Absence of Global Solutions for a Fractional in Time and Space Shallow-Water System

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 <inline-formula> <math display="inline"> <semantics> <mi>&#968;</mi> </semantics> </math> </inline-formula>-Caputo fractional derivatives...

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Bibliographic Details
Main Authors: Mohamed Jleli, Mokhtar Kirane, Bessem Samet
Format: Article
Language:English
Published: MDPI AG 2019-11-01
Series:Mathematics
Subjects:
global solutions
fractional in time and space shallow-water system
<i>ψ</i>-caputo fractional derivative
Online Access:https://www.mdpi.com/2227-7390/7/11/1127
Description
Summary:An initial boundary value problem for a fractional in time and space shallow-water system involving <inline-formula> <math display="inline"> <semantics> <mi>&#968;</mi> </semantics> </math> </inline-formula>-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.
ISSN:2227-7390

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