Absence of global solutions for a fractional in time and space shallow-water system

An initial boundary value problem for a fractional in time and space shallow-water system involving ψ-Caputo fractional derivatives of different orders is considered. Using the test function method, sufficient criteria for the absence of global in time solutions of the system are obtained. © 2019 by the authors.

Авторы
Jleli M.1 , Kirane M. 2, 3 , Samet B. 1
Журнал
Издательство
MDPI AG
Номер выпуска
11
Язык
Английский
Статус
Опубликовано
Номер
1127
Том
7
Год
2019
Организации
  • 1 Department of Mathematics, College of Science King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia
  • 2 LaSIE, Pôle Sciences et Technologies, Université de La Rochelle, Avenue Michel Crépeau, La Rochelle, 17031, France
  • 3 Peoples' Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Street, Moscow, 117198, Russian Federation
Ключевые слова
Fractional in time and space shallow-water system; Global solutions; ψ-Caputo fractional derivative
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