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Existence and uniqueness criteria for the solution of impulsive-implicit FDE with non-local operator | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 19 تیر 1405 اصل مقاله (1.07 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.64111.2900 | ||
| نویسندگان | ||
| Munzarin A. Sajjan* 1؛ Amjad S. Shaikh2 | ||
| 11. Research Scholar, Department of Mathematics, Sir Parshurambhau College, Affiliated to Savitribai Phule Pune University, Pune, India. 2. Department of Mathematics, AKI's Poona College of Arts, Science and Commerce, Camp, Pune, India. | ||
| 2Department of Mathematics, AKI's Poona College of Arts, Science and Commerce, Camp, Pune, India. | ||
| چکیده | ||
| This article deals with the existence results and uniqueness criteria for impulsive-implicit FDE of order 0<beta<1, where authors obtained the results using Atangana-Baleanu derivative operator. The existence results and uniqueness criteria are obtained by using Krasnoselskii fixed point theorem and Banach Contractiona principle. Further authors have obtained Hyer-Ulam stability. To show applicability of obtained results, a few examples are provided in details. | ||
| کلیدواژهها | ||
| Atangana Baleanu derivative operator؛ Krasnoselskii fixed point theorem؛ Banach contraction principle؛ and Hyer-Ulam stability | ||
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آمار تعداد مشاهده مقاله: 24 تعداد دریافت فایل اصل مقاله: 28 |
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