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Benmerrous, Abdelmjid, Chadli, Lalla, Moujahid, Abdelaziz, Elomari, M'hamed, Melliani, Said. (1403). Generalized Solutions for Conformable Schrödinger Equation with Singular Potentials. سامانه مدیریت نشریات علمی, 13(2), 373-383. doi: 10.22034/cmde.2024.56240.2350
Abdelmjid Benmerrous; Lalla Saadia Chadli; Abdelaziz Moujahid; M'hamed Elomari; Said Melliani. "Generalized Solutions for Conformable Schrödinger Equation with Singular Potentials". سامانه مدیریت نشریات علمی, 13, 2, 1403, 373-383. doi: 10.22034/cmde.2024.56240.2350
Benmerrous, Abdelmjid, Chadli, Lalla, Moujahid, Abdelaziz, Elomari, M'hamed, Melliani, Said. (1403). 'Generalized Solutions for Conformable Schrödinger Equation with Singular Potentials', سامانه مدیریت نشریات علمی, 13(2), pp. 373-383. doi: 10.22034/cmde.2024.56240.2350
Benmerrous, Abdelmjid, Chadli, Lalla, Moujahid, Abdelaziz, Elomari, M'hamed, Melliani, Said. Generalized Solutions for Conformable Schrödinger Equation with Singular Potentials. سامانه مدیریت نشریات علمی, 1403; 13(2): 373-383. doi: 10.22034/cmde.2024.56240.2350

Generalized Solutions for Conformable Schrödinger Equation with Singular Potentials

Computational Methods for Differential Equations
مقاله 2، دوره 13، شماره 2، خرداد 2025، صفحه 373-383    اصل مقاله (382.18 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
مراجع
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