This paper deals with the thirteenth order differential equations linear and nonlinear in boundary value problems by using the Modified Adomian Decomposition Method (MADM), the analytical results of the equations have been obtained in terms of convergent series with easily computable components. Two numerical examples results show that this method is a promising and powerful tool for solving this problems.

تعد المواطنة مبدأ ومرجعية دستورية وسياسية لا تلغي عملية التدافع والتنافس في الفضاء الاجتماعي ، نضبطها بضوابط الوطن ووحدته القائمة على احترام التنوع وليس على نفيه ، والساعية بوسائل قانونية وسلمية للافادة من هذا التنوع في تمتين قاعدة الوحدة الوطنية ، بحيث يشعر الجميع بان مستقبلهم مرهون بها ، وانها لاتشكل نفيا لمحو حياتهم ، وانما مجالا للتعبير عنها بوسائل منسجمة وناموس الاختلاف وافاق العصر ومكتسبات الح

    This article aims to explore the importance of estimating the a semiparametric regression function ,where we suggest a new estimator beside the other combined estimators and then we make a comparison among them by using simulation technique . Through the simulation results we find  that the suggest estimator is the best with the first and second models ,wherealse for the third model we find Burman and Chaudhuri (B&C) is best.

The research aims to monitor the methods of Counter psychological warfare in the Iraqi press during the operations to liberate Mosul from the control of the terrorist organization ISIS.The research used the survey method, and “Tareek Al Shaab” Newspaper as a research sample, chosen according to the systematic random sample.
The research reached the following results:
1- The Communicator’s relied on the contents of the counter-psychological warfare and its methods in the battle of “Qadimun Ya Naynawa” used in the newspaper. The methods used were labels assigning such as : inevitable victory, prodding and morale, consensus, breaking of opposition morale, stereotyping, demonization of the opponent

The research aimed to identify the causal relationship between forgiveness and psychological hardness for university students, by answering the following questions: Does forgiveness cause psychological hardiness? Does psychological hardiness cause forgiveness? Is the relationship between the two variables a reciprocal relationship? The research sample consisted of (300) male and female students from the universities of Baghdad and Al-Mustansiriya University. To extract the psychometric properties of the two scales: forgiveness and psychological hardiness, a sample of (50) male and female students employed to repeat the test, making the six connections between the two research variables. To determine the causal relationship, The Pearson c

This paper aims to study the fractional differential systems arising in warm plasma, which exhibits traveling wave-type solutions. Time-fractional Korteweg-De Vries (KdV) and time-fractional Kawahara equations are used to analyze cold collision-free plasma, which exhibits magnet-acoustic waves and shock wave formation respectively. The decomposition method is used to solve the proposed equations. Also, the convergence and uniqueness of the obtained solution are discussed. To illuminate the effectiveness of the presented method, the solutions of these equations are obtained and compared with the exact solution. Furthermore, solutions are obtained for different values of time-fractional order and represented graphically.

In this paper, a sufficient condition for stability of a system of nonlinear multi-fractional order differential equations on a finite time interval with an illustrative example, has been presented to demonstrate our result. Also, an idea to extend our result on such system on an infinite time interval is suggested.

In this paper, some necessary and sufficient conditions are obtained to ensure the oscillatory of all solutions of the first order impulsive neutral differential equations. Also, some results in the references have been improved and generalized. New lemmas are established to demonstrate the oscillation property. Special impulsive conditions associated with neutral differential equation are submitted. Some examples are given to illustrate the obtained results.

The aim of this research is to estimate the area unit function of productivity for the potato crop in Anbar province for the autumn season (2008 / 2009) Anbar province has been chosen as an applied model for the study due to its well known in cultivating potato crop , and the data were collected through a random sample about (10%) from the study society with a (150) farmers,  The results indicated that the double logarithmic formula was the best representative of the relationship between crop productivity and independent variables (quantity of potato tubers , quantity of herbicides stuffs, quantity of fertilizer , hours of mechanical labour

The present research aims at identifying the relationship between intuitive thinking and mental alertness. The researcher used two tools: the intuitive thinking scale built by the researcher and consists of (40) paragraphs fall under four alternatives, while the second tool is the mental alertness scale consists of (70) paragraphs that the researcher built, and was verified psychometric properties of the two scales of honesty After the collection of information and statistical processing, the researcher reached the following results: 1. The results showed that the students of the third stage / Faculty of Education enjoy intuitive thinking. 2. The results showed that the students of the third stage / Faculty of Education enjoy mental alertne