On the (G′ G)-expansion method for solving nonlinear partial differential equations with integer and fractional orders
Other Title(s)
استخدام طريقة مفكوك G′ G العامة في حل المعادلات الجزئية غير الخطية من رتب صحيحة و كسرية
Dissertant
Thesis advisor
Comitee Members
al-Kasasibah, Faysal Muhammad
al-Banawi, Kamal Ata Allah Salih
Hajjawi, Raid Shakir
University
Mutah University
Faculty
Faculty of Science
Department
Department of Mathematics and Statistics
University Country
Jordan
Degree
Master
Degree Date
2015
English Abstract
In this thesis, the (?′?)-expansion method proposed by Wang et al (2008) was adopted to find travelling wave solution for the nonlinear partial equations.
The(?′?)-expansion method was extended to solve nonlinear partial differential equation of fractional order, in the sense of modified Riemann-Liouville derivative.
Some nonlinear partial differential equations of integer and fractional orders were presented to illustrate the efficiency and simplicity of this method.
A comparison with the exact solutions obtained by other methods is presented, and it is shown that the solutions obtained by some of these methods are special cases of our solutions by this method.
It can be concluded that this method is very simple, reliable and proposes a variety of exact solutions to nonlinear partial differential equations of integer and fractional orders.
Main Subjects
No. of Pages
35
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : The (G′ / G)-expansion method.
Chapter Three : The applications of the G′ / G-expansion method for nonlinear partial differential equations.
Chapter Four : The (G′ / G)-expansion method for nonlinear fractional partial differential equations and its applications.
References.
American Psychological Association (APA)
Tarif, Shuruq Umar Tawfiq. (2015). On the (G′ G)-expansion method for solving nonlinear partial differential equations with integer and fractional orders. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-656092
Modern Language Association (MLA)
Tarif, Shuruq Umar Tawfiq. On the (G′ G)-expansion method for solving nonlinear partial differential equations with integer and fractional orders. (Master's theses Theses and Dissertations Master). Mutah University. (2015).
https://search.emarefa.net/detail/BIM-656092
American Medical Association (AMA)
Tarif, Shuruq Umar Tawfiq. (2015). On the (G′ G)-expansion method for solving nonlinear partial differential equations with integer and fractional orders. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-656092
Language
English
Data Type
Arab Theses
Record ID
BIM-656092
