Non-existence of global solutions for a differential equation involving Hilfer fractional derivative

Khaled M. Furati; Mohammed D. Kassim; Nasser Eddine Tatar

Non-existence of global solutions for a differential equation involving Hilfer fractional derivative

Khaled M. Furati, Mohammed D. Kassim, Nasser Eddine Tatar

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

78 Scopus citations

Abstract

We consider a basic fractional differential inequality with a fractional derivative named after Hilfer and a polynomial source. A non-existence of global solutions result is proved in an appropriate space and the critical exponent is shown to be optimal.

Original language	English
Article number	235
Journal	Electronic Journal of Differential Equations
Volume	2013
State	Published - 22 Oct 2013

Keywords

Cauchy problem
Critical exponent
Fractional differential inequality
Hilfer fractional derivative
Test function method

ASJC Scopus subject areas

Analysis

Cite this

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title = "Non-existence of global solutions for a differential equation involving Hilfer fractional derivative",

abstract = "We consider a basic fractional differential inequality with a fractional derivative named after Hilfer and a polynomial source. A non-existence of global solutions result is proved in an appropriate space and the critical exponent is shown to be optimal.",

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

author = "Furati, \{Khaled M.\} and Kassim, \{Mohammed D.\} and Tatar, \{Nasser Eddine\}",

year = "2013",

month = oct,

day = "22",

language = "English",

volume = "2013",

journal = "Electronic Journal of Differential Equations",

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T1 - Non-existence of global solutions for a differential equation involving Hilfer fractional derivative

AU - Furati, Khaled M.

AU - Kassim, Mohammed D.

AU - Tatar, Nasser Eddine

PY - 2013/10/22

Y1 - 2013/10/22

N2 - We consider a basic fractional differential inequality with a fractional derivative named after Hilfer and a polynomial source. A non-existence of global solutions result is proved in an appropriate space and the critical exponent is shown to be optimal.

AB - We consider a basic fractional differential inequality with a fractional derivative named after Hilfer and a polynomial source. A non-existence of global solutions result is proved in an appropriate space and the critical exponent is shown to be optimal.

KW - Cauchy problem

KW - Critical exponent

KW - Fractional differential inequality

KW - Hilfer fractional derivative

KW - Test function method

UR - https://www.scopus.com/pages/publications/84886404843

M3 - Article

AN - SCOPUS:84886404843

SN - 1072-6691

VL - 2013

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 235

ER -

Non-existence of global solutions for a differential equation involving Hilfer fractional derivative

Abstract

Keywords

ASJC Scopus subject areas

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