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Exact solution for fractional DRLC circuit in Caputo definition
Other Title(s)
الحل الدقيق لدوائر (السعة و المحاثة و المقاومة الكهربائية) المتخامدة في تعريف كابوتو الجزئي
Dissertant
al-Bashabshih, Sundus Ali Khalaf
Thesis advisor
Comitee Members
al-Uqayli, Amir Dakhil
al-Sarayirah, Shirin Abd al-Qadir
Hajjawi, Raid Shakir
University
Mutah University
Faculty
Faculty of Science
Department
Department of physics
University Country
Jordan
Degree
Master
Degree Date
2016
English Abstract
In this work, and through the use of the definition of the Laplace transform we have found a solution for second order differential equation, representing the circuit of resistance, inductance, and capacitance. The aim of this study is to find the exact solution to the damped of resistance and inductance and capacitance circuit (DRLC), by using fractional Laplace transform in the Caputo definition.
Using the boundary condition to find the general solution, in addition we explain the three cases of damping (critical damping, over damping, and under damping), then we plot these solutions through programmatic of the Mathematica 6 edition , then we make the comparison between the classical solution and fractional solution .
Main Subjects
No. of Pages
49
Table of Contents
Table of contents.
Abstract.
Abstract in Arabic.
Chapter One : Introduction.
Chapter Two : Fractional Laplace transform.
Chapter Three : Laplace transform for damping RLC circuit.
Chapter Four : Fractional Laplace transform for damping RLC circuit in caputo definition.
References.
American Psychological Association (APA)
al-Bashabshih, Sundus Ali Khalaf. (2016). Exact solution for fractional DRLC circuit in Caputo definition. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-731641
Modern Language Association (MLA)
al-Bashabshih, Sundus Ali Khalaf. Exact solution for fractional DRLC circuit in Caputo definition. (Master's theses Theses and Dissertations Master). Mutah University. (2016).
https://search.emarefa.net/detail/BIM-731641
American Medical Association (AMA)
al-Bashabshih, Sundus Ali Khalaf. (2016). Exact solution for fractional DRLC circuit in Caputo definition. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-731641
Language
English
Data Type
Arab Theses
Record ID
BIM-731641