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A Multilevel Approach for Stability Conditions in Fractional Time Diffusion Problems
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
Wed Mar 08 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
List of Scorpions Recorded For the First Time in Iraq

 The present study is the first taxonomic study on scorpions in Iraq. The specimens were collected from regions in the middle and south of Iraq, three families, seven genera and eight  species were recorded for the first time in Iraq and one new species of the world. 

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Publication Date
Mon Feb 04 2019
Journal Name
Journal Of The College Of Education For Women
Astronomi cal Color Image Compression Using Multilevel Block Truncation Coding –Modified Vector Quantization Technique

A common approach to the color image compression was started by transform
the red, green, and blue or (RGB) color model to a desire color model, then applying
compression techniques, and finally retransform the results into RGB model In this
paper, a new color image compression method based on multilevel block truncation
coding (MBTC) and vector quantization is presented. By exploiting human visual
system response for color, bit allocation process is implemented to distribute the bits
for encoding in more effective away.
To improve the performance efficiency of vector quantization (VQ),
modifications have been implemented. To combines the simple computational and
edge preservation properties of MBTC with high c

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Publication Date
Wed Dec 15 2021
Journal Name
Abstract And Applied Analysis
Dynamical Behaviors of a Fractional-Order Three Dimensional Prey-Predator Model

In this paper, the dynamical behavior of a three-dimensional fractional-order prey-predator model is investigated with Holling type III functional response and constant rate harvesting. It is assumed that the middle predator species consumes only the prey species, and the top predator species consumes only the middle predator species. We also prove the boundedness, the non-negativity, the uniqueness, and the existence of the solutions of the proposed model. Then, all possible equilibria are determined, and the dynamical behaviors of the proposed model around the equilibrium points are investigated. Finally, numerical simulations results are presented to confirm the theoretical results and to give a better understanding of the dynami

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Publication Date
Fri Jul 28 2017
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
Fractional Chemical Composition of Asphalt as a Function of Its Durability

In order to get better understanding of asphalt pavement performance, asphalt from five Iraqi refineries (Qayarah, Nassiriyah, Baiji, Samawah and Daurah) were analyzed into five chemical fractions including asphaltenes, polar compounds, first acidaffins, second acidaffins and saturated hydrocarbons where the last four fractions called maltenes. Polar compounds /saturated hydrocarbons ratio (PC/S) and the ratio of the reactive to the unreactive components of the maltenes fraction (durability rating) parameters were determined. The study showed that Baiji asphalt has the best durability over other asphalts, while Qayarah asphalt is considered to have the least durability grade. These results confirm the correlation of the chemical composit

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Publication Date
Tue Aug 18 2020
Journal Name
Journal Of Mechanics Of Continua And Mathematical Sciences
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Publication Date
Wed Nov 20 2024
Journal Name
Technical University Of Munich
Conditions for Applying Public Private Partnership PPP in Iraq Infrastructure Projects Successfully

Public private partnership PPP is a method to procure public projects in order to achieve additional value for money in terms of efficiency and quality of services. This thesis studies the concepts of PPP, advantages and disadvantages of PPP. In addition, current Iraq infrastructure projects situations and needs, as well as, some aspects relating to the Iraq’s construction market, legal and contract systems were discussed. A financial model was carried out and applied to a real-life case study project. Finally, a survey targeted researchers; public and private- sectors were applied.

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Publication Date
Wed Dec 29 2021
Journal Name
Journal Of Legal Sciences
Conditions and procedures for the establishment of political parties in Iraqi law

The establishment of political parties in Iraqi law is subject to several conditions, including the conditions related to the principles and objectives of the parties and the conditions related to membership in the parties, as well as the establishment of a number of procedures. These conditions and procedures are governed by the Political Parties Law No. (36) of the year 2015, And another represents a restriction on the freedom to establish political parties and graduated from the framework of the organization authorized by the ordinary legislator under the constitutional assignment under the text of Article (39) of the Constitution to restrict and confiscation of the freedom to establish political parties, and we have finished through

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Publication Date
Sun Jan 30 2022
Journal Name
Iraqi Journal Of Science
CART_based Approach for Discovering Emerging Patterns in Iraqi Biochemical Dataset

    This paper is intended to apply data mining techniques for real Iraqi biochemical dataset to discover hidden patterns within tests relationships. It is worth noting that preprocessing steps take remarkable efforts to handle this type of data, since it is pure data set with so many null values reaching a ratio of 94.8%, then it becomes 0% after achieving these steps. However, in order to apply Classification And Regression Tree (CART) algorithm, several tests were assumed as classes, because of the dataset was unlabeled. Which then enabled discovery of patterns of tests relationships, that consequently, extends its impact on patients’ health, since it will assist in determining test values by performing only relevant

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Publication Date
Fri Sep 02 2022
Journal Name
Journal Of Legal Sciences
The Conditions of Exercising Universal Jurisdiction : A Comparative Study

Exercising the universal jurisdiction requires having in place some national legislations. If the legal principle is generally agreed upon at the international level, this does not prevent nations from passing some internal or local legislations that may enable the national courts to enforce the universal jurisdiction.  Transcending the philosophical and theoretical frameworks of any principle will

      This paper, entitled “The Conditions of Exercising Universal Jurisdiction: A Comparative Study”, tackles the conditions and requirements of exercising universal jurisdiction in both subjective and objective aspects, in the Iraqi penal code and the international laws under comparison.

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Publication Date
Sat Jan 30 2021
Journal Name
Iraqi Journal Of Science
A Metaheuristic Approach to the C1S Problem

Given a binary matrix, finding the maximum set of columns such that the resulting submatrix has the Consecutive Ones Property (C1P) is called the Consecutive Ones Submatrix (C1S) problem. There are solution approaches for it, but there is also a room for improvement. Moreover, most of the studies of the problem use exact solution methods. We propose an evolutionary approach to solve the problem. We also suggest a related problem to C1S, which is the Consecutive Blocks Minimization (CBM). The algorithm is then performed on real-world and randomly generated matrices of the set covering type.  

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