Laplace Partial Differential Equation with Fractional Order
| المؤلف الرئيسي: | Diab, Malek Muhammad (Author) |
|---|---|
| مؤلفين آخرين: | Yousef, Abdelrahman (Advisor) |
| التاريخ الميلادي: |
2016
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| موقع: | عمان |
| الصفحات: | 1 - 74 |
| رقم MD: | 1132337 |
| نوع المحتوى: | رسائل جامعية |
| اللغة: | الإنجليزية |
| الدرجة العلمية: | رسالة ماجستير |
| الجامعة: | الجامعة الاردنية |
| الكلية: | كلية الدراسات العليا |
| الدولة: | الاردن |
| قواعد المعلومات: | Dissertations |
| مواضيع: | |
| رابط المحتوى: |
عدد مرات التحميل
20
| المستخلص: |
In this thesis, we study the so called conformable fractional derivative, which is a new definition of fractional derivative that was obtained in 2014 by R. Khalil, M. Al Horani, A. Yousef and M. Sababheh. This definition is considered as a natural extension of the ordinary derivative with integer order, and satisfies many interesting properties and rules that were not satisfied by classical fractional derivatives. We also study other definitions of fractional derivatives like Riemann-Liouville and Caputo fractional derivatives, and present some of the basic properties of them. In chapter four, we solve some Laplace-type fractional differential equations with respect to the conformable fractional derivative. In fact, the nice properties of the conformable fractional derivative allowed us to find exact solutions of such differential equations. |
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