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A Multilevel Approach for Stability Conditions in Fractional Time Diffusion Problems
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Abstract<p>The Caputo definition of fractional derivatives introduces solution to the difficulties appears in the numerical treatment of differential equations due its consistency in differentiating constant functions. In the same time the memory and hereditary behaviors of the time fractional order derivatives (TFODE) still common in all definitions of fractional derivatives. The use of properties of companion matrices appears in reformulating multilevel schemes as generalized two level schemes is employed with the Gerschgorin disc theorems to prove stability condition. Caputo fractional derivatives with finite difference representations is considered. Moreover the effect of using the inverse operator which transmit the memory and hereditary effects to other terms is examined. The theoretical results is applied to a numerical example. The calculated solution has a good agreement with the exact solution.</p>
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Publication Date
Fri Mar 01 2024
Journal Name
International Immunopharmacology
Evaluation of interleukins (IL-1α, IL-1Ra, IL-12, IL-17A, IL-31, and IL-33) and chemokines (CXCL10 and CXCL16) in the serum of male patients with ankylosing spondylitis
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Publication Date
Sat Jul 12 2025
Journal Name
Journal Of Baghdad College Of Dentistry
Shear bond strength of stainless steel brackets bonded to porcelain surface treated with 1.23% acidulated phosphate fluoride gel compared to hydro fluoric acid with silane coupling agent (In vitro comparative study)
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Background: With the increasing demands for adult orthodontics, a growing need arises to bond attachments to porcelain surfaces. Optimal adhesion to porcelain surface should allow orthodontic treatment without bond failure but not jeopardize porcelain integrity after debonding.The present study was carried out to compare the shear bond strength of metal bracket bonded to porcelain surface prepared by two mechanical treatments and by using different etching systems (Hydrofluoric acid 9% and acidulated phosphate fluoride 1.23%). Materials and Methods: The samples were comprised of 60 models (28mm *15mm*28mm) of metal fused to porcelain (feldspathic porcelain). They were divided as the following: group I (control): the porcelain surface left u

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Publication Date
Sun Jan 01 2017
Journal Name
Journal Of Cosmetics, Dermatological Sciences And Applications
Topical 40% &amp;lt;i&amp;gt;Loranthus europaeus&amp;lt;/i&amp;gt; Ointment as an Alternative Medicine in the Treatment of Acute Cutaneous Leishmaniasis versus Topical 25% Podophyllin Solution
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Publication Date
Wed Sep 30 2020
Journal Name
Journal Of Accounting And Financial Studies ( Jafs )
The Impact of Earnings Quality using the Sustainability model (Persistence) and predictability in the Continuity of the Banks: بحث تطبيقي في عينة من المصارف التجارية المدرجة في سوق العراق للاوراق المالية
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The research aims to measure the extent of the impact of Earnings quality in the continuity of the company for a sample of private commercial banks listed on the Iraq Stock Exchange. The research sample included (15) of the listed commercial banks that continue to issue their financial statements for the period from (2009-2018).The research relied on three main models of measurement and on four steps. The first step is to measure the Persistence (Earnings Quality) by Depending the sustainability model. While the second step included measuring the Predictability of accounting profits by deriving the square root of the disparity of the estimation error from the first model Persistence (Earnings Quality), and the third step included

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Publication Date
Mon Dec 30 2019
Journal Name
College Of Islamic Sciences
The mother of the believers, the mother of Salamah and her narrators of jurisprudence In attaining the goal of the rulings evidence Ibn Hajar al-Asqalani (d. 852 AH)      (prayer book)
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The Muslim woman actively participated in narrating, preserving, controlling and maintaining the hadith, along with her brother, the man who later became an inexhaustible representative of the effort to preserve, control, and narrate the Sunnah. Undoubtedly, the mothers of the believers, may God be pleased with them, had a great advantage in communicating Islam and spreading the Sunnah of the Prophet Especially among women, all of them heard from him, may God’s prayers and peace be upon him, and lived with him in the details of his life on the disparity between them in memorizing and narrating and publishing them. It narrated (378) recently, and it is considered the second narrator after the mother of the believers Aisha, may God be pl

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Publication Date
Mon May 08 2017
Journal Name
Research Journal Of Pharmaceutical, Biological And Chemical Sciences
Structure, Diagnosis, and in the Vitro Antimicrobial evaluation of 2-amino pyridine-derived Ligand Schiff base and its complexes with Cu (II), Hg (II), Ni (II), Mn (II) and Co (II
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Publication Date
Mon Jan 02 2017
Journal Name
Journal Of Educational And Psychological Researches
The Mathematical construct and its relationship with effective mathematical operations in both sides of the brain among students of the Department of Mathematics at the Colleges of Education and Basic Education
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The current research aims to identify: 1. The level of mathematical construct among the Department of Mathematics students in the colleges of education and basic education. 2. The level of effective mathematical operations in both sides of the brain at the Department of Mathematics students in the colleges of education and basic education. 3. The strength and direction of the correlation between the mathematical construct and effective mathematical operations on both sides of the brain at the Department of Mathematics students in the colleges of Education and Basic Education. To investigate the research objectives, the researcher formulated zero-main hypothesis for each aim and from the same hypothesis, three sub-zero hypotheses are deri

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Publication Date
Mon Jun 01 2020
Journal Name
Journal Of The College Of Languages (jcl)
(comparative analysis of phraseological units in the lexical-semantic field "on the material of Arabic and Russian languages"): (сопоставительный анализ фразеологических единиц лексико-семантического поля " на материале арабского и русского языков")
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Establishing the systemic character of vocabulary, its relationship with other language systems, their interdependence creates the possibility of a comprehensive scientific study and description of the lexical system of each language, as well as contrastive comparative studies of several languages, including their phraseological composition.

It is known that not all words-components of phraseological units are equivalent in their role in the formation of the semantic content of phraseological units. In this regard, it is necessary to introduce the concept of a lexical dominant. To this we include words, which are kind of centers around which the entire semantic complex of phraseological units, the entire set of its words-componen

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Publication Date
Thu Aug 31 2023
Journal Name
Journal Of Molecular Modeling
Ab initio study of structural, mechanical and electronic properties of 3d transitional metal carbide in cubic rocksalt (rs), zincblende (zb), and cesium chloride (cc) structures by using LDA and GGA Approximation
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This study rigorously investigates three 3d transition metal carbide (TMC) structures via LDA and GGA approximations. It examines cohesive energy (Ecoh), Vickers hardness (Hv), mechanical stability, and electronic properties. Notably, most 3d TMCs exhibit higher cohesive energy than nitrides, and rs-TiC demonstrates a Vickers hardness of 25.66 GPa, outperforming its nitride counterpart. The study employs theoretical calculations to expedite research, revealing mechanical stability in CrC and MnC (GGA) and CrC (LDA in cc structure), while all 3d TMCs in rs and seven in zb structures show stability. Charge transfer and bonding analysis reveal enhanced covalency along the series, influenced by the interplay between p orbitals of carbon and d o

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Publication Date
Sun Dec 12 2010
Journal Name
Journal Of Planner And Development
Utilizing the resources of the local environment in the establishment of the constituent units of the urban fabric within the framework of preservation of the urban heritage (Hassan Fathi's model experiment)
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No country in the world has an ancient heritage of its own. It represents the product of the civilizations left behind by previous eras. It represents the development of urban life and its capital of the interest of its people in the field of construction and reconstruction. The urban heritage and its associated arts may seem to be a material heritage at first glance, but it is not free from the spiritual side. Therefore, the nations in different parts of the earth cherish it and care for it with all due diligence, because it mixes with its history, memories and emotions.
This research discusses the use of local environment materials in the production of urban fabric constituents. I

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