Interval Oscillation Criteria for Fractional Partial Differential Equations with Damping Term

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DOI: 10.4236/am.2016.73025    2,421 Downloads   3,417 Views  Citations

ABSTRACT

In this article, we will establish sufficient conditions for the interval oscillation of fractional partial differential equations of the form

It is based on the information only on a sequence of subintervals of the time space  rather than whole half line. We consider f to be monotonous and non monotonous. By using a generalized Riccati technique, integral averaging method, Philos type kernals and new interval oscillation criteria are established. We also present some examples to illustrate our main results.

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Sadhasivam, V. and Kavitha, J. (2016) Interval Oscillation Criteria for Fractional Partial Differential Equations with Damping Term. Applied Mathematics, 7, 272-291. doi: 10.4236/am.2016.73025.

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