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.
Due to its importance in physics and applied mathematics, the non-linear Sturm-Liouville problems
witnessed massive attention since 1960. A powerful Mathematical technique called the Newton-Kantorovich
method is applied in this work to one of the non-linear Sturm-Liouville problems. To the best of the authors’
knowledge, this technique of Newton-Kantorovich has never been applied before to solve the non-linear
Sturm-Liouville problems under consideration. Accordingly, the purpose of this work is to show that this
important specific kind of non-linear Sturm-Liouville differential equations problems can be solved by
applying the well-known Newton-Kantorovich method. Also, to show the efficiency of appl
Background: Type 1 diabetes mellitus (T1DM) is a common disease in childhood. A linear relation between glycemic control (HbA1c < 7) and onset or progression of complication was detected. Only few individuals achieve glycemic control.
Objective: To estimate the glycemic control among diabetic children attending tertiary center.
Methods: All diabetic children registered in the diabetic consultancy clinic in Children Welfare Teaching hospital (298) were included in the study. Case records were reviewed and information on demography, weight and height, age at diagnosis and HbA1c was requested.
Results: Out of the total, 23.8% diabetic children had glycemic control. Glycemic control was decreasing with age (p=0.001), significantl
This research discusses the right of control in accordance with the rules of Rotterdam, and the UAE Maritime Commercial Law No. (26) of 1981 AD, the right of the sender and the consignee to issue instructions to the carrier regarding the goods, and the topic has been divided into two sections, the first topic entitled What is the right of control for seaborne goods, and the second topic It deals with the rights and obligations of the party controlling the seaborne goods.
he study concluded with many results and recommendations, including: that the right of the sender to direct and dispose of the goods during the sea voyage is not linked to the right of ownership contained in the goods; Because of their independence, the ownership
... Show MoreThis growing interest of the international scientific specialized commissions is due to the role that the audit committee can play, as one of companies’ governance tools, to increase the accuracy and transparency of the financial information disclosed by the companies, through its oversight role on the process of preparing financial reports, its supervision on the internal audit function within the companies, and supporting its independency, as well as coordinating the efforts between the internal control unites and the external auditor represented by the (Board of Supreme Audit) to clear the observations and irregularities in order to reduce the fraud cases.
This research was built on an applied sample of audit committee works
... Show MoreIn recent decades, drug modification is no longer unusual in the pharmaceutical world as living things are evolving in response to environmental changes. A non-steroidal anti-inflammatory drug (NSAID) such as aspirin is a common over-the-counter drug that can be purchased without medical prescription. Aspirin can inhibit the synthesis of prostaglandin by blocking the cyclooxygenase (COX) which contributes to its properties such as anti-inflammatory, antipyretic, antiplatelet and etc. It is also being considered as a chemopreventive agent due to its antithrombotic actions through the COX’s inhibition. However, the prolonged use of aspirin can cause heartburn, ulceration, and gastro-toxicity in children and adults. This review article hi
... Show MoreAbstract The Synthesis in good yields of some new 1,8-Naphthyridine derivatives (1-9) and characterized on the basis of IR and 1H NMR spectra data. The compounds (1) and (6) were utilized as a starting material for the preparing of these compounds.
Exercising the universal jurisdiction requires having in place some national legislations. If the legal principle is generally agreed upon at the international level, this does not prevent nations from passing some internal or local legislations that may enable the national courts to enforce the universal jurisdiction. Transcending the philosophical and theoretical frameworks of any principle will
This paper, entitled “The Conditions of Exercising Universal Jurisdiction: A Comparative Study”, tackles the conditions and requirements of exercising universal jurisdiction in both subjective and objective aspects, in the Iraqi penal code and the international laws under comparison.
These search summaries in building a mathematical model to the issue of Integer linear Fractional programming and finding the best solution of Integer linear Fractional programming (I.L.F.P) that maximize the productivity of the company,s revenue by using the largest possible number of production units and maximizing denominator objective which represents,s proportion of profits to the costs, thus maximizing total profit of the company at the lowest cost through using Dinkelbach algorithm and the complementary method on the Light industries company data for 2013 and comparing results with Goal programming methods results.
It is clear that the final results of resolution and Dinkelbac
... Show MoreSince God created human and had him live on Earth, he was certain and focused on marriage and having lineage for the purpose of development of this Earth which he – God - provided for humans.
We notice that he – human - was interested in curing disease of the genital system, (whether male and female) and he used different methods for that and what is available in every era and periods, we saw him exceeded in using different medical Herbs in different area of Earth and used it efficiently for healing and getting the best results they even inherited from one generation to another, and they didn't even stop here,