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.

Authors
Jleli M.1 , Kirane M. 2, 3 , Samet B. 1
Journal
Mathematics
Publisher
MDPI AG
Number of issue
11
Language
English
Status
Published
Link
External link
DOI
10.3390/math7111127
Number
1127
Volume
7
Year
2019
Organizations
  • 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
Keywords
Fractional in time and space shallow-water system; Global solutions; ψ-Caputo fractional derivative
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/54936/
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