On Fractional Differential Equations
| المؤلف الرئيسي: | Al Musalhi, Fatma Salim Khalifa (Author) |
|---|---|
| مؤلفين آخرين: | Al Salti, Nasser (Advisor) , Kerbal, Sebti (Advisor) |
| التاريخ الميلادي: |
2017
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| موقع: | مسقط |
| الصفحات: | 1 - 105 |
| رقم MD: | 948365 |
| نوع المحتوى: | رسائل جامعية |
| اللغة: | الإنجليزية |
| الدرجة العلمية: | رسالة دكتوراه |
| الجامعة: | جامعة السلطان قابوس |
| الكلية: | كلية العلوم |
| الدولة: | عمان |
| قواعد المعلومات: | Dissertations |
| مواضيع: | |
| رابط المحتوى: |
عدد مرات التحميل
44
| المستخلص: |
There is a growing interest in studying fractional differential equations due not only to their applications in science and engineering, but for their theoretical challenges, for example, existence, non-existence of solutions and parameter identification problems, as well. In this thesis, existence of mild, global solutions and blow-up solutions are studied. Solutions to initial and boundary value problems involving fractional derivative including both direct and inverse problems are also considered. First, the blow-up phenomena for some fractional non-linear equations or systems are investigated. The method of proof is based on the weak formulation approach and necessary conditions for blow-up solutions are obtained. Then, inverse problems for a linear fractional differential equation with a Bessel operator are considered. Solution to these problems are constructed based on the choice of an appropriate eigenfunctions expansion. Also, results on existence and uniqueness are established. Finally, existence and uniqueness results of a direct and inverse problems for a fractional differential equation with a hyper- Bessel operator are presented. |
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