Electron. J. Diff. Equ., Vol. 2013 (2013), No. 169, pp. 1-10.

Oscillation of solutions to nonlinear forced fractional differential equations

Qinghua Feng, Fanwei Meng

Abstract:
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.

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Qinghua Feng
School of Science, Shandong University of Technology
Zibo, Shandong, 255049, China
email: fqhua@sina.com
Fanwei Meng
School of Mathematical Sciences, Qufu Normal University
Qufu, 273165, China
email: fwmeng163@163.com

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