Extended Mittag-Leffler function, series and its sum

Author:

Jaraldpushparaj S,Britto Antony Xavier G

Abstract

Abstract This paper introduces first order extended Mittag-Leffler function by using generalized polynomial factorials. By applying generalized ℓ–difference operator, we obtain a formula for the series having extended Mittag-Leffler functions which has several applications in fractional calculus. Suitable examples and numerical verification by MATLAB are inserted to validate our findings.

Publisher

IOP Publishing

Subject

General Physics and Astronomy

Reference9 articles.

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