Sum of series and new relations for Mittag-Leffler functions

被引：1
作者：
Deif, Sarah A. [1 ]
de Oliveira, E. Capelas [2 ]
机构：
[1] Cairo Univ, Dept Engn Math, Giza 12316, Egypt
[2] Imecc Unicamp, Dept Appl Math, BR-13083859 Campinas, Brazil
来源：
FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2024年 / 27卷 / 04期
关键词：
fractional calculus; Mittag-Leffler type functions; fractional differential equations; integral equation;
D O I：
10.1007/s13540-024-00266-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
An integral equation is constructed relating the three-parameter Mittag-Leffler function with a perturbed one, from which a new property is derived. The latter helps in finding new sums of series of Mittag-Leffler functions. Also, a bound is obtained for the Mittag-Leffler function, allowing to perform a sensitivity analysis, being vital in the solution of fractional differential equations. The bound is also tested on a numerical example.
引用
收藏
页码：1734 / 1758
页数：25
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