Geodesic
Non-existence of global solutions for a differential equation involving Hilfer fractional derivative
Electronic journal of differential equations, Tome 2013 (2013)
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.
Classification : 26D10, 42B20, 26A33, 35J05, 35J25
Keywords: Cauchy problem, critical exponent, fractional differential inequality, hilfer fractional derivative, test function method 
@article{EJDE_2013__2013__a34,
     author = {Furati,  Khaled M. and Kassim,  Mohammed D. and Tatar,  Nasser-Eddine},
     title = {Non-existence of global solutions for a differential equation involving {Hilfer} fractional derivative},
     journal = {Electronic journal of differential equations},
     year = {2013},
     volume = {2013},
     zbl = {1298.34013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a34/}
}
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%A Tatar,  Nasser-Eddine
%T Non-existence of global solutions for a differential equation involving Hilfer fractional derivative
%J Electronic journal of differential equations
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%G en
%F EJDE_2013__2013__a34
Furati,  Khaled M.; Kassim,  Mohammed D.; Tatar,  Nasser-Eddine. Non-existence of global solutions for a differential equation involving Hilfer fractional derivative. Electronic journal of differential equations, Tome 2013 (2013). http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a34/