تعداد نشریات | 43 |
تعداد شمارهها | 1,262 |
تعداد مقالات | 15,535 |
تعداد مشاهده مقاله | 51,553,608 |
تعداد دریافت فایل اصل مقاله | 14,493,755 |
$L^p$-existence of mild solutions of fractional differential equations in Banach space | ||
Computational Methods for Differential Equations | ||
مقاله 9، دوره 7، شماره 1، فروردین 2019، صفحه 105-116 اصل مقاله (344.5 K) | ||
نوع مقاله: Research Paper | ||
نویسنده | ||
Adel Jawahdou* | ||
Carthage University, Department of Mathematics, Bizerte Preparatory Engineering Institute, Tunisia | ||
چکیده | ||
We study the existence of mild solutions for semilinear fractional differential equations with nonlocal initial conditions in $L^p([0,1],E)$, where $E$ is a separable Banach space. The main ingredients used in the proof of our results are measure of noncompactness, Darbo and Schauder fixed point theorems. Finally, an application is proved to illustrate the results of this work. | ||
کلیدواژهها | ||
Semilinear integro-differential fractional equations؛ Measure of noncompactness؛ Mild solutions؛ Schauder fixed point theorem؛ Darbo fixed point theorem | ||
آمار تعداد مشاهده مقاله: 365 تعداد دریافت فایل اصل مقاله: 403 |