A note on property of the Mittag-Leffler function

By Jigen Peng, Kexue Li. 2010

66 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/86f4fdbf684a0b229e0962e5cdb71e3ff7f13ebe

How researchers see this paper

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In Applied Mathematics

1. Bowon Kang
2. C. Neto
3. P. de
4. Namjip Koo
5. Sung Kyu Choi

In Modeling and Simulation

1. Bowon Kang
2. Yangang Chen
3. Caibin Zeng
4. C. Neto
5. P. de
6. Namjip Koo
7. Sung Kyu Choi

In Numerical Analysis

1. Yangang Chen
2. Caibin Zeng
3. C. Neto
4. P. de

Citations in the corpus

• Stability for Caputo Fractional Differential Systems (2014, background): “, ea(t+s) = eateas for all t, s ≥ 0), but the Mittag-Leffler function E α (at α ) does not satisfy the semigroup property unless α = 1 or a = 0 [13].”
• Global Padé Approximations of the Generalized Mittag-Leffler Function and its Inverse (2013, background): “Later on, some studies [5, 4, 12, 17, 13, 22, 10] contributed to several properties and applications of the (generalized) Mittag-Leffler functions.”
• Fractional differential equations: a novel study of local and global solutions in Banach spaces (2013, background): “4) follows “the same” construction properties as the usual ordinary case, we can verify in the literature, for instance [55, 56], that is impossible to suppose that the “semigroup property” remain valid to this new solution, i.”