Nonexistence of global solutions for fractional temporal schrödinger equations and systems

We, first, consider the nonlinear Schrödinger equation (Formula Presented)where 0 < α < 1, iα is the principal value of (Formula Presented) is the Caputo fractional derivative of order (Formula Presented) is a complex-valued function, and a: ℝN→ ℝN is a given vector function. We provide suffcient conditions for the nonexistence of global weak solution under suitable initial data. Next, we extend our study to the system of nonlinear coupled equations (Formula Presented) where (Formula Presented), and a; b: ℝN → ℝ N are two given vector functions. Our approach is based on the test function method. ©2017 Texas State University.

Авторы
Azman I.1 , Jleli M.1 , Kirane M. 2, 3, 4 , Samet B. 1
Редакторы
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Издательство
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Номер выпуска
-
Язык
Английский
Страницы
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Статус
Опубликовано
Подразделение
-
DOI
-
Номер
276
Том
2017
Год
2017
Организации
  • 1 Department of Mathematics, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia
  • 2 LaSIE, Faculté des Sciences, Pole Sciences et Technologies, Université de La Rochelle, Avenue M. Crepeau, La Rochelle Cedex, 17042, France
  • 3 NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdu-laziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
  • 4 RUDN University, 6 Miklukho-Maklay St, Moscow, 117198, Russian Federation
Ключевые слова
Fractional temporal Schrödinger equation; Global weak solution; Nonexistence
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/5190/