Nonexistence of global solutions for a class of sequential fractional differential inequalities |
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Authors: | Bessem Samet |
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Institution: | 1.Department of Mathematics,College of Science, King Saud University,Riyadh,Saudi Arabia |
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Abstract: | We provide sufficient conditions for the non-existence of global solutions for a certain class of sequential fractional differential inequalities involving Riemann-Liouville left-sided fractional derivatives with different orders. To the best of our knowledge, the study of non-existence of solutions for fractional differential problems with sequential fractional derivatives has not been investigated until now. Our approach is based on the test function method. |
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