<abstract xmlns="http://www.w3.org/1999/xhtml"><p> In this paper, we study the generalized fractional operators pertaining to the generalized Mittag-Leffler function and multi-index Mittag-Leffler function. Some applications of the established results associated with generalized Wright function are also deduced as corollaries. The results are useful in solving the problems of science, engineering and technology where the Mittag-Leffler function occurs naturally.</p></abstract>

In this paper, we study the generalized fractional operators pertaining to the generalized Mittag-Leffler function and multi-index Mittag-Leffler function. Some applications of the established results associated with generalized Wright function are also deduced as corollaries. The results are useful in solving the problems of science, engineering and technology where the Mittag-Leffler function occurs naturally.

Some Fractional Calculus Results Pertaining To Mittag-Leffler Type Functions

Journal of Applied Mathematics, Statistics and Informatics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Some Fractional Calculus Results Pertaining To Mittag-Leffler Type Functions"}

In this paper, we study the generalized fractional operators pertaining to the generalized Mittag-Leffler function and multi-index Mittag-Leffler function....

Some Fractional Calculus Results Pertaining To Mittag-Leffler Type Functions

Published Online: Jun 23, 2017

Page range: 31 - 48

Received: May 01, 2015

DOI: https://doi.org/10.1515/jamsi-2017-0003

Keywords
Generalized fractional calculus operators, Generalized Mittag-Leffler function, Multi-index Mittag-Leffler function, Generalized Wright function

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Some Fractional Calculus Results Pertaining To Mittag-Leffler Type Functions

Published Online: Jun 23, 2017

Page range: 31 - 48

Received: May 01, 2015

DOI: https://doi.org/10.1515/jamsi-2017-0003

KeywordsGeneralized fractional calculus operators, Generalized Mittag-Leffler function, Multi-index Mittag-Leffler function, Generalized Wright function

© Faculty of Natural Sciences, University of Saint Cyril and Metodius

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
Generalized fractional calculus operators, Generalized Mittag-Leffler function, Multi-index Mittag-Leffler function, Generalized Wright function