Oscillation criteria for nonlinear fractional differential equation with damping term-Reference-Cited by-同舟云学术

Oscillation criteria for nonlinear fractional differential equation with damping term

Published:2016-01-01 Issue:1 Volume:14 Page:119-128
ISSN:2391-5471
Container-title:Open Physics
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Author:

Bayram Mustafa¹,Adiguzel Hakan²,Secer Aydin²

Affiliation:

1. 1Uskudar University, Faculty of Health Sciences, Istanbul-Turkey

2. 2Yildiz Technical University, Mathematical Engineering, Istanbul-Turkey

Abstract

AbstractIn this paper, we study the oscillation of solutions to a non-linear fractional differential equation with damping term. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. By using a variable transformation, a generalized Riccati transformation, inequalities, and integration average techniquewe establish new oscillation criteria for the fractional differential equation. Several illustrative examples are also given.

Publisher

Walter de Gruyter GmbH

Subject

General Physics and Astronomy

Link

https://www.degruyter.com/document/doi/10.1515/phys-2016-0012/pdf

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