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.

Braces in straight bridge systems improve the lateral-torsional buckling resistance of the girders by reducing the unbraced length, while in horizontally curved and skew bridges, the braces are primary structural elements for controlling deformations by engaging adjacent girders to act as a system to resist the potentially large forces and torques caused by the curved or skewed geometry of the bridge. The cross-frames are usually designed as torsional braces, which increase the overall strength and stiffness of the individual girders by creating a girder system that translates and rotates as a unit along the bracing lines. However, when they transmit the truck’s live load forces, they can produce fatigue cracks at their connection

Investing in renewable energies, including biomass, is an important topic in Iraq. Research indicates that there is great potential for renewable energy in Iraq, including biomass, but achieving this great potential requires clear strategies and significant investments. This research sought to determine the amount of biomass energy that can be produced by the residues of eight Iraqi crops: wheat, barley, oats, corn, rice (straw), rice (husk), cotton, and sugar beets. could produce. Calorific value and accessible residue amount were considered to determine the residue's potential for energy. Estimates for 2021 showed that 1,308,516 tons of agricultural residue would be available overall for the eight crops. The two crop

Currently regions in the world are much affected with dust storms, rising and suspended dust, as Iraq is suffering of this state as well within an eye-catching manner, whereas the storms leave negative traces on environment and public health and many of the other vital utilities. This research aims to diagnosis of the reasons that resulted in increment of dust storms in Iraq basing on some recorded data and to be analyzed in conformity with the prevalent theories and concepts at the atmospheric science and environmental physics. Generally the study, has illustrated that the climate changes and increase of temperatures averages because of green house effect, that followed by clear changes at thermal wind and jet stream, that caused to ins

Antacids are commonly used drugs which are considered inert and free of pharmacological effect by many patients and physicians. They are weak bases that neutralize the gastric acid and relief pain. These weak bases dissociate to neutralize gastric acid and form neutral salts. The ultimate goal of antacid therapy is to reduce the concentration and a total load of acid in gastric juice to a pH 4 - 5. This in vitro study was promised to study the acid neutralizing capacity (ANC) of six commonly available antacids tablets in the Iraqi market by using back titration method. The highest ANC values were for Rennie (17.131± 0.083 and 16.926± 0.052 mEq) in two different hydrochloric acid (HCl) concentrations 1N and 0.5 N, respectively. The static

This research was aimed to study the pollen morphology for the genus Pterocephalus(Vaill)  from Dipsacaceae family in Iraq, and to utilize these feathers in isolating the species as valuable taxonomic traits for enriching Iraqi flora. The study included characteristics of the type, shape, size, sculpturing and apertures, as well as determining the full dimensions using light microscopy as well as numerical analysis of this species and draw polygonal shapes and denderogram  convergence between species. The results of the study of pollen and polygonal forms showed significant differences in the characteristics at the level of each species, which helps to identification the genus species, as it was found that the pollen was a tricolp

This study presents an updated checklist of the dipteran-borne diseases in Iraq, together with their original name combinations and synonyms. According to this checklist, 152 species, 40 genera within 14 families. Furthermore, minor corrections were applied to some authors’ names and years of publication.