Oscillation Criteria for Nonlinear Fractional Differential Equations
Several oscillation criteria are established for nonlinear fractional differential equations of the form at(rtD-αxt)′η′-Ft, ∫t∞v-t-αxvdv=0, where D-αx is the Liouville right-side fractional derivative of order α∈(0, 1) of x and η is a quotient of two odd positive integers. We also give some example...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/971357 |
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| Summary: | Several oscillation criteria are
established for nonlinear fractional differential equations of the form at(rtD-αxt)′η′-Ft, ∫t∞v-t-αxvdv=0, where D-αx is the Liouville right-side fractional
derivative of order α∈(0, 1) of x and η is a quotient
of two odd positive integers. We also give some examples to
illustrate the main results. To the best of our knowledge, the
results are initiation for the oscillatory behavior of the equations. |
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| ISSN: | 1110-757X 1687-0042 |