Analytic Approach for Solving System of Fractional Differential Equations

Nabaa N. Hasan, Z. John
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引用次数: 2

Abstract

In this paper, Sumudu transformation (ST) of Caputo fractional derivative formulae are derived for linear fractional differential systems. This formula is applied with Mittage-Leffler function for certain homogenous and nonhomogenous fractional differential systems with nonzero initial conditions. Stability is discussed by means of the system's distinctive equation.
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解分数阶微分方程组的解析方法
本文导出了线性分数阶微分系统的Caputo分数阶导数公式的Sumudu变换。该公式与Mittage-Leffler函数一起应用于具有非零初始条件的齐次和非齐次分数阶微分系统。利用系统的独特方程讨论了系统的稳定性。
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