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existence of mild solutions for fractional schrodinger equations in extended colombeau algebras
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نویسنده
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elomari m’hamed ,melliani said ,bourhim fatima ezzahra ,el mfadel ali
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منبع
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international journal of nonlinear analysis and applications - 2023 - دوره : 14 - شماره : 2 - صفحه:31 -44
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چکیده
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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.
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کلیدواژه
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extended colombeau algebra ,generalized mild solution ,generalized function ,schrodinger equation
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آدرس
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sultan moulay slimane university, laboratory of applied mathematics scientific calculus, morocco, sultan moulay slimane university, laboratory of applied mathematics scientific calculus, morocco, sultan moulay slimane university, laboratory of applied mathematics scientific calculus, morocco, sultan moulay slimane university, laboratory of applied mathematics scientific calculus, morocco
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پست الکترونیکی
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a.elmfadel@usms.ma
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Authors
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