量子广义Mittag-Leffler函数与Caputo q-分数阶方程
A Quantum Generalized Mittag-Leffler Function Via Caputo q-Fractional Equations
摘要：
求解了若干Caputo q-分数阶差分方程。通过一个新引入的广义型q-Mittag-Leffler函数来表示解。采用逐次逼近法求解。得到的Mittag-Leffler函数的q-版本被认为是以前由Kilbas和Saigo引入的一个的q-模拟。
英文摘要：
Some Caputo q-fractional difference equations are solved. The solutions are expressed by means of a new introduced generalized type of q-Mittag-Leffler functions. The method of successive approximation is used to obtain the solutions. The obtained q-version of Mittag-Leffler function is thought as the q-analogue of the one introduced previously by Kilbas and Saigo.
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