Paper title: |
Oscillation Theorems for Fractional Order Neutral Differential Equations |

DOI: |
https://doi.org/10.4316/JACSM.201602007 |

Published in: |
Issue 2, (Vol. 10) / 2016Download |

Publishing date: |
2016-10-20 |

Pages: |
46-51 |

Author(s): |
GANESAN Vellaiyappaudaiyar, KUMAR Sathish M. |

Abstract. |
The purpose of this paper is to study the oscillation of the fractional order neutral differential equation ๐ซ_{๐}^{๐ถ}[๐(๐)[๐ซ_{๐}^{๐ถ}(๐(๐)+๐(๐)๐(๐(๐)))]^{๐ธ}]+๐(๐)๐^{๐ธ}๐ธ(๐(๐))=๐,
where ๐ซ_{๐}^{๐ถ}(โ
) is a modified Riemann-Liouville derivative. The obtained results are based on the new comparison theorems, which enable us to reduce the oscillatory problem of ๐๐ถ-order fractional differential equation to the oscillation of the first order equation. The results are easily verified. |

Keywords: |
Oscillation; Comparison Theorem; Fractional Differential Equation; Modified Riemann-Liouville Derivative |

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