The Caputo definition of fractional derivatives introduces solution to the difficulties appears in the numerical treatment of differential equations due its consistency in differentiating constant functions. In the same time the memory and hereditary behaviors of the time fractional order derivatives (TFODE) still common in all definitions of fractional derivatives. The use of properties of companion matrices appears in reformulating multilevel schemes as generalized two level schemes is employed with the Gerschgorin disc theorems to prove stability condition. Caputo fractional derivatives with finite difference representations is considered. Moreover the effect of using the inverse operator which transmit the memory and hereditary effects to other terms is examined. The theoretical results is applied to a numerical example. The calculated solution has a good agreement with the exact solution.
The Messengers and the Imam of the God-fearing, Muhammad is God, his family, and all of his companions. As for what comes after... Fainting is one of the involuntary symptoms and states that occur to a person when carrying out his life’s tasks suddenly due to his loss of sense and movement, so he loses consciousness for a period of time that is short or may be long, and the person is held accountable and responsible for every moment of his life. He is required to perform duties specified by Sharia law, such as prayer, fasting, and Hajj...and fainting prevents him from performing these actions. We must consider the opinions of jurists and know the legal implications resulting from it. It was said that a person has a capacity that enable
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The study evaluated the recovery performance of any home herbs group as first aid in some emergency cases. The study involved 10 items of herbs (chamomile, black pepper, cloves, cinnamon, and anise) which used in acute cases such as cold, colic, inflammation of the intestine and tonsillitis, and (hibiscus, catnip, dried lime, cress seed, and ginger) were used for chronic cases such as hypertension, cardiovascular disease, and arthritis. The results showed the herbs had healing power and efficiency in the primary remedy for the above-mentioned diseases. The side effects, the contradictions, and the overdoses of these substances were discussed. It was concluded that home herbs could be used for treatment in emergency cases until moder
... Show MoreAs many expensive and invasive procedures are used for the diagnosis or follow-up of clinical conditions, the measurement of cell-free DNA is a promising, noninvasive method, which considers using blood, follicular fluid, or seminal fluid. This method is used to determine chromosomal abnormalities, genetic disorders, and indicators of some diseases such as polycystic ovary syndrome, pre-eclampsia, and some malignancies. Cell-free DNA, which are DNA fragments outside the nucleus, originates from an apoptotic process. However, to be used as a marker for the previously mentioned diseases is still under investigation. We discuss some aspects of using cell-free DNA measurements as an indicator or marker for pathological conditions.
The current research aims to identify the types and rates and the reasons for the crimes that are with the origin and sexual scattered deviation between the fabric of Iraqi society, which reticent about because of the culture of the community, where he offered a researcher investigator justice and tribal leaders and lawyers about proportion and the types and causes of crime is the origin of sexual deviance and finally a question asked a researcher in 1000 young lived their adolescence days of the former regime (1979-2003) from going to brothels researcher found that 920 people and 92% had gone to the house to practice adultery and that 70 of them, and by 7% had engaged in masturbation only and that 10 of them have not committed anything
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