Oscillation of Nonlinear Fractional Partial Differential Equation with Damping
Abstract: In this paper, we will investigate oscillation of nonlinear fractional partial differential equation with damping and several delays subject to Neumann boundary condition by using the properties of the modified Riemann-Liouville derivative as well as Riccati transformation. The main results are illustrated by examples.
文章引用: 马玉剑 , 熊永福 , 刘安平 (2016) 一类带有阻尼项的非线性分数阶偏微分方程解的振动性。 理论数学， 6， 157-161. doi: 10.12677/PM.2016.63023
 Chen, D.X., Qu, P.X. and Lan, Y.H. (2013) Forced Oscillation of Certain Fractional Differential Equations. Advances in Difference Equations, 2013, 1-10.
Yang, J.C., Liu, A.P. and Liu, T. (2015) Forced Oscillation of Nonlinear Fractional Differential Equations with Damping Term. Advances in Difference Equations, 2015, 1-7.
 Li, W.N. (2015) Forced Oscillation Criteria for a Class of Fractional Partial Differential Equations with Damping Term. Mathematical Problems in Engineering, 2015, 1-7.
 Qin, H.Z. and Zheng, B. (2013) Oscillation of a Class of Fractional Differential Equations with Damping Term. The Scientific World Journal, 2013, 1-9.
Prakash, P., Harikrishnan, S., Nieto, J.J. and Kim, J.-H. (2014) Oscillation of a Time Fractional Partial Differential Equation. Electronic Journal of Qualitative Theory of Differential Equations, 15, 1-10.
Harikrishnan, S., Prakash, P. and Nieto, J.J. (2015) Forced Os-cillation of Solutions of a Nonlinearfractional Partial Differential Equation. Applied Mathematics and Computation, 254, 14-19.
Prakash, P., Harikrishnan, S. and Benchohra, M. (2015) Oscillation of Certain Nonlinear Fractional Partial Differential Equation with Damping Term. Applied Mathematics Letters, 43, 72-79.
Li, W.N. (2015) On the Forced Oscillation of Certain Fractional Partial Differential Equations. Applied Mathematics Letters, 2015, 5-9.