Exact solution for damped simple harmonic motion using fractional Laplace transform
Other Title(s)
الحل الدقيق للحركة التوافقية البسيطة الكسرية باستخدام تحويل لابلاس الكسري
Dissertant
Thesis advisor
Comitee Members
al-Dumur, Hammud Abd al-Hamid
al-Sabayilah, Muayyad Abd al-Rahim
Jadan, Muhannad Abd al-Hafiz
University
Mutah University
Faculty
Faculty of Science
Department
Department of physics
University Country
Jordan
Degree
Master
Degree Date
2016
English Abstract
The main objective solved damped and undamped simple harmonic oscillator problem by using fractional Laplace transform.
Here we used this technique to solve damped and undamped simple harmonic oscillator problem for three cases [critical damping, over damping and under damping]. Using the fractional Laplace transform we solved damped and undamped simple harmonic oscillator problem for three cases [critical damping, over damping and under damping], by in terms of caputo scene. Finally, we compare the results between the classically problem and fractional problem.
Main Subjects
No. of Pages
53
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Fractional calculus.
Chapter Three : Damped simple harmonic oscillator.
Chapter Four : Fractional damped simple harmonic oscillator.
References.
American Psychological Association (APA)
Kanan, Ali Ahmad Muslih. (2016). Exact solution for damped simple harmonic motion using fractional Laplace transform. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-726436
Modern Language Association (MLA)
Kanan, Ali Ahmad Muslih. Exact solution for damped simple harmonic motion using fractional Laplace transform. (Master's theses Theses and Dissertations Master). Mutah University. (2016).
https://search.emarefa.net/detail/BIM-726436
American Medical Association (AMA)
Kanan, Ali Ahmad Muslih. (2016). Exact solution for damped simple harmonic motion using fractional Laplace transform. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-726436
Language
English
Data Type
Arab Theses
Record ID
BIM-726436
