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Existence of mild solutions for fractional Schrodinger equations in extended Colombeau algebras | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 4، دوره 14، شماره 2، اردیبهشت 2023، صفحه 31-44 اصل مقاله (419.78 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.27296.3553 | ||
| نویسندگان | ||
| Elomari M'hamed* ؛ Said Melliani؛ Fatima Ezzahra Bourhim؛ Ali El Mfadel | ||
| Laboratory of Applied Mathematics Scientific Calculus, Sultan Moulay Slimane University, BP 523, 23000, Beni Mellal, Morocco | ||
| تاریخ دریافت: 05 خرداد 1401، تاریخ بازنگری: 10 مهر 1401، تاریخ پذیرش: 13 مهر 1401 | ||
| چکیده | ||
| The main crux of this research manuscript is to study the existence and uniqueness of generalized mild solutions for nonlinear Schrodinger equations with singular initial conditions in the extended algebras of generalized functions. The proofs are based on generalized semigroups theory and Gronwall's inequality. As an application, our theoretical results have been illustrated by providing a suitable example. | ||
| کلیدواژهها | ||
| Extended Colombeau algebra؛ generalized mild solution؛ generalized function؛ Schr\"odinger equation | ||
| مراجع | ||
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[1] J.F. Colombeau, Elementary Introduction to New Generalized Function, North Holland, Amsterdam, 1985.
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