Khaled M. Furati, Mohammed D. Kassim, Nasser-eddine Tatar
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.
Submitted September 3, 2013. Published October 22, 2013.
Math Subject Classifications: 26D10, 42B20, 26A33, 35J05, 35J25.
Key Words: Cauchy problem; critical exponent;
fractional differential inequality;
Hilfer fractional derivative; test function method.
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Khaled M. Furati King Fahd University of Petroleum and Minerals Dhahran 31261, Saudi Arabia email: kmfurati@kfupm.edu.sa |
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Mohammed D. Kassim King Fahd University of Petroleum and Minerals Dhahran 31261, Saudi Arabia email: dahan@kfupm.edu.sa |
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Nasser-eddine Tatar King Fahd University of Petroleum and Minerals Dhahran 31261, Saudi Arabia email: tatarn@kfupm.edu.sa |
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