تقرير
Existence and Uniqueness Results for a nonlinear fractional differential equations of order $\sigma\in(1,2)$
| العنوان: | Existence and Uniqueness Results for a nonlinear fractional differential equations of order $\sigma\in(1,2)$ |
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| المؤلفون: | Bilgici, S. S., Şan, M. |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, 34A08, 37C25, 34A12, 74G20, 26A33 |
| الوصف: | The main objective of this article is to discuss the local existence of the solution to an initial value problem involving a non-linear differential equation in the sense of Riemann-Liouville fractional derivative of order $\sigma\in(1,2),$ when the nonlinear term has a discontinuity at zero. Hereafter, by using some tools of Lebesgue spaces such as H\"older inequality, we obtain Nagumo-type, Krasnoselskii-Krein-type and Osgood-type uniqueness theorems for the problem. Comment: 13 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2007.10128 |
| رقم الأكسشن: | edsarx.2007.10128 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |