A Note on Fractional Integral Operator Associated with Multiindex Mittag-Leffler Functions
By Junesang Choi, Praveen Agarwal. 2016
53 citations recorded by the source corpus.
Recently Kiryakova and several other ones have investigated so-called multiindex Mittag-Leffler functions associated with fractional calculus. Here, in this paper, we aim at establishing a new fractional integration formula (of pathway type) involving the generalized multi-index Mittag-Leffler function $E_{\gamma, \kappa}[(\alpha_j,\beta_j)_m; z]$. An interesting special case of our main result is also considered.
Subfields: Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/832472d52c6148088aad150c6abab78ec6c08619
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Hari M. Srivastava
- Qiu-Ming Luo
- Dumitru Băleanu
- Yilmaz Simsek
- Ž. Tomovski
- Mridula Garg
- Jinrong Wang
- Bashir Ahmad
In Modeling and Simulation
- Hari M. Srivastava
- Dumitru Băleanu
- Xiao-jun Yang
- Ž. Tomovski
- Jinrong Wang
- Bashir Ahmad
- Arran Fernandez
- E. Capelas de Oliveira
Citations in the corpus
- Fractional-Order Derivatives and Integrals: Introductory Overview and Recent Developments (2020, background): “11) when γ = κ = 1 reduces to the following multi-index Mittag-Leffler function (see [33]; see also [16]):”