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Interval Oscillation Criteria for Fractional Partial Differential Equations with Damping Term
Post Graduate and Research Department of Mathematics, Thiruvalluvar Government Arts College, Rasipuram, India
Post Graduate and Research Department of Mathematics, Thiruvalluvar Government Arts College, Rasipuram, India
- 1 Post Graduate and Research Department of Mathematics, Thiruvalluvar Government Arts College, Rasipuram, India
- 2 Post Graduate and Research Department of Mathematics, Thiruvalluvar Government Arts College, Rasipuram, India
Applied Mathematics·Volume 07 (2016)·Pages 272–291·Published 24 February 2016·DOI10.4236/am.2016.73025
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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 <i>f</i> 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.
KeywordsFractionalParabolicOscillationFractional Differential EquationDamping
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