The necessary optimality conditions with Lagrange multipliers  are studied and derived for a new class that includes the system of Caputo–Katugampola fractional derivatives to the optimal control problems with considering the end time free. The formula for the integral by parts has been proven for the left Caputo–Katugampola fractional derivative that contributes to the finding and deriving the necessary optimality conditions. Also, three special cases are obtained, including the study of the necessary optimality conditions when both the final time  and the final state  are fixed. According to convexity assumptions prove that necessary optimality conditions are sufficient optimality conditions.

The research deals with the subject of «ways to face rumors in the site of social networking Facebook», a research based on a doctoral thesis, as the research dealt with rumors in the most dangerous type of new media, which sites of social communication with the global community as spreading rumors of all kinds and afflicts everyone who has eyes on him Of the audience of these sites, and aims to identify the rumors on Facebook because it is one of the most popular sites in the world and the strategy of combating the rumors published by Facebook users in their personal pages and groups that organize them, as well as identify methods and methods that can be During which the face of the rumors in the said site and eliminate them t

This paper is an attempt to clarify the impact of Postcolonialism, one of the most
challenging fields of study that has emerged in recent years, on representations of women in
once-colonised countries and in Western locations. It discusses the influence of cultural
differences on the status and identity of a woman who experience ‗multiculturalism‘. The
study is an analytical reading of a contemporary novel written by the Iraqi writer Betool Al-
Kudairi. The emphasis lies on the clash between two different cultures and traditions
represented by the British mother and the Iraqi father and its effect on the life and identity of
the protagonist. The main focus is on idea of ‗hybrid identity‘ and the absence of th

The aim of the research is to measure the relationship and effect of the application of total production maintenance TPM in the operational strategy, as it is considered one of the most important strategies for the process of restoring production losses because of inefficient equipment. Competitive edge in the global market by upgrading the operational strategies of OS in the application of TPM in those institutions that apply both H-OS-oriented and P-OS-oriented strategies where the strategy has been identified as a critical success factor. The aim of this study is to attempt to consider the application of comprehensive productive maintenance in industrial establishments

This research deals with the hadiths of intimidation. An analytical study of the serious effects of intimidation in society. Intimidation and intimidation of a Muslim is a serious matter, because of the anxiety, intimidation, and dispossession of others ’rights, but some consider it easy, and others intimidate jokingly or seriously, which may lead to such intimidation to have effects Serious.
For intimidation entails the death of the individual, the disappearance of his mind, or the loss of his money, etc., from here the need was urgent; to show the vision of the prophetic Sunnah in denouncing intimidation, so we had this humble research tagged with (hadiths prohibiting the intimidation of a Muslim in the books The six are an analyt

Education quality evaluation is one of the objectives of education quality. The evaluation includes assessing the education standards and academic program outcomes to develop intellectual, scientific and practical concepts for the educational structure. It considers the determination of the rates of the number of accepted students and graduates. The research focuses on "what are the levels of education quality according to the evaluation mechanisms in the design department" to enhance the quality system and the objectives of theoretical and applied education.
It is identifying the levels of education quality and evaluating it according to the numbers and rates of graduate students of the design department branches for morning and ev

The duty of care is the essence of the error of negligence under the English legal system, and without it, responsibility for negligence cannot be judged, regardless of the extent of the damage incurred. contained in English law. In view of the importance of proving the existence of the duty of care on the defendant so that it is possible to judge his responsibility for negligence, the need arises to find a general principle to which the defendant is subject in order to decide whether he owes the plaintiff with the duty of care and therefore responsible for the negligence, and this is what we will explain in the research topic the study.

The research tackles an important subject, namely, the light text and how it works well in the Arab television programs. The methodological framework of the research     presents the research problem stated in the following question: How can the text be used and what is its impact in the Arab TV programs? The importance of this research is that it deals with the subject of light text and its impact on Arab television programs.

This study is useful to the workers and scholars in the field of lighting as well as the goal of the research in (studying of the employment of light text in Arab television programs).

The limits of research were manifested in the study of the light text and how to make use of it

This research seeks to explore the impact of notifications on enhancing user engagement with websites, primarily through user subscriptions and their interaction with notifications on these websites. The significance of this study lies in its implications for crafting compelling headlines that capture users' attention, streamline their access to journalistic content, and align with the objectives and editorial policies of news websites. It sheds light on the factors influencing users' preferences for specific notifications and their engagement with content based on their individual interests, motivations, and the satisfaction derived from such interactions.
The researcher has reached several key findings, inc

                Inflation is one of the important issues that the economic authorities in all countries of the world care about, where the loss of money for its function is one of the most important and largest inflationary effects that this phenomenon leaves on the economy, and Iraq, like other countries, has had its share of the problem of inflation for a long time due to the circumstances that He went through it, whether it was the wars he fought or the economic blockade that was imposed on him in the nineties of the last century. Economically, the problem of inflation is addressed through the use of fiscal policy tools, including tax increases in order to abso