Qinghua Feng, Fanwei Meng
In this article, we study the oscillation of solutions to a nonlinear forced fractional differential equation. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. Based on a transformation of variables and properties of the modified Riemann-liouville derivative, the fractional differential equation is transformed into a second-order ordinary differential equation. Then by a generalized Riccati transformation, inequalities, and an integration average technique, we establish oscillation criteria for the fractional differential equation.
Submitted April 1, 2013. Published July 26, 2013.
Math Subject Classifications: 34C10, 34K11.
Key Words: Oscillation; nonlinear fractional differential equation; forced; Riccati transformation.
An addendum was posted on November 17, 2016. It states that the Jumarie's chain rule used in equality (1.7) is incorect. See the last page of this article.
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| Qinghua Feng |
School of Science, Shandong University of Technology
Zibo, Shandong, 255049, China
| Fanwei Meng |
School of Mathematical Sciences, Qufu Normal University
Qufu, 273165, China
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