论文标题
一个基于BOUBAKER多项式的新操作矩阵，用于解决分数Emden-Fowler问题
A new operational matrix based on Boubaker polynomials for solving fractional Emden-Fowler problem
论文作者
论文摘要
在本文中，引入了分数顺序的奇异效果方程，并为其数值解决方案提出了一种计算方法。对于溶液的近似，我们使用了boubaker多项式，并为其分数衍生物操作矩阵定义了公式。但是，该工具尚未使用，但是该领域尚未找到许多实际应用，在这里首次介绍。 Caputo分数衍生工具的操作矩阵将这些问题转换为代数方程系统的系统，其解决方案简单易于计算。检查了数值示例，以证明拟议方法找到近似和精确解决方案的有效性和有效性。
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, however, this area has not found many practical applications 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.
