Ibrahim Rabha W, Ahmad M Z, Mohammed M Jasim
Faculty of Computer Science and Information Technology, University of Malaya, 50603 Kuala Lumpur, Malaysia.
Institute of Engineering Mathematics, Universiti Malaysia Perlis, 02600 Arau, Perlis Malaysia.
Springerplus. 2016 Jun 22;5(1):824. doi: 10.1186/s40064-016-2386-z. eCollection 2016.
Fractional differential equations have been discussed in this study. We utilize the Riemann-Liouville fractional calculus to implement it within the generalization of the well known class of differential equations. The Rayleigh differential equation has been generalized of fractional second order. The existence of periodic and positive outcome is established in a new method. The solution is described in a fractional periodic Sobolev space. Positivity of outcomes is considered under certain requirements. We develop and extend some recent works. An example is constructed.
本研究中讨论了分数阶微分方程。我们利用黎曼-刘维尔分数阶微积分在著名的微分方程类的推广中实现它。瑞利微分方程已被推广到分数阶二阶。用一种新方法建立了周期解和正解的存在性。解在分数阶周期索伯列夫空间中进行描述。在某些条件下考虑解的正性。我们拓展并延伸了一些近期的工作。构造了一个例子。
