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

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

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.

Bibliographic Details
Main Authors: Khaled M. Furati, Mohammed D. Kassim, Nasser-eddine Tatar
Format: Article
Language:English
Published: Texas State University 2013-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Cauchy problem
critical exponent
fractional differential inequality
Hilfer fractional derivative
test function method
Online Access:http://ejde.math.txstate.edu/Volumes/2013/235/abstr.html
Description
Summary: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.
ISSN:1072-6691

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