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 Islamic Issue did not rise the “widespread arguments” in contemporary times, just as the issue of applying Islamic Law.  Just as the Islamic forces used this purpose, or employed it during their march to reach to power by adopting the sacred as motivation towered the power, or control the governance. However, the reality show that this goal remained within the boundaries of slogans in the sense of a teleological slogan, and did not go beyond the limits of advocacy or arrangement as the primary source of legislation with differences of teleological reasoning, in a manner that reflected an intellectual problem about the validity of the use of this concept or the ability to apply and enforce the law in today's world, to impose

الخلاصة

     يتضمن البحث تعيين عنصر الزئبق السام بتراكيزنزرة عالية الدقة (نانوغرام) باستخدام منظومة يخار الزئبق البارد لنماذج غذائية (لحوم حمراء ، لحوم بيضاء ) مختلفة ونماذج مائية (ماء النهر، مياه صناعية ، ماء الشرب) وربط المنظومة بتقنية الامتصاص الذري اللهبي.

     ان عنصر الزئبق من اشد العناصر سمية وان التراكيز المسموح بها عالميا لايتعدى جزء واحد

Different parameters of double pipe helical coil were investigation experimentally. Four coils were used; three with a curvature ratio (0.037, 0.031, and 0.028) and 11mm diameter of the inner tube while the fourth with 0.033 curvature ratio and 13 mm diameter of the inner tube. The hot water flow in the inner tube whereas the cold water flows in the annulus. The inlet temperatures of hot and cold water are 50 ⁰C and 18 ⁰C respectively. The inner mass flow rate ranges from 0.0167 to 0.0583 kg/s. The results show the Nusselt number increase with increase curvature ratio. The Nusselt number of the coil with 0.037 curvature ratio increases by approximately 12.3 % as compare with 0.028 curvature ratio. The results also r

By using the deacetylation method, chitin is converted into bioproduct chitosan. Deacetylation can be accomplished using chemical or biological mechanisms. Due to its biocompatibility, nontoxicity, biodegradability, natural origin, and resemblance to human macromolecules, it is useful in medicine. Chitosan may have antibacterial and antioxidant properties. Additionally, it could be used in biotechnology, agriculture, gene therapy, food technology, medication delivery, cancer therapy, and other fields. The objective of the current review was to list the most significant applications of Chitosan in the biomedical field.

School administration has an effective role in stimulating academic achievement, as it is the ideal regulation and activation of material and human power to achieve the goals of the educational process. This role has axes in the form of interests, aids, and specific procedures exercised by the school administration in improving the educational process, and assisting researchers in achieving the highest levels of academic achievement. This activation is achieved through stages of planning, organizing, coordinating, and evaluating.

To achieve the aims of this research, the researcher pursued the descriptive analytical approach, which is considered one of the most appropriate approaches to the nature of this type of research. The qu

The aim of the current research is to identify the self-control of kindergarten teachers as well as to identify the significance of the differences according to a variable (years of service, academic achievement, specialization). Its final paragraphs consist of (35) paragraphs, and its psychometric properties were verified and the tool was applied to a sample of (400) teachers chosen randomly from kindergarten teachers affiliated to the General Directorates of Education in Baghdad, Rusafa, and Karkh for the academic year 2019-2020

In light of the objectives of the current research, the following results were reached

1. The current research sample is from kindergarten teachers with self-contro
2. There are diffe

يهدف البحث الى تطبيق إدارة القيمة االجمالية في تحسين تصميم عملية أنتاج معجون االسنان في مصنع المامون التابع للشركة العامة للمنتوجات الغذائية. وقد تمثلت مشكلة البحث في أن الشركة المبحوثة ال تقوم بقياس فاعلية تصميم العمليات فهي تعاني من ضعف في تحليل فاعلية تصميم العمليات في إطار مت ازمن مع أسلوب تطبيق إدارة القيمة االجمالية ، فضالً عن عدم اعطاء االنتباه الكافي لموضوع كلف المنتجات واسعار البيع ضمن ما يسمى بقيم

    The personality characteristics of the Leader are considered one of the main elements to reach into business organizations entrepreneurship; and because of the development of the organizations of the continuous transformations as result of huge Competition in private High Education sector, there is a great need for Leaders characterized of certain personality capable of managing their organizations and can positively effect on them. Also these organizations' success to reach into entrepreneurship requires a main significant element that is (strategic flexibility) which is considered one of the important elements for success.

    Accordingly, this research is trying to fin

Galway Kinnell (1927-) is considered as one of the most important contemporary American poets who brought about a drastic change in the American poetry of the nineteen sixties. Kinnell's poetry is characterized by being simple in style and deep in content. Poetry for him is a means through which he perceives the inner levels of consciousness in an attempt to comprehend the depths of the American self. Therefore, he writes narrative poems in which the emphasis is not on the rhetorical effects, but on the inner transformations through which the poet goes.

"The Bear" (1968) is typical of Kinnell's introspective poetry. It takes the form of a journey in which the rituals of hunting are used allegorically to embody the state of the sp