A Study on Generalized Multivariable Mittag-Leffler Function via Generalized Fractional Calculus Operators. (1st August 2019)

• Record Type: Journal Article
• Authors: Suthar, D. L.; Andualem, Mitku; Debalkie, Belete
• Other Names: Makis Viliam Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2019(2019)
• Publication Date: 2019-08-01
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2019/9864737
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : We study some properties of generalized multivariable Mittag-Leffler function. Also we establish two theorems, which give the images of this function under the generalized fractional integral operators involving Fox's H-function as kernel. Relating affirmations in terms of Saigo, Erd é lyi-Kober, Riemann-Liouville, and Weyl type of fractional integrals are also presented. Some known special cases have also been mentioned in the concluding section.