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A note on asymptotic behaviour of Mittag–Leffler functions

JinRong WangDepartment of Mathematics, Guizhou University, Guiyang, Guizhou, People's Republic of ChinaYong ZhouDepartment of Mathematics, Xiangtan University, Xiangtan, Hunan, People's Republic of ChinaDonal O’ReganSchool of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland
2017en
ABI

Аннотация

In this paper, we give a short note on the asymptotic behaviour of the two parameter Mittag–Leffler function. Useful results are collected for the reader and also explicit estimation formulas for this function are obtained which will play a role in existence and stability theory of fractional differential equations.

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