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Generalized Solutions for Conformable Schrödinger Equations with Singular Potentials | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 15 تیر 1403 اصل مقاله (462.4 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2024.56240.2350 | ||
| نویسندگان | ||
| Abdelmjid Benmerrous* 1؛ Lalla Saadia Chadli1؛ Abdelaziz Moujahid2؛ M'hamed Elomari1؛ Said Melliani1 | ||
| 1Laboratory of Applied Mathematics and Scientific Computing, Sultan Moulay Slimane University, PO Box 532, Beni Mellal, 23000, Morocco. | ||
| 2Department of Mathematics and Computer Science, Faculty of Sciences, PO Box 2121, Tetouan, Morocco. | ||
| چکیده | ||
| This paper employs Colombeau algebra as a mathematical framework to establish both the existence and uniqueness of solutions for the fractional Schrödinger equation when subjected to singular potentials. A noteworthy contribution lies in the introduction of the concept of a generalized conformable semigroup, marking the first instance of its application. This innovative approach plays a pivotal role in demonstrating the sought-after results within the context of the fractional Schrödinger equation. The utilization of Colombeau algebra, coupled with the introduction of the generalized conformable semigroup, represents a novel and effective strategy for addressing challenges posed by singular potentials in the study of this particular type of Schrödinger equation. | ||
| کلیدواژه‌ها | ||
| Conformable schrödinger equation؛ Conformable derivative؛ Generalized solution؛ Conformable semigroup؛ Singular potential | ||
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آمار تعداد مشاهده مقاله: 43 تعداد دریافت فایل اصل مقاله: 45 |
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