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.
Benthic invertebrates were used as bio- indicators to evaluate the pollution in -Diwania River . Five stations were selected for this purpose , extending from A1 -?? rtream to A1- Sadeer District downstream . The percentage of?ct uP?str?^ ? ?, oligochaeta to total benthic invertebrates were calculated . The population density of evaluation. 'I'he results Were ??? Tubificid worms without hair ehaetae was ©iso used IOBS(01igochaete Index of Sediment Bioindicati©n ), TUSP ? presented as indices Io (Tubificidae Species Percentage ) & degree of pollution Eo . IT was noticed that the 0 in??37.17 percentage of ©lig©chaeta to the total benthic invertebrates ranged between to 60.685 in station 3 , while the percentage ©f Tubificid w©rms t© ©
... Show MoreThe present study was conducted as atrial to treat secondary hydatidosis in white mice of species Mus musculus. (Balb/c strain), experimentally infected with secondary hydatid cysts of sheep origin. The immunization process was carried by using CF/PS antigen which consist hydatid cyst fluid (CF) antigen, and protoscolices (PS) antigen mixed together and by using two concentrations 7.5, 15 mg/ml. Then derivatives of Benzimidazole, Mebendazole (M) and drugs Albendazole (A) were used 10 and 40 μm/gm body weight respectively. The mixture of drugs was used one week after challenged dose. Criteria taken into consideration to define the activity of the immunization and chemotherapy in this study were reduction in the numeral of cysts, the coeffic
... Show MoreLanguage plays a major role in all aspects of life. Communication is regarded as the most important of these aspects, as language is used on a daily basis by humanity either in written or spoken forms. Language is also regarded as the main factor of exchanging peoples’ cultures and traditions and in handing down these attributes from generation to generation. Thus, language is a fundamental element in identifying peoples’ ideologies and traditions in the past and the present. Despite these facts, the feminist linguists have objections to some of the language structures, demonstrating that language is gender biased to men. That is, language promotes patriarchal values. This pushed towards developing extensive studies to substantiate s
... Show MoreThe nation-building process in fragile states is complex, often involving multifaceted challenges and opportunities. A pertinent example is Iraq post-2003, which serves as a model to study the intricacies of rebuilding a nation in the aftermath of conflict. During this period, we witnessed a significant international intervention aimed at establishing democratic governance, fostering economic development, and restoring social stability. Iraq’s nation-building journey showcases both successes and shortcomings. Establishing a representative government marked a step towards inclusivity and political participation, yet sectarian tensions persisted, hindering cohesive national identity. Economic initiatives aimed to harness Iraq's oil resou
... Show MoreUnderstanding energy metabolism and intracellular energy transmission requires knowledge of the function and structure of the mitochondria. Issues with mitochondrial morphology, structure, and function are the most prevalent symptoms. They can damage organs such as the heart, brain, and muscle due to a variety of factors, such as oxidative damage, incorrect metabolism of energy, or genetic conditions. The control of cell metabolism and physiology depends on functional connections between mitochondrial and biological surroundings. Therefore, it is essential to research mitochondria in situ or in vivo without isolating them from their surrounding biological environment. Finding and spotting abnormal alterations in mitochondria is the
... Show MoreThe aim of this paper is to introduce the concept of N and Nβ -closed sets in terms of neutrosophic topological spaces. Some of its properties are also discussed.
Abstract Aim: Autism is a neurodevelopmental disorder which affects communication and social interaction of children. It is a heterogeneous disease with various clinical presentations. Some genes are involved in its pathogenesis. It has been suggested that environmental exposure to lead can increase the risk of autism. The aim of our study was to compare blood lead levels among autistic and non-autistic children. Material and Method: This retrospective study included 107 children (60 with autism and 47 without autism) referred from the different Iraqi provinces, in the years 2015, 2016 and 2017, to the poisoning consultation center in Baghdad. Data collection including age, gender, residence, referral source, family history and blood lead l
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