The critical exponent for an ordinary fractional differential problem

Yamina Laskri; Nasser eddine Tatar

doi:10.1016/j.camwa.2009.06.031

The critical exponent for an ordinary fractional differential problem

Yamina Laskri
, Nasser eddine Tatar^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

We consider the Cauchy problem for an ordinary fractional differential inequality with a polynomial nonlinearity with variable coefficient. A nonexistence result is proved and the critical exponent separating existence from nonexistence is found. This is proved in the absence of any regularity assumptions.

Original language	English
Pages (from-to)	1266-1270
Number of pages	5
Journal	Computers and Mathematics with Applications
Volume	59
Issue number	3
DOIs	https://doi.org/10.1016/j.camwa.2009.06.031
State	Published - Feb 2010

Bibliographical note

Funding Information:
The first author would like to thank the “Laboratoire d’Analyse Numerique, d’Optimisation et de Statistiques”. The second author is very grateful to King Fahd University of Petroleum and Minerals for financial support.

Keywords

Cauchy problem
Critical exponent
Fractional differential inequality
Riemann-Liouville fractional derivative
Test function method

ASJC Scopus subject areas

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

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10.1016/j.camwa.2009.06.031

Cite this

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title = "The critical exponent for an ordinary fractional differential problem",

abstract = "We consider the Cauchy problem for an ordinary fractional differential inequality with a polynomial nonlinearity with variable coefficient. A nonexistence result is proved and the critical exponent separating existence from nonexistence is found. This is proved in the absence of any regularity assumptions.",

keywords = "Cauchy problem, Critical exponent, Fractional differential inequality, Riemann-Liouville fractional derivative, Test function method",

author = "Yamina Laskri and Tatar, \{Nasser eddine\}",

note = "Funding Information: The first author would like to thank the “Laboratoire d{\textquoteright}Analyse Numerique, d{\textquoteright}Optimisation et de Statistiques”. The second author is very grateful to King Fahd University of Petroleum and Minerals for financial support. ",

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AU - Laskri, Yamina

AU - Tatar, Nasser eddine

N1 - Funding Information: The first author would like to thank the “Laboratoire d’Analyse Numerique, d’Optimisation et de Statistiques”. The second author is very grateful to King Fahd University of Petroleum and Minerals for financial support.

PY - 2010/2

Y1 - 2010/2

N2 - We consider the Cauchy problem for an ordinary fractional differential inequality with a polynomial nonlinearity with variable coefficient. A nonexistence result is proved and the critical exponent separating existence from nonexistence is found. This is proved in the absence of any regularity assumptions.

AB - We consider the Cauchy problem for an ordinary fractional differential inequality with a polynomial nonlinearity with variable coefficient. A nonexistence result is proved and the critical exponent separating existence from nonexistence is found. This is proved in the absence of any regularity assumptions.

KW - Cauchy problem

KW - Critical exponent

KW - Fractional differential inequality

KW - Riemann-Liouville fractional derivative

KW - Test function method

UR - https://www.scopus.com/pages/publications/74149091225

U2 - 10.1016/j.camwa.2009.06.031

DO - 10.1016/j.camwa.2009.06.031

M3 - Article

AN - SCOPUS:74149091225

SN - 0898-1221

VL - 59

SP - 1266

EP - 1270

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 3

ER -

The critical exponent for an ordinary fractional differential problem

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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