Oscillation properties for solutions of a kind of partial fractional differential equations with damping term
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Authors
Wei Nian Li
- Department of Mathematics, Binzhou University, Shandong 256603, P. R. China.
Weihong Sheng
- Department of Mathematics, Binzhou University, Shandong 256603, P. R. China.
Abstract
The aim of the present paper is to obtain sufficient conditions for oscillation of solutions of partial
fractional differential equations with the damping term of the form
\[D^{1+\alpha}_{+;t} u(x; t) + p(t)D^\alpha _{+;t} u(x; t) = a(t)\Delta u(x; t) + \Sigma^m_{i=1}
a_i(t)\Delta u(x; t - \tau_i)
- q(x; t)
\int^t_0
(t - \xi)^{-\alpha} u(x; \xi)d\xi; \quad (x; t) \in
\Omega\times \mathbb{R}_+ \equiv G.\]
Two examples are given to illustrate the main results.
Share and Cite
ISRP Style
Wei Nian Li, Weihong Sheng, Oscillation properties for solutions of a kind of partial fractional differential equations with damping term, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 4, 1600--1608
AMA Style
Li Wei Nian, Sheng Weihong, Oscillation properties for solutions of a kind of partial fractional differential equations with damping term. J. Nonlinear Sci. Appl. (2016); 9(4):1600--1608
Chicago/Turabian Style
Li, Wei Nian, Sheng, Weihong. "Oscillation properties for solutions of a kind of partial fractional differential equations with damping term." Journal of Nonlinear Sciences and Applications, 9, no. 4 (2016): 1600--1608
Keywords
- Oscillation
- fractional partial differential equation
- Riemann-Liouville derivative
- damping term.
MSC
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