Fractional Calculus of the Generalized Mittag-Leffler Type Function

descriptionPublicationkeyboard_double_arrow_right Article 18 Aug 2014 English Publisher:WileyJournal:International Scholarly Research Notices, volume 2,014, pages 1-5 (eissn: 2356-7872,

Copyright policy )

Authors: Dinesh Kumar; Sunil Kumar;

doi: 10.1155/2014/907432

pmid: 27437505

pmc: PMC4897335

Fractional Calculus of the Generalized Mittag-Leffler Type Function

- Summary
- Subjects
- Metrics

Abstract

We introduce and study a new function called R-function, which is an extension of the generalized Mittag-Leffler function. We derive the relations that exist between the R-function and Saigo fractional calculus operators. Some results derived by Samko et al. (1993), Kilbas (2005), Kilbas and Saigo (1995), and Sharma and Jain (2009) are special cases of the main results derived in this paper.

Related Organizations

Keywords

Fractional derivatives and integrals, Mittag-Leffler functions and generalizations, Research Article

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	6
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%