Geodesic
Nonexistence of solutions to Cauchy problems for fractional time semi-linear pseudo-hyperbolic systems
Electronic journal of differential equations, Tome 2016 (2016)
We study Cauchy problems time fractional semi-linear pseudo-hyperbolic equations and systems. Using the method of nonlinear capacity, we show that there are no solutions for certain nonlinearities and initial data. Our work complements the work by Aliev and col. [1,6,7].
Classification : 80A23, 65N21, 26A33, 45J05, 34K37, 42A16
Keywords: semi-linear pseudo-hyperbolic equation, non-existence of solutions, non-linear capacity method 
@article{EJDE_2016__2016__a46,
     author = {Abdelmalek,  Salem and Bajneed,  Maha and Sioud,  Khaled},
     title = {Nonexistence of solutions to {Cauchy} problems for fractional time semi-linear pseudo-hyperbolic systems},
     journal = {Electronic journal of differential equations},
     year = {2016},
     volume = {2016},
     zbl = {1329.80008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a46/}
}
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AU  - Sioud,  Khaled
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%A Sioud,  Khaled
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%J Electronic journal of differential equations
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%F EJDE_2016__2016__a46
Abdelmalek,  Salem; Bajneed,  Maha; Sioud,  Khaled. Nonexistence of solutions to Cauchy problems for fractional time semi-linear pseudo-hyperbolic systems. Electronic journal of differential equations, Tome 2016 (2016). http://geodesic.mathdoc.fr/item/EJDE_2016__2016__a46/