Oscillatory Criteria For Two Fractional Differential Equations

Author:

Abstract: In this paper, by use of the properties of fractional derivative and certain inequality technique, some new oscillatory criteria are established for a certain functional fractional differential equation with damping. The fractional differential equation is defined in the sense of the modified Riemann-Liouville fractional derivative. Using a similar analytical method, we also research oscillation of a higher order fractional differential equation, and obtain some oscillatory criteria for it. These oscillatory criteria are new results so far in the literature. As for applications of the oscillatory criteria established, some examples are presented.

WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 13, 2014, Art. #78

PDF
XML
Cite
×
Citation Tools
WSEAS AMA
Qinghua Feng, "Oscillatory Criteria For Two Fractional Differential Equations," WSEAS Transactions on Mathematics, vol. 13, pp. 800-810, 2014, DOI:
Qinghua Feng. Oscillatory Criteria For Two Fractional Differential Equations. WSEAS Transactions on Mathematics. 2014;13:800-810.
Copy to Clipboard
Citation copied to Clipboard

Certification

---