OSCILLATORY BEHAVIOR OF A FRACTIONAL PARTIAL DIFFERENTIAL EQUATION

Jiangfeng Wang; Fanwei Meng

doi:10.11948/2018.1011

2018 Volume 8 Issue 3

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Jiangfeng Wang, Fanwei Meng. OSCILLATORY BEHAVIOR OF A FRACTIONAL PARTIAL DIFFERENTIAL EQUATION[J]. Journal of Applied Analysis & Computation, 2018, 8(3): 1011-1020. doi: 10.11948/2018.1011

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Jiangfeng Wang, Fanwei Meng. OSCILLATORY BEHAVIOR OF A FRACTIONAL PARTIAL DIFFERENTIAL EQUATION[J]. Journal of Applied Analysis & Computation, 2018, 8(3): 1011-1020. doi: 10.11948/2018.1011

OSCILLATORY BEHAVIOR OF A FRACTIONAL PARTIAL DIFFERENTIAL EQUATION

1 School of Mathematical Science, Qufu Normal University, No.57 Jingxuanxi Road, Qufu 273165, Shandong, China;
2 Department of Mathematics, Jining University, No.1 Xingtan Road, Qufu, 273155, Shandong, China

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Abstract

Abstract

In this paper, a fractional partial differential equation subject to the Robin boundary condition is considered. Based on the properties of Riemann-Liouville fractional derivative and a generalized Riccati technique, we obtained sufficient conditions for oscillation of the solutions of such equation. Examples are given to illustrate the main results.
- Oscillation /
- partial differential equation /
- fractional derivative
MSC: 35B05;35R11;34K37

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References

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