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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 | ||
آمار تعداد مشاهده مقاله: 86 تعداد دریافت فایل اصل مقاله: 88 |