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A difference method for solving the nonlinear $q$-factional differential equations on time scale
arXiv - CS - Numerical Analysis Pub Date : 2020-11-23 , DOI: arxiv-2011.11179 Tie Zhang
arXiv - CS - Numerical Analysis Pub Date : 2020-11-23 , DOI: arxiv-2011.11179 Tie Zhang
The $q$-fractional differential equation usually describe the physics process
imposed on the time scale set $T_q$. In this paper, we first propose a
difference formula for discretizing the fractional $q$-derivative $^cD_q^\alpha
x(t)$ on the time scale set $T_q$ with order $0<\alpha<1$ and scale index
$0
更新日期:2020-11-25
中文翻译:
在时标上求解非线性$ q $-分数阶微分方程的差分方法
$ q $分数阶微分方程通常描述施加在时间标度集合$ T_q $上的物理过程。在本文中,我们首先提出一个差分公式,用于离散时间尺度集$ T_q $上的分数$ q $-导数$ ^ cD_q ^ \ alpha x(t)$,其阶次为$ 0 <\ alpha <1 $,并且刻度索引$ 0