scholarly journals A Comparative Study of Space and Time Fractional KdV Equation through Analytical Approach with Nonlinear Auxiliary Equation

2020 ◽  
Vol 8 (1) ◽  
pp. 1-16
Author(s):  
Hasibun Naher ◽  
Humayra Shafia ◽  
Md. Emran Ali ◽  
Gour Chandra Paul
2021 ◽  
Vol 12 (3) ◽  
pp. 111-128
Author(s):  
Aljohara Fahad Al Saud

Identifying language affiliation among children for family immigrants is crucial for one’s language identity. This study aimed to determine the role played by Arab families in the Kingdom of Saudi Arabia, Austria, and Britain to attain language affiliation among their children. It also aims to identify the challenges facing families living in these countries in achieving language affiliation among their children. The study population consisted of all the families that live in the Kingdom of Saudi Arabia, in addition to all the Arab families that live in Austria and Britain and the study sample included (120) parents. The researcher adopted the descriptive-analytical approach and used the questionnaire as the study tool. The study reached several results; first, the role played by families in the Kingdom of Saudi Arabia, Austria, and United Kingdom to attain language affiliation among their children got a high degree of response. Second, the challenges facing activating the family’s role in attaining language affiliation of their children in the Kingdom of Saudi Arabia and Austria have got a high degree of response, while in Britain, they obtained a very high degree of response. The study recommended involving all family members in accessing different and creative ways of practicing their native language and activating the role of social media in developing the language affiliation of children.


Author(s):  
Jian-Gen Liu ◽  
Xiao-Jun Yang ◽  
Yi-Ying Feng ◽  
Lu-Lu Geng

In this paper, we studied the generalized space and time fractional Korteweg–de Vries (KdV) equation in the sense of the Riemann–Liouville fractional derivative. Initially, the symmetry of this considered equation through the symmetry analysis method was obtained. Next, a one-parameter Lie group of point transformation was yielded. Then, this considered fractional model can be translated into an ordinary differential equation of fractional order via the Erdélyi–Kober fractional differential operator and the Erdélyi–Kober fractional integral operator. Finally, with the help of the nonlinear self-adjointness, conservation laws of the generalized space and time fractional KdV equation can be found. This approach can provide us with a new scheme for studying space and time differential equations of fractional derivative.


2019 ◽  
Vol 33 (18) ◽  
pp. 1950199 ◽  
Author(s):  
Mostafa M. A. Khater ◽  
Dianchen Lu ◽  
Raghda A. M. Attia

This paper studies (2+1)-dimensional Konopelchenko–Dubrovsky equation and (2+1)-dimensional KdV equation via a modified auxiliary equation technique. These two systems describe the connection between the nonlinear weaves with a weak scattering and long-range interactions between the tropical, mid-latitude troposphere, the interaction of equatorial and mid-latitude Rossby waves, respectively. We implement a novel technique to these systems to find analytical traveling wave solutions. The performance of this novel method shows its ability for applying on various nonlinear partial differential equations. All solutions obtained are checked by the Maple software system and verified for its high fidelity.


2018 ◽  
Vol 20 (12) ◽  
pp. 4608-4633 ◽  
Author(s):  
Piotr Konieczny ◽  
Maximilian Klein

In this study, we investigate how quantification of Wikipedia biographies can shed light on worldwide longitudinal gender inequality trends, a macro-level dimension of human development. We present the Wikidata Human Gender Indicator (WHGI), located within a set of indicators allowing comparative study of gender inequality through space and time, the Wikipedia Gender Indicators (WIGI), based on metadata available through the Wikidata database. Our research confirms that gender inequality is a phenomenon with a long history, but whose patterns can be analyzed and quantified on a larger scale than previously thought possible. Through the use of Inglehart–Welzel cultural clusters, we show that gender inequality can be analyzed with regard to world’s cultures. We also show a steadily improving trend in the coverage of women and other genders in reference works.


Author(s):  
Hessah Nasser alnujaim

This study contains a collection of Fiqh differences which is written in IbnQudama's book "AlMughni" in total three differences. The goals of this search are: First, gathering all Fiqh differences related to the study. Second, illustrating aspects of agreement and differences between similar issues. Third, describing the methodology applied by Ibn Qudama's book in explaining Fiqh differences through study issues. This study based on the application of the inductive comparative analytical approach. The results of the study are the following: • the significant in terms of the usefulness of Fiqh science to lead the Muslims to right judments to build a more stable and secure society. 2.Ibn Qudama distinguished with his sharp intelligent because all the differences in his book which were three were strong differences.


Author(s):  
Mohammed Shawqi Naser Ela'awar Mohammed Shawqi Naser Ela'awar

Penalties in Islamic criminal legislation This research discusses the symbiotic a comparative doctrinal study. It addresses the definition of penalty - atonements as a model provisions in the Islamic system, and the provisions of symbiotic punishments in the atonement role in social solidarity. It also sheds light on the opinions of jurists in symbiotic and their positive punishments, and whether these expiations are punishments or types of reformation. In addition, of each particular we address in this research the types of symbiotic atonement and the type. The main goal is to examine the position of the Yemeni Sharia and legislation on symbiosis. atonement punishments This research is based on the inductive and analytical approach by extrapolating the words of Islamic scholars in the rule of atonements and their provisions. The approach depends on the analysis and discussion of what each team went to, while indicating the amounts of symbiotic punishments in the atonements such as food and clothing. The conclusion of the research sums up the most important findings of this research as well as recommendations.


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