Geodesic
Non-existence of global solutions for a differential equation involving Hilfer fractional derivative
Electronic Journal of Differential Equations, Tome 2013 (2013).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
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},
     publisher = {mathdoc},
     volume = {2013},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2013__2013__a34/}
}
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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/