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.

This study aims to investigate the possible role of circulating microRNA-142-3p (miR-142-3p) in the
development of graves disease (GD) and its association with the antibody directed against thyroid
stimulating hormone receptor (TSHR-Ab) production in patients with GD. Forty patients with positive
TSHR-Ab enrolled in this study were divided ,based on treatment, into (22 untreated (newly diagnosed) and
18 treated patients) and based on family history (30 with positive family history and 10 with negative family
history). In addition to forty healthy subjects with sex and age matching as a control group. The expression
level of circulating miR-142-3p was determined by two steps reverse transcription polymerase c

            Diabetes mellitus caused by insulin resistance is prompted by obesity. Neuropeptide Nesfatin-1 was identified in several organs, including the central nervous system and pancreatic islet cells. Nesfatin-1 peptide appears to be involved in hypothalamic circuits that energy homeostasis and control food intake. Adiponectin is a plasma collagen-like protein produced by adipocytes that have been linked to the development of insulin resistance (IR), diabetes mellitus type 2 (DMT2), and cardiovascular disease (CVD). Resistin was first identified as an adipose tissue–specific hormone that was linked to obesity and diabetes.  The aim of this study was to estimate the relationship between human serum nesfatin-1, adiponect

The research aims to recognize the impact of the training program based on integrating future thinking skills and classroom interaction patterns for mathematics teachers and providing their students with creative solution skills. To achieve the goal of the research, the following hypothesis was formulated: There is no statistically significant difference at the level (0.05) between the mean scores of students of mathematics teachers whose teachers trained according to the proposed training program (the experimental group) and whose teachers were not trained according to the proposed training program (the control group) in Pre-post creative solution skills test. Research sample is consisted of (31) teachers and schools were distribut

This study aimed to review the aesthetic miracle in the story of Yusuf, peace be upon him, with the Al-Azeez’s wife, using the historical, descriptive and analytical approaches. The study sample was determined in the verses (30-34) of the Holy Quran. The study found that the beauty of Yusuf, peace be upon him, went beyond the four stages and steps of the aesthetic judgment that Feldman set, in which Yusuf’s beauty is nothing but a divine miracle that cannot be described, analyzed, and interpreted. Also despite the various concepts of beauty dealt with by ancient Greek philosophers such as the Pythagoreans, Socrates, Plato and Aristotle; and modern philosophers such as Descartes, Diderot, Kant, Hegel, and Schopenhauer are embodied in

Abstract:
Al-Hamraa palace considers one of the most important urban traces
that the Arab left behind in Andalus .Muhammed bin Al—Ahmer put its fist
stones then it was finished later by his thrown hirer .The poems of (ibn-
Zumrek)were graved on the palaces doors ,halls, and lion cages with all the
proud and dignity those poems contain.
This search identifies this palace first, then studies the contents of the
poems on Walls ,then the Urban features, and description of the palace sites
,buildings materials ,pillars ,decorations, and the geometrical
Vocabularies in the poems such as spaces , direction ,distance ,and
height.
Then the search describes the technical engineering of words
coordination, the

Belgium is one of the countries that headed towards federalism through a peaceful transition, and over a few decades the country has witnessed deep transformations in its institutions, from a unified and central state in the early nineteenth century to a federal union, regional operations began since 1970 up and constitutionally established its diversity Linguistic and regional, the so -called "state reforms" have been implemented, which led to the emergence of political repercussions. The country has suffered about two decades ago, which caused many national governments that are considered to be among the Luxor in the modern political history of Belgium, However, institutional reforms to achieve the stability of the political system began,

The name of God the Merciful
Praise be to Allah, Lord of the Worlds, and prayers and peace be upon the prophets and messengers Prophet Muhammad and his family
And his companions who followed his approach to the Day of Judgment. After that, Islam has paid great attention to the aspects of education
The promise of a way to degrade and correct behavior, and to reach the individual to the highest levels through his intellectual upbringing
Mentally, mentally, mentally and intellectually, education at all times and places is the best way to communicate to a human being
The degree of happiness in religion and the other, as it develops all aspects of his personality, and supports the love of goodness for himself
For people, edu

The Baha'is are a group that belongs to the Baha'iya, the Baha'iya according to the encyclopedia of Religion Sciences is a modern religious sect appeared in existence in the middle of the ninetieth century. The number of their believers is around six million people of different parts of the world. its main center lies in Haifa city in Palestine

The Baha'is are a group that belongs to the Baha'iya, the Baha'iya according to the encyclopedia of Religion Sciences is a modern religious sect appeared in existence in the middle of the ninetieth century. The number of their believers is around six million people of different parts of the world. its main center lies in Haifa city in Palestine.