论文标题
分数秩序系统系统的系列解决方案Ambartsumian方程:在天文学中应用
Series Solution of System of Fractional Order Ambartsumian Equations: Application in Astronomy
论文作者
论文摘要
Ambartmian方程在天文学中产生,并以银河系方式用于表面亮度。在本文中,我们介绍了分数Ambartsumian方程的系统系统,并使用PICARD迭代方法获得这些方程的串联解决方案。该解决方案以功率系列的形式提供,该功率序列是为所有真实物品收敛的。我们证明了这个系列的融合。
The Ambartsumian equation is arising in astronomy and used in the theory of surface brightness in a milky way. In this paper, we introduce system of fractional order Ambartsumian equations and use the Picard iterative method to obtain the series solution of these equations. The solution is provided in the form of a power series which is convergent for all reals. We prove the convergence of this series.