Oscillation theorems for fractional neutral differential equations

Yi-zhuo Wang; Zhen-lai Han; Ping Zhao; Shu-rong Sun

Research Article

Year 2015, Volume: 44 Issue: 6, 1477 - 1488, 01.12.2015

Yi-zhuo Wang Zhen-lai Han Ping Zhao Shu-rong Sun

Abstract

References

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Oscillation theorems for fractional neutral differential equations

Year 2015, Volume: 44 Issue: 6, 1477 - 1488, 01.12.2015

Yi-zhuo Wang Zhen-lai Han Ping Zhao Shu-rong Sun

Abstract

In this paper we study the oscillation of the fractional neutral differential equation $$D^\alpha_t[a(t)D^\alpha(x(t)+p(t)x(\tau(t)))]+q(t)x(\sigma(t))=0,$$ where $D^\alpha_t$ 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 2α-order fractional differential equation to the oscillation of the first order equation. The results are easily
verified.

Keywords

Oscillation, fractional differential equation, modified Riemann-Liouville derivative, comparison theorem

References

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There are 1 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Mathematics
Authors	Yi-zhuo Wang This is me Zhen-lai Han Ping Zhao This is me Shu-rong Sun This is me
Publication Date	December 1, 2015
Published in Issue	Year 2015 Volume: 44 Issue: 6

Cite

APA	Wang, Y.-z., Han, Z.-l., Zhao, P., Sun, S.-r. (2015). Oscillation theorems for fractional neutral differential equations. Hacettepe Journal of Mathematics and Statistics, 44(6), 1477-1488.
AMA	Wang Yz, Han Zl, Zhao P, Sun Sr. Oscillation theorems for fractional neutral differential equations. Hacettepe Journal of Mathematics and Statistics. December 2015;44(6):1477-1488.
Chicago	Wang, Yi-zhuo, Zhen-lai Han, Ping Zhao, and Shu-rong Sun. “Oscillation Theorems for Fractional Neutral Differential Equations”. Hacettepe Journal of Mathematics and Statistics 44, no. 6 (December 2015): 1477-88.
EndNote	Wang Y-z, Han Z-l, Zhao P, Sun S-r (December 1, 2015) Oscillation theorems for fractional neutral differential equations. Hacettepe Journal of Mathematics and Statistics 44 6 1477–1488.
IEEE	Y.-z. Wang, Z.-l. Han, P. Zhao, and S.-r. Sun, “Oscillation theorems for fractional neutral differential equations”, Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 6, pp. 1477–1488, 2015.
ISNAD	Wang, Yi-zhuo et al. “Oscillation Theorems for Fractional Neutral Differential Equations”. Hacettepe Journal of Mathematics and Statistics 44/6 (December 2015), 1477-1488.
JAMA	Wang Y-z, Han Z-l, Zhao P, Sun S-r. Oscillation theorems for fractional neutral differential equations. Hacettepe Journal of Mathematics and Statistics. 2015;44:1477–1488.
MLA	Wang, Yi-zhuo et al. “Oscillation Theorems for Fractional Neutral Differential Equations”. Hacettepe Journal of Mathematics and Statistics, vol. 44, no. 6, 2015, pp. 1477-88.
Vancouver	Wang Y-z, Han Z-l, Zhao P, Sun S-r. Oscillation theorems for fractional neutral differential equations. Hacettepe Journal of Mathematics and Statistics. 2015;44(6):1477-88.