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Some Fractional Calculus Results Pertaining To Mittag-Leffler Type Functions

Anupama Choudhary

Anupama Choudhary

Department of Mathematics, Arya College of Engineering & Research Centre, Jaipur-302028,Rajasthan, India
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Choudhary, Anupama
, 
Devendra Kumar

Devendra Kumar

Department of Mathematics, JECRC University, Jaipur-303905,Rajasthan, India
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Kumar, Devendra
 and 
Jagdev Singh

Jagdev Singh

Department of Mathematics, JECRC University, Jaipur-303905,Rajasthan, India
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Singh, Jagdev
  
Jun 23, 2017
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Published Online: Jun 23, 2017
Page range: 31 - 48
Received: May 01, 2015
DOI: https://doi.org/10.1515/jamsi-2017-0003
Keywords
© Faculty of Natural Sciences, University of Saint Cyril and Metodius
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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.

Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Computer Sciences, Information Technology, Mathematics, Logic and Set Theory, Probability and Statistics, Applied Mathematics
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