan Mishra Pranay Goswami Department of Mathematics AMITY School of Applied ScienceAMITY University RajasthanJaipur302022India Department of Mathematics and Computer Sciences Cankaya UniversityBalgat06530Turkey Institute of Space Sciences Magurele-BucharestR76900Romania School of Liberal Studies Dr.B.R.Ambedkar University DelhiDelhi110006India

Diabetes is a burning issue in the whole *** is the imbalance between body glucose and *** study of this imbalance is very much needed from a research point of *** this reason,bergman gave an important model named-bergman *** the present work,using Caputo-Fabrizio(CF)fractional derivative,we generalize bergman’s minimal blood glucose-insulin ***,we modify the old model by including one more component known as diet D(t),which is also essential for the blood glucose *** solve the modified modelwith the help of Sumudu transformand fixed-point iteration ***,using the fixed point theorem,we examine the existence and uniqueness of the results along with their numerical and graphical ***,the comparison between the values of parameters obtained by calculating different values of t with experimental data is also ***,we draw the graphs of G(t),X(t),I(t),andD(t)for different values ofτ.It is also clear from the obtained results and their graphical representation that the obtained results of modified bergman’s minimal model are better than bergman’s model.

关键词： bergman minimal model blood glucose Caputo-Fabrizio fractional derivative uniqueness and existence fractional calculus

Propagation of traveling wave solutions to the Vakhnenko-Parkes dynamical equation via modified mathematical methods

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Applied Mathematics(A Journal of Chinese Universities) 2022年第1期37卷 21-34页

作者： Aly R.Seadawy Asghar Ali Wafaa A.Albarakati dumitru b.leanu Mathematics department Faculty of scienceTaibah UniversityAl-Madinah Al-MunawarahSaudi Arabia Mathematics Department University of EducationLahoreMultan CampusPakistan Mathematics Department Faculty of scienceKing Abdulaziz UniversityJeddahSaudi Arabia Department of Mathematics Cankaya UniversityAnkaraTurkey

In this paper, we investigate some new traveling wave solutions to Vakhnenko-Parkes equation via three modified mathematical methods. The derived solutions have been obtained including periodic and solitons solutions in the form of trigonometric, hyperbolic, and rational function solutions. The graphical representations of some solutions by assigning particular values to the parameters under prescribed conditions in each solutions and comparing of solutions with those gained by other authors indicate that these employed techniques are more effective, efficient and applicable mathematical tools for solving nonlinear problems in applied science.

关键词： Vakhnenko-Parkes equation(VPE) generalized direct algebraic method extended simple equation method modified F-expansion method

Redefined Extended Cubic b-Spline Functions for Numerical Solution of Time-Fractional Telegraph Equation

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Computer Modeling in Engineering & Sciences 2021年第4期127卷 361-384页

作者： Muhammad Amin Muhammad Abbas dumitru b.leanu Muhammad Kashif Iqbal Muhammad bilal Riaz Department of Mathematics National College of Business Administration&EconomicsLahore54660Pakistan Department of Mathematics University of SargodhaSargodha40100Pakistan Department of Mathematics Faculty of Arts and SciencesCankaya UniversityAnkara06530Turkey Department of Medical Research China Medical University HospitalChina Medical UniversityTaichung40402Taiwan Institute of Space-Sciences Bucharest077125Romania Department of Mathematics Government College UniversityFaisalabad38000Pakistan Department of Mathematics University of Management and TechnologyLahore54700Pakistan

This work is concerned with the application of a redefined set of extended uniform cubic b-spline(RECbS)functions for the numerical treatment of time-fractional Telegraph *** presented technique engages finite difference formulation for discretizing the Caputo time-fractional derivatives and RECbS functions to interpolate the solution curve along the spatial *** analysis of the scheme is provided to ensure that the errors do not amplify during the execution of the numerical *** derivation of uniform convergence has also been *** computational experiments are executed to verify the theoretical *** results are compared with the existing schemes and it is concluded that the present scheme returns superior outcomes on the topic.

关键词： Extended cubic b-spline redefined extended cubic b-spline time fractional telegraph equation caputo fractional derivative finite difference method convergence

brain network correlates of epilepsy occurrence in multiple sclerosis and neuroinflammation

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Neural Regeneration Research 2023年第8期18卷 1717-1718页

作者： dumitru Ciolac Gabriel Gonzalez-Escamilla Yaroslav Winter Vinzenz Fleischer Matthias Grothe Sergiu Groppa Department of Neurology Focus Program Translational NeuroscienceRhine Main Neuroscience Network(rmn2)University Medical Center of the Johannes Gutenberg University MainzMainzGermany State University of Medicine and Pharmacy“Nicolae Testemitanu” ChisinauRepublic of Moldova Department of Neurology Institute of Emergency MedicineChisinauRepublic of Moldova Mainz Comprehensive Epilepsy and Sleep Medicine Center Department of NeurologyJohannes Gutenberg University MainzMainzGermany Department of Neurology Philipps-UniversityMarburgGermany Department of Neurology Heinrich Heine UniversityDüsseldorfGermany

Multiple sclerosis(MS),the most common inflammatory condition of the central nervous system in young adults,is characterized by immunemediated demyelination and neurodegeneration that translate into heterogeneous clin... 详细信息

关键词： epilepsy inflammation sclerosis

Adaptable Processing： Stage Development

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Journal of Literature and Art Studies 2013年第5期3卷 305-311页

作者： dumitru Todoroi Academy of Economic Studies of Moldova Chisinau Republic of Moldova

The development and evolution of Microsoft Office and Microsoft Windows shells are based in general on the special methodology of software creation and implementation such as macros, subroutine, custom commands, and specialized features. Microsoft Office for Mac has for long been criticized for its lack of support of Unicode and biDi languages, notably Arabic and Hebrew. This has not changed in the Office 2008 version. Microsoft Office 2010 （also called Office 2010 and Office 14） is the current version of the Microsoft Office productivity suite for Microsoft Windows, and the successor to Microsoft Office 2007. With Office 2010, users are in control, getting things done and producing amazing results however and wherever they work best. Ms Office 2010 is the last version of Microsoft Office with support for Windows XP, Windows Server 2003, Windows Vista, and Windows Server 2008 due to Office 2013 requiring Windows 7, Windows Server 2008 R2, Windows 8, Windows Server 2012, or Windows RT. Adaptive hardware （Ugurdag, 2006） reflects the capability of a system to maintain or improve its performance in the context of internal or external changes. Adaptation at hardware levels increases the system capabilities beyond what is possible with software-only solutions. Algorithms, techniques, and their implementation in hardware are developed over a diverse variety of applications. The methodology of the On-Off-Line adaptable processors （Todoroi ＆ Micusha, 2012） support development of adaptable software and hardware. Automatic creation of the Off-Line adaptable processors are proved. Development of the On-Line and On-Off-Line adaptable processors based on Off-Line processing creation method is proposed （Todoroi, Micu^a, ＆ Todoroi, 2009; Todoroi, 2008a, 2008b）

关键词： adaptability adaptive processor language adaptable processor adaptive hardware adaptable software