On fractional ordinary differential equations
Other Title(s)
حول المعادلات التفاضلية العادية الكسرية
Dissertant
Zaydan, Muhammad Samir Abd al-Aziz
Thesis advisor
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2018
English Abstract
Fractional differential equations, which have derivatives of non-integer order, are very successful in describing natural and physical phenomenon like anomalous kinetics, transport, and chaos.
To obtain the exact solutions of these equations, Laplace transforms are successfully used.
In this thesis, we study Riemann-Liouville fractional integral and derivative and study some of its main properties.
The Laplace transform of Riemann-Liouville fractional calculus is also discussed.
We study the fractional integral and fractional differential equations and Sequential fractional differential equations.
In addition we study the methods of solving sequential differential equations by Laplace transform and some special functions as Mittag-Leffler function
Main Subjects
Topics
No. of Pages
59
Table of Contents
Table of contents.
Abstract.
Chapter One : Introduction and preliminaries.
Chapter Two : Fractional integral and fractional derivative.
Chapter Three : Fractional differential and integral equations.
Chapter Four : Discussion and conclusions.
References.
American Psychological Association (APA)
Zaydan, Muhammad Samir Abd al-Aziz. (2018). On fractional ordinary differential equations. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-901389
Modern Language Association (MLA)
Zaydan, Muhammad Samir Abd al-Aziz. On fractional ordinary differential equations. (Master's theses Theses and Dissertations Master). Islamic University. (2018).
https://search.emarefa.net/detail/BIM-901389
American Medical Association (AMA)
Zaydan, Muhammad Samir Abd al-Aziz. (2018). On fractional ordinary differential equations. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-901389
Language
English
Data Type
Arab Theses
Record ID
BIM-901389
