The numerical algorithms for discrete Mittag-Leffler functions approximation
2019 ◽
Vol 22
(1)
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pp. 95-112
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Abstract Motivated essentially by the success of the applications of the discrete Mittag-Leffler functions (DMLF) in many areas of science and engineering, the authors present, in a unified manner, a detailed numerical implementation method of the Mittag-Leffler function. With the proposed method, the overflow problem can be well solved. To further improve the practicability, the state transition matrix described by discrete Mittag-Leffler functions are investigated. Some illustrative examples are provided to verify the effectiveness of the proposed theoretical results.
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2017 ◽
Vol 60
(12)
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pp. 2620-2629
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2003 ◽
Vol 81
(6)
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pp. 349-357
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1979 ◽
Vol 7
(1)
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pp. 97-111
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2012 ◽
Vol 249-250
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pp. 652-656
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1987 ◽
Vol 10
(2)
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pp. 218-221
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1975 ◽
Vol 6
(2)
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pp. 107-116