In this paper the singular Emden-Fowler equation of fractional order is introduced and a computational method is proposed for its numerical solution. For the approximation of the solutions we have used Boubaker polynomials and defined the formulation for its fractional derivative operational matrix. This tool was not used yet, and here introduced for the first time. The operational matrix of the Caputo fractional derivative tool converts these problems to a system of algebraic equations whose solutions are simple and easy to compute. Numerical examples are examined to prove the validity and the effectiveness of the proposed method to find approximate and precise solutions.
翻译:在本文中,引入了单埃登-佛勒分序等式,并提出了数字解决方案的计算方法。关于我们使用布贝克多面体的解决方案的近似值,并定义了其分数衍生物操作矩阵的配方。该工具尚未使用,在此首次引入。卡普托分数衍生物工具的操作矩阵将这些问题转换成一个代数方程系统,其解决方案既简单又容易计算。对数字示例进行了研究,以证明拟议方法的有效性和有效性,从而找到近似和精确的解决方案。