IUGSpace: The Institutional Repository of the Islamic University of Gaza http://iugspace.iugaza.edu.ps:8080 The digital repository system captures, stores, indexes, preserves, and distributes digital research material. 2019-12-12T04:37:07Z Bäcklund Transformations for Fifth-order Painlevé Equations http://hdl.handle.net/20.500.12358/27285 Bäcklund Transformations for Fifth-order Painlevé Equations Bäcklund Transformations for Fifth-order Painlevé Equations Sakka, Ayman H. In this article we study B¨acklund transformations of the fifth-order Painlev´e equations Fif-I, Fif-II, Fif-III and Fif-IV. We derive B¨acklund transformations between these equations and new fifth-order Painlev´e equations. The method of derivation is based on the idea of seeking transformations that preserve the Painlev´e property. Moreover we give first integrals for the new equations. 2005-10-01T00:00:00Z Lie symmetry analysis of some conformable fractional partial differential equations http://hdl.handle.net/20.500.12358/27284 Lie symmetry analysis of some conformable fractional partial differential equations تحليل لي لتحويلات التماثل لبعص المعادلات التغاضلية الجزئية الكسرية Tayyan, B. A.; Sakka, A. H In this article, Lie symmetry analysis is used to investigate invariance properties of some nonlinear fractional partial differential equations with conformable fractional time and space derivatives. The analysis is applied to Korteweg–de Vries, modified Korteweg–de Vries, Burgers, and modified Burgers equations with conformable fractional time and space derivatives. For each equation, all the vector fields and the Lie symmetries are obtained. Moreover, exact solutions are given to these equations in terms of solutions of ordinary differential equations. In particular, it is shown that the fractional Korteweg–de Vries can be reduced to the first Painlevé equation and to the fractional second Painlevé equation. In addition, a solution of the fractional modified Korteweg–de Vries is given in terms of solutions of the fractional second Painlevé equation. 2018-12-12T00:00:00Z SYMMETRIES AND EXACT SOLUTIONS OF CONFORMABLE FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS http://hdl.handle.net/20.500.12358/27283 SYMMETRIES AND EXACT SOLUTIONS OF CONFORMABLE FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS SYMMETRIES AND EXACT SOLUTIONS OF CONFORMABLE FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS Tayyan, B. A.; Sakka, A. H. In this paper Lie group analysis is used to investigate invariance properties of nonlinear fractional partial differential equations with conformable fractional time derivative. The analysis is applied to Korteweg-de Vries, modified Korteweg-de Vries, Burgers, and modified Burgers equations. For each equation, all of the vector fields and the Lie symmetries are obtained. Moreover, exact solutions are given to these equations. 2020-01-01T00:00:00Z Dissemination of Security and Peace in Islam http://hdl.handle.net/20.500.12358/27282 Dissemination of Security and Peace in Islam إشاعة الأمن والسلام في الإسلام Awadallah, Adel M. In this paper, the concept of security and peace in Islam was highlighted. Islam was keen on promoting and preserving them, as well as the reasons why people are away from them, and ways to address these causes, especially the intellectual reasons, because thoughts (ideologies) are the driving forces for the action. The enlightened thought lead to the righteous work, and deviant thought leads to harmful and preserve acts.. 2017-08-28T00:00:00Z