تقرير
Non-existence for fractionally damped fractional differential problems
| العنوان: | Non-existence for fractionally damped fractional differential problems |
|---|---|
| المؤلفون: | Kassim, Mohammed, Furati, Khaled M., Tatar, Nasser-eddine |
| سنة النشر: | 2016 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Classical Analysis and ODEs, 26A33 |
| الوصف: | In this paper, we are concerned with a fractional differential inequality containing a lower order fractional derivative and a polynomial source term in the right hand side. A non-existence of non-trivial global solutions result is proved in an appropriate space by means of the test-function method. The range of blow up is found to depend only on the lower order derivative. This is in line with the well-known fact for an internally weakly damped wave equation that solutions will converge to solutions of the parabolic part. Comment: in Acta Mathematica Scientia, vol 37, No. 1, 2017 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1605.07432 |
| رقم الأكسشن: | edsarx.1605.07432 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |