| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 758969 | Communications in Nonlinear Science and Numerical Simulation | 2012 | 8 Pages |
Abstract
In this paper, we investigate the nonlinear differential equation of fractional order.CD0+αu(t)=f(t,u(t),u′(t)),1<α⩽2,0 ► We study fractional differential equations with the Caputo derivative. ► The first order u′(t) is involved in the nonlinear term explicitly. ► In this paper, unlike [3], the singularity is not inherent any more. ► By means of Schauder’s fixed point theorem, a new theorem is established. ► By means of Krasnoselskii’s fixed point theorem, another theorem is obtained.
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Mechanical Engineering
Authors
Xiong Yang, Zhongli Wei, Wei Dong,