Existence of mild solutions for fractional Schrodinger equations in extended Colombeau algebras

	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
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
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