The aim of this article is to solve the Volterra-Fredholm integro-differential equations of fractional order numerically by using the shifted Jacobi polynomial collocation method. The Jacobi polynomial and collocation method properties are presented. This technique is used to convert the problem into the solution of linear algebraic equations. The fractional derivatives are considered in the Caputo sense. Numerical examples are given to show the accuracy and reliability of the proposed technique.
Research Summary
This research is an attempt to explain the Qur’anic verses of the vision in the practical divine vision on the Day of Resurrection, and the legal texts narrated from the Companions regarding the vision of the Prophet, may God’s prayers and peace be upon him, regarding the vision of the Prophet, may God bless him and grant him peace, regarding the vision of the Prophet, may God’s prayers and peace be upon him, regarding the vision of the Prophet, may God bless him and grant him peace He was greeted with regard to vision, and he explained the two sayings of Ibn Abbas and Aisha on the same subject, including an area of conflict between them.
The formation of Co(II), Ni(II), Cu(II), Zn(II), and Cd(II)-complexes (C1-C5) respectively was studied with new Schiff base ligand [benzyl(2-hydroxy-1-naphthalidene) hydrazine carbodithioate derived from reaction of 2-hydroxy-1-naphthaldehyde and benzyl hydrazine carbodithioate. The suggested structures of the ligand and its complexes have been determined by using C.H.N.S analyzer, thermal analysis, FT-IR, U.V-Visible, 1HNMR, 13CNMR , conductivity measurement , magnetic susceptibility and atomic absorption. According to these studies, the ligand coordinates as a tridentate with metal ions through nitrogen atom of azomethane , oxygen atom of hydroxyl, and sulfur atom of thione
... Show MoreAdyertising sponsorship is one of the most prominent public activities, hich drives many public relations relations practitioners in companies to rely heavily on it in order to achieve positive results that contribute to the marketing of the brands of these sponsoring companies. The problem of Our research can be identified by the main question: What is the role of advertising sponsorship in brand marketing "The research aims to identify the role of sponsorship in brand marketing, and its role in attracting the public's attention to the products of the sponsors. As well as clarifying the role of the care method in the popularity of the products of the Sponsorship companies.
Pulsar stars divided into two types depending on the periods of rotation, normal
emission Pulsar and Millisecond pulsars (MSPs). In this paper, the effect of the
strong magnetic field on the thermal emission in Millisecond pulsar stars is
concentrated. Also the luminosity spin down (Lsp) are calculated depends on the
periods (P), and Period derivative (
P
) for sample stars which were adopted. The
relation between internal and surface magnetic field is illustrated. The model that
which adopted is Hallo Cone Model (HCM)). The total magnetic dipole radiation
power (heating power Wh) of all super fluid neutrons in MSPs stars is calculated.
For sample stars of MSPs , the value of transition period (Ptr) was d
This research highlights one of the most important issues that have been controversial between Islamic schools, which is the duality of Intellect and Revelation and the nature of their relationship, in two core points:
The first point: Could there be a real conflict between Intellect and revelation? While the school of hadith view that this assumption is a rational assumption that does not real as long as the revelation is correct and the Intellect is clear, and that what is claimed are due to other Intellect s, we find that the Ash’ari school adopts the saying that the real conflict may occur, but rather confirms its occurrence.
The second point: For whom is the priority, for the Intellect or th
... Show MorePraise be to God, Lord of the worlds, and prayers and peace be upon our master Muhammad and upon his family and companions.
And after:
The research dealt with an important and critical era in the history of the Seljuk State of the Romans in Asia Minor, as that country, after the assumption of Sultan Ghiath al-Din Kehsaru II in the year 634 AH / 1236 CE, was subjected to the constant Mongol threat, so the research came marked with (the Seljuk State of Rome in Asia Minor and the Mongol invasion 634 - 708 AH / 1236 - 1308 AD) The research showed the succession of the Seljuk Sultans to the rulers whose rule after the death of Sultan Alaeddin Kikbad was weak and subject to the authority of the Mongols
In a recent study, a special type of plane overpartitions known as k-rowed plane overpartitions has been studied. The function denotes the number of plane overpartitions of n with a number of rows at most k. In this paper, we prove two identities modulo 8 and 16 for the plane overpartitions with at most two rows. We completely specify the modulo 8. Our technique is based on expanding each term of the infinite product of the generating function of the modulus 8 and 16 and in which the proofs of the key results are dominated by an intriguing relationship between the overpartitions and the sum of divisors, which reveals a considerable link among these functions modulo powers of 2.
The present article concerns one of the objects of media sociology under construction. The transformation of the rites in the use of the television contents in the era of digital technologies and media convergence. By an analytic contextual approach, based on the study of the uses, we formulate the following hypothesis: so many changes in the rites of uses are real, in particular at the young people, so, many pieces integer of the everyday life remain impervious to these changes, and it is true under the influence of a slowness of the social and cultural orders, rooted for a long time in the traditional social fabric. We shall then try to bring a sociological look to this societal, cultural, and communicational object that is the pas
Abstract:
This research aimed to shed light on the juristic rulings concerning those in debts. It adopted the inductive approach, the analytical approach and the comparative approach. It tackled the following issues: definition of Zakat, the channels of paying Zakat, definition of those in debts, types of those in debts, those in debts who are not entitled to take Zakat, their cases, spending money by those in debts if taken by those in debts and the poor, and when those in debts become rich before paying their debts, and the ruling on paying the debt of the dead indebted from the Zakat money.
The most important results of the research are as follows:
Muslim jurists
... Show MoreHollow core photonic bandgap fibers provide a new geometry for the realization and enhancement of many nonlinear optical effects. Such fibers offer novel guidance and dispersion properties that provide an advantage over conventional fibers for various applications. Dispersion, which expresses the variation with wavelength of the guided-mode group velocity, is one of the most important properties of optical fibers. Photonic crystal fibers (PCFs) offer much larger flexibility than conventional fibers with respect to tailoring of the dispersion curve. This is partly due to the large refractive-index contrast available in the silica/air microstructures, and partly due to the possibility of making complex refractive-index structure over the fibe
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