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.
Chinese policy was characterized in general toward Japan caution and fear and try to
mobilize all energies and alliances possible in order to interact and deal with that neighbor
foe, has that policy been in all its aspects to the enticements of regional and local conflicts, as
well as international variables that were the hardest and most influential on them.
The importance of the choice of the People of China's economic diplomacy toward the
study of Japan during the period of the Cold War is that each of them was in transition, China
at that time was barely beyond the midst of a civil war (1945-1949) led to the split into two
states: China, led by the People Mao Tse-Tung and Beijing as its capital, the National Chi
Experimental activity coefficients at infinite dilution are particularly useful for calculating the parameters needed in an expression for the excess Gibbs energy. If reliable values of γ∞1 and γ∞2 are available, either from direct experiment or from a correlation, it is possible to predict the composition of the azeotrope and vapor-liquid equilibrium over the entire range of composition. These can be used to evaluate two adjustable constants in any desired expression for G E. In this study MOSCED model and SPACE model are two different methods were used to calculate γ∞1 and γ∞2
Background: Cutaneous leishmaniasis (CL) is a neglected disease in tropical countries, including Iraq. Several studies have sought to examine chemotherapies for leishmaniasis treatment but most of them are of toxic and/or undesirable side effect, therefore, the need for investigating new fewer toxic therapies is essential. Aim of study: In this study, the cytotoxic effect of Artemisinin (ART), a novel herbal compound, was screened against the two forms, promastigotes and amastigotes, of the Iraqi isolate of Leishmania tropica, the causative agent of Baghdad boil. Material and methods: Different concentrations (1000, 500, 250, 125, 62.5, 31.25, 15.6 and 7.8) µM of Artemisinin were screened to investigate the leishmanicidal activity of th
... Show MoreThis research aims to determine the Attitudes Towards Fashion accessories of Saudi youth, and the descriptive analytical method was used in this research. The research sample was 500 youth in Riyadh that age between 20 to less than 40. The most important results show that young people prefer shoes by 53.2%, that 45.2% of young people prefer acquiring modern designs in fashion accessories, and the research emphasized the importance of studying the impact of rapid economic, social and cultural developments on young people’s attitudes towards fashion and its accessories, directing the attention of Saudi fashion designers towards complements Fashion to offer designs that match their trends
The Fountain of poetry Canot be suddenly flow or flood from emptiness. but it is streams and motives drive it to move . Forward tat Calmness and latent in depth of poet ,and try to Chang it in to high wives , go in to details inside the seas of poetry ,to sail threw it on the ships of poetry in creative styel to reach to the point from imaginary meaning , so every poet has direction to competein poetry poetsin Lament of Imam Hussain, There versification of poetry didn’t come from emptiness , but there was clashes motive them threw Calling the personality of Imam Hussain to learn lesson in avery beautiful and greative styel ,to be the expression poem from many sides in the personality of Imam Hussain from that events and facts that happ
... Show MoreThis study aims to determine the effect of x-ray radiation resulting from solar flares in high-frequency radio wave communications through the ionosphere and to study the radio blackout events that occur over Iraq, located within (38,28) latitude, and (38,49) longitude. Using X-ray data during strong X flares and radio wave absorption data across the D ionosphere for 10 years from 2012 to 2021. The study concluded that there were 43 events of x-flare, most of which were during years of high solar activity. All of these flares produced X-rays that caused a radio blackout, R3 and only 13 events affected Iraq.