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.

To determine the potential of gingival crevicular fluid (GCF) volume, E‐cadherin and total antioxidant capacity (TAC) levels to predict the outcomes of nonsurgical periodontal therapy (NSPT) for periodontitis patients.

This study was aimed to evaluate the effect of spraying nano chitosan loaded with NPK fertilizer and nettle leaf and green tea extracts on the growth and productivity of potato for the spring and fall seasons of 2021.It was conducted at private farm in Wasit Governorate, Iraq, as a factorial experiment (5 × 5) within randomized complete block design using three replicates. The first factor included spraying with four concentrations of chitosan nanoparticles loaded with NPK fertilizer 0, 10. 15 and 20% in addition to chemical fertilization treatment, the second factor was spraying nettle leaf extract 25 and 35 gL-1 and green tea extract with 2 and 4 g.L-1, in addition to the control treatment, spraying with distilled water only. The

Two Prototypes of Transversely Excited at atmospheric pressure (TEA) Nitrogen laser systems (One Stage Blumlein Circuit and Two Stage Blumlein Circuit) were fabricated and operated. High voltage power supply with variable operating voltage (0-20 kv) and operating current (1-3A) was built and tested successfully. The gas flow rate of 15 L/ min and 10 L/ min for OSBC and TSBC was used. The performance of the fabricated systems was studied extensively reaching to the optimum operating conditions. The obtained laser output energy for the first system has linear relationship with the applied voltage. The maximum output energy was about (1.14 mJ) with (10.40) ns pulse duration and the half-wave divergence angle was about (0.1455 m rad). In the

Introduction: Diabetic foot infections are one of the most severe complications of diabetes. This study was aimed to determine the common bacterial isolates of diabetic foot infections and the in vitro antibiotic susceptibility then treatment.
Methods: A swab was taken from the foot ulcer, and the aerobic bacteria were isolated and identified by cultural, microscopic and biochemical test, then by api-20E system. After that their antibiotic susceptibility pattern was determined. Then local and systemic treatment was used to treat the diabetic foot patients.
Results: Bacterial isolates belonging to twelve species were obtained from diabetic foot patients. Gram (-) bacteria were the predominant pathogens in the diabetic foot infection

The research aims to shed light on the recent experience in the Iraqi business environment, which is the experience of the merger. To evaluate a recent experience in an important sector of the Iraqi business sectors, namely the industrial sector to enable decision-makers to review that experience to judge the extent of its success and address some of the lapses that experience that by measuring synergies can be judged on the success of the merger experience or not. The research community is the governmental industrial sector. The research sample included six cases of merger (14) companies before the merger. The Holt method was used to predict the net sales and total cost values ​​before the merger as if it were not merged. Th

Characteristic of money laundering phenomenon is a compound and complex nature like the style of regular crimes . These operations are planned and excuted with those who have high quality experiences to hide the evidences of their deeds so They ask the help of financials ,economicals and legists to plan for money laundering. Banks are important and suitable places for illegal circulation of money because of the different types of accounts , rapidity and overlap which emphasis of its main duty to dislocate illegal money which comes from illegal sources without adding legal characteristic to it . Here we should explain the important role of banks in striving the phenomenon –Bank should try to show and analyze inward proced

Housing finance is considered to be an important and basic element in housing market, so it’s very important to aid individuals and particular institutions to built or buy new housing units.Inadequate finance system for housing is capable of supporting families to fulfill their needs and helping them to buy and built houses represented a big gap between the need to housing units and available stock. The most important finance institutions in Iraq nowa days are the Real Estate Bank and Housing Fund.Althoughthe role played byeach ofthese institutions, but thattheir roleis stilllimited in thehousing financeat the level ofindividuals orinstitutions. the adoption of the real estate Bank and housing fund to the amount allocated by th

This research is a modest contribution to Put the finishing touches on therole of managerial leaders represented by static companies belonging to theministry of transport and communication/ [iraq] . the research has adopted thedescriptive. Analytical methodology and field study technique, using thequestionnaire as a tool for data collection [58] forms Nar, been distributed tothe research sample. The sample has been deliberately selected {generalmanager, as assistant general manager and heads of department}. Thequestionnaires and the main hypotheses of represented by the existence ofsignificant correlation and impact between successful managerial leadershipand crisis management using the software {SPSS}, were analyzed. Resultswere identic