آمار
| تعداد نشریات | 45 |
| تعداد شماره‌ها | 1,422 |
| تعداد مقالات | 17,545 |
| تعداد مشاهده مقاله | 56,832,607 |
| تعداد دریافت فایل اصل مقاله | 18,840,485 |
The cotangent fractional Cauchy problem: analysis and numerical method | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 25 مهر 1404 اصل مقاله (1.36 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2025.63227.2822 | ||
| نویسندگان | ||
| Mohamed Aymen El Qasraoui* 1؛ Lakhlifa Sadek2؛ El Mostafa Sadek1 | ||
| 1LabSIPE, National School of Applied Sciences of El Jadida, Chouaib Doukkali University, El Jadida, Morocco. | ||
| 2Department of Mathematics, Faculty of Sciences and Technology, BP 34. Ajdir 32003 Al-Hoceima, Abdelmalek Essaadi University, Tetouan, Morocco. | ||
| چکیده | ||
| This article will address the resolution of a new Cauchy problem: The cotangent fractional Cauchy problem (CF-CP). First, we will conduct a theoretical study on existence and uniqueness using the fractional Gronwall inequality. Next, we will formulate a decomposition formula for the CF-CP. Moreover, we present a numerical method for solving the CF-CP. Finally, we will present numerical results to verify the reliability of the proposed numerical method and validate the stability | ||
| کلیدواژه‌ها | ||
| cotangent fractional derivative؛ cotangent fractional Cauchy problem؛ existence and uniqueness theorem؛ numerical technique؛ convergence analysis | ||
|
آمار تعداد مشاهده مقاله: 27 تعداد دریافت فایل اصل مقاله: 28 |
||