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Three-Dimensional Nonlinear Integral Operator with the Modelling of Majorant Function
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In this paper, the process for finding an approximate solution of nonlinear three-dimensional (3D) Volterra type integral operator equation (N3D-VIOE) in R3 is introduced. The modelling of the majorant function (MF) with the modified Newton method (MNM) is employed to convert N3D-VIOE to the linear 3D Volterra type integral operator equation (L3D-VIOE). The method of trapezoidal rule (TR) and collocation points are utilized to determine the approximate solution of L3D-VIOE by dealing with the linear form of the algebraic system. The existence of the approximate solution and its uniqueness are proved, and illustrative examples are provided to show the accuracy and efficiency of the model.

Mathematical Subject Classification (2010):  45P05, 45G10, 47H99

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Publication Date
Fri Dec 31 2021
Journal Name
Political Sciences Journal
The concept of identity in Western political thought
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Receipt date:10/8/2019 acceptance date:18/12/2019 Publication date:31/12/2021

Creative Commons License This work is licensed under a Creative Commons Attribution 4.0 International License.

This research is concerned with the concept of identity in general "Overall definition" and is not exposed to the classifications of identity or concepts that deal with their types and classifications, only the concept in terms of the initial picture as well as the views of thinkers on the proof of

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Publication Date
Sat Dec 01 2018
Journal Name
Political Sciences Journal
Concept of moderation in the Islamic political thought
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Abstract : The concept of moderation is one of the important concepts that have been discussed in political thought in general and in Islamic political thought in particular. It concerns the status of moderation and balance and the need of Islamic societies to apply them in contemporary times. The Islamic societies faced challenges facing Islamic advancement. And the right, which is the middle between the excessive and the excessive -and the exaggeration and cost-, and between negligence and default, moderation and integritybetween both two sides are: excessive and negligent". In addition, the concept of moderation and its intellectual roots have been sought in the Holy Quran and the noble prophetic, and the search for its charac

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Publication Date
Tue Sep 08 2020
Journal Name
Baghdad Science Journal
Convergence Analysis for the Homotopy Perturbation Method for a Linear System of Mixed Volterra-Fredholm Integral Equations
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           In this paper, the homotopy perturbation method (HPM) is presented for treating a linear system of second-kind mixed Volterra-Fredholm integral equations. The method is based on constructing the series whose summation is the solution of the considered system. Convergence of constructed series is discussed and its proof is given; also, the error estimation is obtained. Algorithm is suggested and applied on several examples and the results are computed by using MATLAB (R2015a). To show the accuracy of the results and the effectiveness of the method, the approximate solutions of some examples are compared with the exact solution by computing the absolute errors.

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Publication Date
Wed Jul 20 2022
Journal Name
Ibn Al-haitham Journal For Pure And Applied Sciences
The Classical Continuous Optimal Control for Quaternary Nonlinear Parabolic Boundary Value Problems with State Vector Constraints
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This paper aims to study the quaternary classical continuous optimal control problem consisting of the quaternary nonlinear parabolic boundary value problem, the cost function, and the equality and inequality constraints on the state and the control. Under appropriate hypotheses, it is demonstrated that the quaternary classical continuous optimal control ruling by the quaternary nonlinear parabolic boundary value problem has a quaternary classical continuous optimal control vector that satisfies the equality constraint and inequality state and control constraint. Moreover, mathematical formulation of the quaternary adjoint equations related to the quaternary state equations is discovered, and then the weak form of the quaternary adjoint

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Publication Date
Wed Feb 20 2019
Journal Name
Political Sciences Journal
The concept of justice in the ancient Western political heritage
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The concept of Justice in the Ancient western political thought The title of research is the concept of Justice in the ancient western political heritage. It includes the definition of the idea of Justice as well as its evolution and relation to the Law the study discussed two main period . the first one was regarding the concept of Justice in the Greek political thought ( sophists ,Socrates , plato , Aristotle ,Epicureans , and stoics ) . While the second ocused on the concept of justice in Roman political thought Via their great thinkers as polypus and Cicero .

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Publication Date
Sun Jan 01 2023
Journal Name
Aip Conference Proceedings
Using the artificial TABU algorithm to estimate the semi-parametric regression function with measurement errors
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Artificial Intelligence Algorithms have been used in recent years in many scientific fields. We suggest employing artificial TABU algorithm to find the best estimate of the semi-parametric regression function with measurement errors in the explanatory variables and the dependent variable, where measurement errors appear frequently in fields such as sport, chemistry, biological sciences, medicine, and epidemiological studies, rather than an exact measurement.

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Publication Date
Mon Feb 04 2019
Journal Name
Journal Of The College Of Education For Women
The role of prophetic Sunna in solution of social problems
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Allah created the human from clay and made the system of marriage between male
and female as a reason for life continuity and human staying. This system produced an
organization called (the society) which is defined as a group lived in limited time and place.
Islam put fundamental and conditions of the righteous society in the Holy Quran and
prophetic sunna. Islam also put the solutions for problems (if they got) , naturally, these
problems may happened because of the nature of the life.
The problem of the research is summarized by that the problems of the society
enlarged in our Islamic society more than time ago. In the same time , some solution are
imported from west and east and from scientist and ignorant wit

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Publication Date
Sat Apr 30 2022
Journal Name
Iraqi Journal Of Science
Optimal Control Problem To Robust Nonlinear Descriptor control Systems with Matching Condition
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Abstract

    In this paper, the solutions to class of robust non-linear semi-explicit descriptor control systems with matching condition via optimal control strategy are obtained. The optimal control strategy  has been introduced and  developed in the sense that, the optimal control  solution is robust solution to the given non-linear uncertain semi-explicit descriptor control system. The necessary mathematical proofs and remarks as well as  discussions are also proposed. The present approach is step-by-step illustrated by application example to show its effectiveness a and efficiency to compensate  the structure uncertainty in the given semi-explicit (descriptor) control

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Publication Date
Fri Dec 01 2023
Journal Name
Political Sciences Journal
¬The Role of the European Union in Conflicts Resolution in the Eastern Neighborhood: Selected Models
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The launch of the EU’s Eastern Partnership in 2009 intended to signal a new, elevated level of EU engagement with its Eastern neighborhood. Yet there remain several long-simmering and potentially destabilizing conflicts in the region, with which EU engagement thus far has been sporadic at best. The Union’s use of its Common Security and Defense Policy (CSDP) in the region and to help solve these disputes has been particularly ad hoc and inconsistent, wracked by inter-institutional incoherence and undermined by Member States’ inability to agree on a broad strategic vision for engagement with the area.

The three CSDP missions deployed to the region thus far have all suffered from this incoherence to various extents. In particu

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Publication Date
Sun Dec 29 2019
Journal Name
Iraqi Journal Of Science
On A Certain Class of Meromorphic Multivalent Functions Defined by Fractional Calculus Operator
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    In this work, we study a new class of meromorphicmultivalent functions, defined by fractional differ-integral operator.We obtain some geometricproperties, such ascoefficient inequality, growth and distortion bounds, convolution properties, integral representation, radii of starlikeness, convexity, extreme pointsproperties, weighted mean and arithmetic meanproperties.

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