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
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spelling doaj-34709d0497054a6b9306914553f0aad82020-11-25T00:39:43ZengMDPI AGMathematics2227-73902019-11-01711112710.3390/math7111127math7111127Absence of Global Solutions for a Fractional in Time and Space Shallow-Water SystemMohamed Jleli0Mokhtar Kirane1Bessem Samet2Department of Mathematics, College of Science King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaLaSIE, Pôle Sciences et Technologies, Université de La Rochelle, Avenue Michel Crépeau, 17031 La Rochelle, FranceDepartment of Mathematics, College of Science King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaAn 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.https://www.mdpi.com/2227-7390/7/11/1127global solutionsfractional in time and space shallow-water system<i>ψ</i>-caputo fractional derivative
collection DOAJ
language English
format Article
sources DOAJ
author Mohamed Jleli
Mokhtar Kirane
Bessem Samet
spellingShingle Mohamed Jleli
Mokhtar Kirane
Bessem Samet
Absence of Global Solutions for a Fractional in Time and Space Shallow-Water System
Mathematics
global solutions
fractional in time and space shallow-water system
<i>ψ</i>-caputo fractional derivative
author_facet Mohamed Jleli
Mokhtar Kirane
Bessem Samet
author_sort Mohamed Jleli
title Absence of Global Solutions for a Fractional in Time and Space Shallow-Water System
title_short Absence of Global Solutions for a Fractional in Time and Space Shallow-Water System
title_full Absence of Global Solutions for a Fractional in Time and Space Shallow-Water System
title_fullStr Absence of Global Solutions for a Fractional in Time and Space Shallow-Water System
title_full_unstemmed Absence of Global Solutions for a Fractional in Time and Space Shallow-Water System
title_sort absence of global solutions for a fractional in time and space shallow-water system
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2019-11-01
description 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.
topic global solutions
fractional in time and space shallow-water system
<i>ψ</i>-caputo fractional derivative
url https://www.mdpi.com/2227-7390/7/11/1127
work_keys_str_mv AT mohamedjleli absenceofglobalsolutionsforafractionalintimeandspaceshallowwatersystem
AT mokhtarkirane absenceofglobalsolutionsforafractionalintimeandspaceshallowwatersystem
AT bessemsamet absenceofglobalsolutionsforafractionalintimeandspaceshallowwatersystem
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