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Existence, uniqueness, and stability analysis of a fractional differential equation | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 02 آذر 1404 اصل مقاله (378.23 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.37402.5444 | ||
| نویسندگان | ||
| Safoura Tavousi؛ Hengameh Tamimi* ؛ Mohammad Bagher Ghaemi؛ Reza Saadati | ||
| School of Mathematics and Computer Sciences, Iran University of Science and Technology, Narmak, Tehran, Iran | ||
| تاریخ دریافت: 26 فروردین 1404، تاریخ بازنگری: 01 مرداد 1404، تاریخ پذیرش: 01 آذر 1404 | ||
| چکیده | ||
| This research is dedicated to establishing the existence and uniqueness of solutions for a Caputo-Fabrizino fractional differential system. Additionally, it explores the Hyers-Ulam-Rassias and Hyers-Ulam-Mittag-Leffler stability of these solutions. This study utilizes the alternative fixed point theorem as a fundamental tool in its analysis. In recent papers, authors used the Schauder fixed point theorem and the Laplace transform to prove the stability of Caputo-Fabrizio equations, but we use the alternative fixed point theorem to prove the stability of these equations. | ||
| کلیدواژه‌ها | ||
| Stability theory of functional-differential equations؛ Functional-differential equations؛ fractional derivatives؛ Fixed-point theorems؛ Mittag-Leffler functions؛ Control/observation systems | ||
| مراجع | ||
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